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1. Probabilistic structure of the geodynamo

Author

Scullard, CR and Buffett, BA

Abstract

One of the most intriguing features of Earth's axial magnetic dipole field, well known from the geological record, is its occasional and unpredictable reversal of polarity. Understanding the phenomenon is rendered very difficult by the highly nonlinear nature of the underlying magnetohydrodynamic problem. Numerical simulations of the liquid outer core, where regeneration occurs, are only able to model conditions that are far from Earth-like. On the analytical front, the situation is not much better; basic calculations, such as relating the average rate of reversals to various core parameters, have apparently been intractable. Here, we present a framework for solving such problems. Starting with the magnetic induction equation, we show that by considering its sources to be stochastic processes with fairly general properties, we can derive a differential equation for the joint probability distribution of the dominant toroidal and poloidal modes. This can be simplified to a Fokker-Planck equation and, with the help of an adiabatic approximation, reduced even further to an equation for the dipole amplitude alone. From these equations various quantities related to the magnetic field, including the average reversal rate, field strength, and time to complete a reversal, can be computed as functions of a small number of numerical parameters. These parameters in turn can be computed from physical considerations or constrained by paleomagnetic, numerical, and experimental data.

Published
2018

2. Lawson Criterion for Ignition Exceeded in an Inertial Fusion Experiment

Author

Abu-Shawareb, H, Acree, R, Adams, P, Adams, J, Addis, B, Aden, R, Adrian, P, Afeyan, BB, Aggleton, M, Aghaian, L, Aguirre, A, Aikens, D, Akre, J, Albert, F, Albrecht, M, Albright, BJ, Albritton, J, Alcala, J, Alday, C, Alessi, DA, Alexander, N, Alfonso, J, Alfonso, N, Alger, E, Ali, SJ, Ali, ZA, Alley, WE, Amala, P, Amendt, PA, Amick, P, Ammula, S, Amorin, C, Ampleford, DJ, Anderson, RW, Anklam, T, Antipa, N, Appelbe, B, Aracne-Ruddle, C, Araya, E, Arend, M, Arnold, P, Arnold, T, Asay, J, Atherton, LJ, Atkinson, D, Atkinson, R, Auerbach, JM, Austin, B, Auyang, L, Awwal, AS, Ayers, J, Ayers, S, Ayers, T, Azevedo, S, Bachmann, B, Back, CA, Bae, J, Bailey, DS, Bailey, J, Baisden, T, Baker, KL, Baldis, H, Barber, D, Barberis, M, Barker, D, Barnes, A, Barnes, CW, Barrios, MA, Barty, C, Bass, I, Batha, SH, Baxamusa, SH, Bazan, G, Beagle, JK, Beale, R, Beck, BR, Beck, JB, Bedzyk, M, Beeler, RG, Behrendt, W, Belk, L, Bell, P, Belyaev, M, Benage, JF, Bennett, G, Benedetti, LR, Benedict, LX, Berger, R, Bernat, T, Bernstein, LA, Berry, B, Bertolini, L, Besenbruch, G, Betcher, J, Bettenhausen, R, Betti, R, Bezzerides, B, Bhandarkar, SD, Bickel, R, Biener, J, Biesiada, T, Bigelow, K, Bigelow-Granillo, J, Bigman, V, Bionta, RM, Birge, NW, Bitter, M, Black, AC, Bleile, R, Bleuel, DL, Bliss, E, Blue, B, Boehly, T, Boehm, K, Boley, CD, Bonanno, R, Bond, EJ, Bond, T, Bonino, MJ, Borden, M, Bourgade, J-L, Bousquet, J, Bowers, J, Bowers, M, Boyd, R, Bozek, A, Bradley, DK, Bradley, KS, Bradley, PA, Bradley, L, Brannon, L, Brantley, PS, Braun, D, Braun, T, Brienza-Larsen, K, Briggs, TM, Britten, J, Brooks, ED, Browning, D, Bruhn, MW, Brunner, TA, Bruns, H, Brunton, G, Bryant, B, Buczek, T, Bude, J, Buitano, L, Burkhart, S, Burmark, J, Burnham, A, Burr, R, Busby, LE, Butlin, B, Cabeltis, R, Cable, M, Cabot, WH, Cagadas, B, Caggiano, J, Cahayag, R, Caldwell, SE, Calkins, S, Callahan, DA, Calleja-Aguirre, J, Camara, L, Camp, D, Campbell, EM, Campbell, JH, Carey, B, Carey, R, Carlisle, K, Carlson, L, Carman, L, Carmichael, J, Carpenter, A, Carr, C, Carrera, JA, Casavant, D, Casey, A, Casey, DT, Castillo, A, Castillo, E, Castor, JI, Castro, C, Caughey, W, Cavitt, R, Celeste, J, Celliers, PM, Cerjan, C, Chandler, G, Chang, B, Chang, C, Chang, J, Chang, L, Chapman, R, Chapman, T, Chase, L, Chen, H, Chen, K, Chen, L-Y, Cheng, B, Chittenden, J, Choate, C, Chou, J, Chrien, RE, Chrisp, M, Christensen, K, Christensen, M, Christopherson, AR, Chung, M, Church, JA, Clark, A, Clark, DS, Clark, K, Clark, R, Claus, L, Cline, B, Cline, JA, Cobble, JA, Cochrane, K, Cohen, B, Cohen, S, Collette, MR, Collins, G, Collins, LA, Collins, TJB, Conder, A, Conrad, B, Conyers, M, Cook, AW, Cook, D, Cook, R, Cooley, JC, Cooper, G, Cope, T, Copeland, SR, Coppari, F, Cortez, J, Cox, J, Crandall, DH, Crane, J, Craxton, RS, Cray, M, Crilly, A, Crippen, JW, Cross, D, Cuneo, M, Cuotts, G, Czajka, CE, Czechowicz, D, Daly, T, Danforth, P, Darbee, R, Darlington, B, Datte, P, Dauffy, L, Davalos, G, Davidovits, S, Davis, P, Davis, J, Dawson, S, Day, RD, Day, TH, Dayton, M, Deck, C, Decker, C, Deeney, C, DeFriend, KA, Deis, G, Delamater, ND, Delettrez, JA, Demaret, R, Demos, S, Dempsey, SM, Desjardin, R, Desjardins, T, Desjarlais, MP, Dewald, EL, DeYoreo, J, Diaz, S, Dimonte, G, Dittrich, TR, Divol, L, Dixit, SN, Dixon, J, Dodd, ES, Dolan, D, Donovan, A, Donovan, M, Döppner, T, Dorrer, C, Dorsano, N, Douglas, MR, Dow, D, Downie, J, Downing, E, Dozieres, M, Draggoo, V, Drake, D, Drake, RP, Drake, T, Dreifuerst, G, DuBois, DF, DuBois, PF, Dunham, G, Dylla-Spears, R, Dymoke-Bradshaw, AKL, Dzenitis, B, Ebbers, C, Eckart, M, Eddinger, S, Eder, D, Edgell, D, Edwards, MJ, Efthimion, P, Eggert, JH, Ehrlich, B, Ehrmann, P, Elhadj, S, Ellerbee, C, Elliott, NS, Ellison, CL, Elsner, F, Emerich, M, Engelhorn, K, England, T, English, E, Epperson, P, Epstein, R, Erbert, G, Erickson, MA, Erskine, DJ, Erlandson, A, Espinosa, RJ, Estes, C, Estabrook, KG, Evans, S, Fabyan, A, Fair, J, Fallejo, R, Farmer, N, Farmer, WA, Farrell, M, Fatherley, VE, Fedorov, M, Feigenbaum, E, Feit, M, Ferguson, W, Fernandez, JC, Fernandez-Panella, A, Fess, S, Field, JE, Filip, CV, Fincke, JR, Finn, T, Finnegan, SM, Finucane, RG, Fischer, M, Fisher, A, Fisher, J, Fishler, B, Fittinghoff, D, Fitzsimmons, P, Flegel, M, Flippo, KA, Florio, J, Folta, J, Folta, P, Foreman, LR, Forrest, C, Forsman, A, Fooks, J, Foord, M, Fortner, R, Fournier, K, Fratanduono, DE, Frazier, N, Frazier, T, Frederick, C, Freeman, MS, Frenje, J, Frey, D, Frieders, G, Friedrich, S, Froula, DH, Fry, J, Fuller, T, Gaffney, J, Gales, S, Le Galloudec, B, Le Galloudec, KK, Gambhir, A, Gao, L, Garbett, WJ, Garcia, A, Gates, C, Gaut, E, Gauthier, P, Gavin, Z, Gaylord, J, Geissel, M, Génin, F, Georgeson, J, Geppert-Kleinrath, H, Geppert-Kleinrath, V, Gharibyan, N, Gibson, J, Gibson, C, Giraldez, E, Glebov, V, Glendinning, SG, Glenn, S, Glenzer, SH, Goade, S, Gobby, PL, Goldman, SR, Golick, B, Gomez, M, Goncharov, V, Goodin, D, Grabowski, P, Grafil, E, Graham, P, Grandy, J, Grasz, E, Graziani, F, Greenman, G, Greenough, JA, Greenwood, A, Gregori, G, Green, T, Griego, JR, Grim, GP, Grondalski, J, Gross, S, Guckian, J, Guler, N, Gunney, B, Guss, G, Haan, S, Hackbarth, J, Hackel, L, Hackel, R, Haefner, C, Hagmann, C, Hahn, KD, Hahn, S, Haid, BJ, Haines, BM, Hall, BM, Hall, C, Hall, GN, Hamamoto, M, Hamel, S, Hamilton, CE, Hammel, BA, Hammer, JH, Hampton, G, Hamza, A, Handler, A, Hansen, S, Hanson, D, Haque, R, Harding, D, Harding, E, Hares, JD, Harris, DB, Harte, JA, Hartouni, EP, Hatarik, R, Hatchett, S, Hauer, AA, Havre, M, Hawley, R, Hayes, J, Hayes, S, Hayes-Sterbenz, A, Haynam, CA, Haynes, DA, Headley, D, Heal, A, Heebner, JE, Heerey, S, Heestand, GM, Heeter, R, Hein, N, Heinbockel, C, Hendricks, C, Henesian, M, Heninger, J, Henrikson, J, Henry, EA, Herbold, EB, Hermann, MR, Hermes, G, Hernandez, JE, Hernandez, VJ, Herrmann, MC, Herrmann, HW, Herrera, OD, Hewett, D, Hibbard, R, Hicks, DG, Hill, D, Hill, K, Hilsabeck, T, Hinkel, DE, Ho, DD, Ho, VK, Hoffer, JK, Hoffman, NM, Hohenberger, M, Hohensee, M, Hoke, W, Holdener, D, Holdener, F, Holder, JP, Holko, B, Holunga, D, Holzrichter, JF, Honig, J, Hoover, D, Hopkins, D, Berzak Hopkins, L, Hoppe, M, Hoppe, ML, Horner, J, Hornung, R, Horsfield, CJ, Horvath, J, Hotaling, D, House, R, Howell, L, Hsing, WW, Hu, SX, Huang, H, Huckins, J, Hui, H, Humbird, KD, Hund, J, Hunt, J, Hurricane, OA, Hutton, M, Huynh, KH-K, Inandan, L, Iglesias, C, Igumenshchev, IV, Izumi, N, Jackson, M, Jackson, J, Jacobs, SD, James, G, Jancaitis, K, Jarboe, J, Jarrott, LC, Jasion, D, Jaquez, J, Jeet, J, Jenei, AE, Jensen, J, Jimenez, J, Jimenez, R, Jobe, D, Johal, Z, Johns, HM, Johnson, D, Johnson, MA, Gatu Johnson, M, Johnson, RJ, Johnson, S, Johnson, SA, Johnson, T, Jones, K, Jones, O, Jones, M, Jorge, R, Jorgenson, HJ, Julian, M, Jun, BI, Jungquist, R, Kaae, J, Kabadi, N, Kaczala, D, Kalantar, D, Kangas, K, Karasiev, VV, Karasik, M, Karpenko, V, Kasarky, A, Kasper, K, Kauffman, R, Kaufman, MI, Keane, C, Keaty, L, Kegelmeyer, L, Keiter, PA, Kellett, PA, Kellogg, J, Kelly, JH, Kemic, S, Kemp, AJ, Kemp, GE, Kerbel, GD, Kershaw, D, Kerr, SM, Kessler, TJ, Key, MH, Khan, SF, Khater, H, Kiikka, C, Kilkenny, J, Kim, Y, Kim, Y-J, Kimko, J, Kimmel, M, Kindel, JM, King, J, Kirkwood, RK, Klaus, L, Klem, D, Kline, JL, Klingmann, J, Kluth, G, Knapp, P, Knauer, J, Knipping, J, Knudson, M, Kobs, D, Koch, J, Kohut, T, Kong, C, Koning, JM, Koning, P, Konior, S, Kornblum, H, Kot, LB, Kozioziemski, B, Kozlowski, M, Kozlowski, PM, Krammen, J, Krasheninnikova, NS, Kraus, B, Krauser, W, Kress, JD, Kritcher, AL, Krieger, E, Kroll, JJ, Kruer, WL, Kruse, MKG, Kucheyev, S, Kumbera, M, Kumpan, S, Kunimune, J, Kustowski, B, Kwan, TJT, Kyrala, GA, Laffite, S, Lafon, M, LaFortune, K, Lahmann, B, Lairson, B, Landen, OL, Langenbrunner, J, Lagin, L, Land, T, Lane, M, Laney, D, Langdon, AB, Langer, SH, Langro, A, Lanier, NE, Lanier, TE, Larson, D, Lasinski, BF, Lassle, D, LaTray, D, Lau, G, Lau, N, Laumann, C, Laurence, A, Laurence, TA, Lawson, J, Le, HP, Leach, RR, Leal, L, Leatherland, A, LeChien, K, Lechleiter, B, Lee, A, Lee, M, Lee, T, Leeper, RJ, Lefebvre, E, Leidinger, J-P, LeMire, B, Lemke, RW, Lemos, NC, Le Pape, S, Lerche, R, Lerner, S, Letts, S, Levedahl, K, Lewis, T, Li, CK, Li, H, Li, J, Liao, W, Liao, ZM, Liedahl, D, Liebman, J, Lindford, G, Lindman, EL, Lindl, JD, Loey, H, London, RA, Long, F, Loomis, EN, Lopez, FE, Lopez, H, Losbanos, E, Loucks, S, Lowe-Webb, R, Lundgren, E, Ludwigsen, AP, Luo, R, Lusk, J, Lyons, R, Ma, T, Macallop, Y, MacDonald, MJ, MacGowan, BJ, Mack, JM, Mackinnon, AJ, MacLaren, SA, MacPhee, AG, Magelssen, GR, Magoon, J, Malone, RM, Malsbury, T, Managan, R, Mancini, R, Manes, K, Maney, D, Manha, D, Mannion, OM, Manuel, AM, Mapoles, E, Mara, G, Marcotte, T, Marin, E, Marinak, MM, Mariscal, C, Mariscal, DA, Mariscal, EF, Marley, EV, Marozas, JA, Marquez, R, Marshall, CD, Marshall, FJ, Marshall, M, Marshall, S, Marticorena, J, Martinez, D, Maslennikov, I, Mason, D, Mason, RJ, Masse, L, Massey, W, Masson-Laborde, P-E, Masters, ND, Mathisen, D, Mathison, E, Matone, J, Matthews, MJ, Mattoon, C, Mattsson, TR, Matzen, K, Mauche, CW, Mauldin, M, McAbee, T, McBurney, M, Mccarville, T, McCrory, RL, McEvoy, AM, McGuffey, C, Mcinnis, M, McKenty, P, McKinley, MS, McLeod, JB, McPherson, A, Mcquillan, B, Meamber, M, Meaney, KD, Meezan, NB, Meissner, R, Mehlhorn, TA, Mehta, NC, Menapace, J, Merrill, FE, Merritt, BT, Merritt, EC, Meyerhofer, DD, Mezyk, S, Mich, RJ, Michel, PA, Milam, D, Miller, C, Miller, D, Miller, DS, Miller, E, Miller, EK, Miller, J, Miller, M, Miller, PE, Miller, T, Miller, W, Miller-Kamm, V, Millot, M, Milovich, JL, Minner, P, Miquel, J-L, Mitchell, S, Molvig, K, Montesanti, RC, Montgomery, DS, Monticelli, M, Montoya, A, Moody, JD, Moore, AS, Moore, E, Moran, M, Moreno, JC, Moreno, K, Morgan, BE, Morrow, T, Morton, JW, Moses, E, Moy, K, Muir, R, Murillo, MS, Murray, JE, Murray, JR, Munro, DH, Murphy, TJ, Munteanu, FM, Nafziger, J, Nagayama, T, Nagel, SR, Nast, R, Negres, RA, Nelson, A, Nelson, D, Nelson, J, Nelson, S, Nemethy, S, Neumayer, P, Newman, K, Newton, M, Nguyen, H, Di Nicola, J-MG, Di Nicola, P, Niemann, C, Nikroo, A, Nilson, PM, Nobile, A, Noorai, V, Nora, R, Norton, M, Nostrand, M, Note, V, Novell, S, Nowak, PF, Nunez, A, Nyholm, RA, O'Brien, M, Oceguera, A, Oertel, JA, Okui, J, Olejniczak, B, Oliveira, J, Olsen, P, Olson, B, Olson, K, Olson, RE, Opachich, YP, Orsi, N, Orth, CD, Owen, M, Padalino, S, Padilla, E, Paguio, R, Paguio, S, Paisner, J, Pajoom, S, Pak, A, Palaniyappan, S, Palma, K, Pannell, T, Papp, F, Paras, D, Parham, T, Park, H-S, Pasternak, A, Patankar, S, Patel, MV, Patel, PK, Patterson, R, Patterson, S, Paul, B, Paul, M, Pauli, E, Pearce, OT, Pearcy, J, Pedrotti, B, Peer, A, Pelz, LJ, Penetrante, B, Penner, J, Perez, A, Perkins, LJ, Pernice, E, Perry, TS, Person, S, Petersen, D, Petersen, T, Peterson, DL, Peterson, EB, Peterson, JE, Peterson, JL, Peterson, K, Peterson, RR, Petrasso, RD, Philippe, F, Phipps, TJ, Piceno, E, Ping, Y, Pickworth, L, Pino, J, Plummer, R, Pollack, GD, Pollaine, SM, Pollock, BB, Ponce, D, Ponce, J, Pontelandolfo, J, Porter, JL, Post, J, Poujade, O, Powell, C, Powell, H, Power, G, Pozulp, M, Prantil, M, Prasad, M, Pratuch, S, Price, S, Primdahl, K, Prisbrey, S, Procassini, R, Pruyne, A, Pudliner, B, Qiu, SR, Quan, K, Quinn, M, Quintenz, J, Radha, PB, Rainer, F, Ralph, JE, Raman, KS, Raman, R, Rambo, P, Rana, S, Randewich, A, Rardin, D, Ratledge, M, Ravelo, N, Ravizza, F, Rayce, M, Raymond, A, Raymond, B, Reed, B, Reed, C, Regan, S, Reichelt, B, Reis, V, Reisdorf, S, Rekow, V, Remington, BA, Rendon, A, Requieron, W, Rever, M, Reynolds, H, Reynolds, J, Rhodes, J, Rhodes, M, Richardson, MC, Rice, B, Rice, NG, Rieben, R, Rigatti, A, Riggs, S, Rinderknecht, HG, Ring, K, Riordan, B, Riquier, R, Rivers, C, Roberts, D, Roberts, V, Robertson, G, Robey, HF, Robles, J, Rocha, P, Rochau, G, Rodriguez, J, Rodriguez, S, Rosen, M, Rosenberg, M, Ross, G, Ross, JS, Ross, P, Rouse, J, Rovang, D, Rubenchik, AM, Rubery, MS, Ruiz, CL, Rushford, M, Russ, B, Rygg, JR, Ryujin, BS, Sacks, RA, Sacks, RF, Saito, K, Salmon, T, Salmonson, JD, Sanchez, J, Samuelson, S, Sanchez, M, Sangster, C, Saroyan, A, Sater, J, Satsangi, A, Sauers, S, Saunders, R, Sauppe, JP, Sawicki, R, Sayre, D, Scanlan, M, Schaffers, K, Schappert, GT, Schiaffino, S, Schlossberg, DJ, Schmidt, DW, Schmitt, MJ, Schneider, DHG, Schneider, MB, Schneider, R, Schoff, M, Schollmeier, M, Schölmerich, M, Schroeder, CR, Schrauth, SE, Scott, HA, Scott, I, Scott, JM, Scott, RHH, Scullard, CR, Sedillo, T, Seguin, FH, Seka, W, Senecal, J, Sepke, SM, Seppala, L, Sequoia, K, Severyn, J, Sevier, JM, Sewell, N, Seznec, S, Shah, RC, Shamlian, J, Shaughnessy, D, Shaw, M, Shaw, R, Shearer, C, Shelton, R, Shen, N, Sherlock, MW, Shestakov, AI, Shi, EL, Shin, SJ, Shingleton, N, Shmayda, W, Shor, M, Shoup, M, Shuldberg, C, Siegel, L, Silva, FJ, Simakov, AN, Sims, BT, Sinars, D, Singh, P, Sio, H, Skulina, K, Skupsky, S, Slutz, S, Sluyter, M, Smalyuk, VA, Smauley, D, Smeltser, RM, Smith, C, Smith, I, Smith, J, Smith, L, Smith, R, Sohn, R, Sommer, S, Sorce, C, Sorem, M, Soures, JM, Spaeth, ML, Spears, BK, Speas, S, Speck, D, Speck, R, Spears, J, Spinka, T, Springer, PT, Stadermann, M, Stahl, B, Stahoviak, J, Stanton, LG, Steele, R, Steele, W, Steinman, D, Stemke, R, Stephens, R, Sterbenz, S, Sterne, P, Stevens, D, Stevers, J, Still, CB, Stoeckl, C, Stoeffl, W, Stolken, JS, Stolz, C, Storm, E, Stone, G, Stoupin, S, Stout, E, Stowers, I, Strauser, R, Streckart, H, Streit, J, Strozzi, DJ, Suratwala, T, Sutcliffe, G, Suter, LJ, Sutton, SB, Svidzinski, V, Swadling, G, Sweet, W, Szoke, A, Tabak, M, Takagi, M, Tambazidis, A, Tang, V, Taranowski, M, Taylor, LA, Telford, S, Theobald, W, Thi, M, Thomas, A, Thomas, CA, Thomas, I, Thomas, R, Thompson, IJ, Thongstisubskul, A, Thorsness, CB, Tietbohl, G, Tipton, RE, Tobin, M, Tomlin, N, Tommasini, R, Toreja, AJ, Torres, J, Town, RPJ, Townsend, S, Trenholme, J, Trivelpiece, A, Trosseille, C, Truax, H, Trummer, D, Trummer, S, Truong, T, Tubbs, D, Tubman, ER, Tunnell, T, Turnbull, D, Turner, RE, Ulitsky, M, Upadhye, R, Vaher, JL, VanArsdall, P, VanBlarcom, D, Vandenboomgaerde, M, VanQuinlan, R, Van Wonterghem, BM, Varnum, WS, Velikovich, AL, Vella, A, Verdon, CP, Vermillion, B, Vernon, S, Vesey, R, Vickers, J, Vignes, RM, Visosky, M, Vocke, J, Volegov, PL, Vonhof, S, Von Rotz, R, Vu, HX, Vu, M, Wall, D, Wall, J, Wallace, R, Wallin, B, Walmer, D, Walsh, CA, Walters, CF, Waltz, C, Wan, A, Wang, A, Wang, Y, Wark, JS, Warner, BE, Watson, J, Watt, RG, Watts, P, Weaver, J, Weaver, RP, Weaver, S, Weber, CR, Weber, P, Weber, SV, Wegner, P, Welday, B, Welser-Sherrill, L, Weiss, K, Widmann, K, Wheeler, GF, Whistler, W, White, RK, Whitley, HD, Whitman, P, Wickett, ME, Widmayer, C, Wiedwald, J, Wilcox, R, Wilcox, S, Wild, C, Wilde, BH, Wilde, CH, Wilhelmsen, K, Wilke, MD, Wilkens, H, Wilkins, P, Wilks, SC, Williams, EA, Williams, GJ, Williams, W, Williams, WH, Wilson, DC, Wilson, B, Wilson, E, Wilson, R, Winters, S, Wisoff, J, Wittman, M, Wolfe, J, Wong, A, Wong, KW, Wong, L, Wong, N, Wood, R, Woodhouse, D, Woodruff, J, Woods, DT, Woods, S, Woodworth, BN, Wooten, E, Wootton, A, Work, K, Workman, JB, Wright, J, Wu, M, Wuest, C, Wysocki, FJ, Xu, H, Yamaguchi, M, Yang, B, Yang, ST, Yatabe, J, Yeamans, CB, Yee, BC, Yi, SA, Yin, L, Young, B, Young, CS, Young, CV, Young, P, Youngblood, K, Zacharias, R, Zagaris, G, Zaitseva, N, Zaka, F, Ze, F, Zeiger, B, Zika, M, Zimmerman, GB, Zobrist, T, Zuegel, JD, Zylstra, AB, Indirect Drive ICF Collaboration, Collaboration, Indirect Drive ICF, AWE Plc, Lawrence Livermore National Laboratory, and U.S Department of Energy

Subjects
General Physics, 02 Physical Sciences, General Physics and Astronomy, Indirect Drive ICF Collaboration, 01 Mathematical Sciences, 09 Engineering
Abstract

For more than half a century, researchers around the world have been engaged in attempts to achieve fusion ignition as a proof of principle of various fusion concepts. Following the Lawson criterion, an ignited plasma is one where the fusion heating power is high enough to overcome all the physical processes that cool the fusion plasma, creating a positive thermodynamic feedback loop with rapidly increasing temperature. In inertially confined fusion, ignition is a state where the fusion plasma can begin "burn propagation" into surrounding cold fuel, enabling the possibility of high energy gain. While "scientific breakeven" (i.e., unity target gain) has not yet been achieved (here target gain is 0.72, 1.37 MJ of fusion for 1.92 MJ of laser energy), this Letter reports the first controlled fusion experiment, using laser indirect drive, on the National Ignition Facility to produce capsule gain (here 5.8) and reach ignition by nine different formulations of the Lawson criterion.

Published
2022

3. Achievement of Target Gain Larger than Unity in an Inertial Fusion Experiment.

Author

Abu-Shawareb H, Acree R, Adams P, Adams J, Addis B, Aden R, Adrian P, Afeyan BB, Aggleton M, Aghaian L, Aguirre A, Aikens D, Akre J, Albert F, Albrecht M, Albright BJ, Albritton J, Alcala J, Alday C, Alessi DA, Alexander N, Alfonso J, Alfonso N, Alger E, Ali SJ, Ali ZA, Allen A, Alley WE, Amala P, Amendt PA, Amick P, Ammula S, Amorin C, Ampleford DJ, Anderson RW, Anklam T, Antipa N, Appelbe B, Aracne-Ruddle C, Araya E, Archuleta TN, Arend M, Arnold P, Arnold T, Arsenlis A, Asay J, Atherton LJ, Atkinson D, Atkinson R, Auerbach JM, Austin B, Auyang L, Awwal AAS, Aybar N, Ayers J, Ayers S, Ayers T, Azevedo S, Bachmann B, Back CA, Bae J, Bailey DS, Bailey J, Baisden T, Baker KL, Baldis H, Barber D, Barberis M, Barker D, Barnes A, Barnes CW, Barrios MA, Barty C, Bass I, Batha SH, Baxamusa SH, Bazan G, Beagle JK, Beale R, Beck BR, Beck JB, Bedzyk M, Beeler RG, Beeler RG, Behrendt W, Belk L, Bell P, Belyaev M, Benage JF, Bennett G, Benedetti LR, Benedict LX, Berger RL, Bernat T, Bernstein LA, Berry B, Bertolini L, Besenbruch G, Betcher J, Bettenhausen R, Betti R, Bezzerides B, Bhandarkar SD, Bickel R, Biener J, Biesiada T, Bigelow K, Bigelow-Granillo J, Bigman V, Bionta RM, Birge NW, Bitter M, Black AC, Bleile R, Bleuel DL, Bliss E, Bliss E, Blue B, Boehly T, Boehm K, Boley CD, Bonanno R, Bond EJ, Bond T, Bonino MJ, Borden M, Bourgade JL, Bousquet J, Bowers J, Bowers M, Boyd R, Boyle D, Bozek A, Bradley DK, Bradley KS, Bradley PA, Bradley L, Brannon L, Brantley PS, Braun D, Braun T, Brienza-Larsen K, Briggs R, Briggs TM, Britten J, Brooks ED, Browning D, Bruhn MW, Brunner TA, Bruns H, Brunton G, Bryant B, Buczek T, Bude J, Buitano L, Burkhart S, Burmark J, Burnham A, Burr R, Busby LE, Butlin B, Cabeltis R, Cable M, Cabot WH, Cagadas B, Caggiano J, Cahayag R, Caldwell SE, Calkins S, Callahan DA, Calleja-Aguirre J, Camara L, Camp D, Campbell EM, Campbell JH, Carey B, Carey R, Carlisle K, Carlson L, Carman L, Carmichael J, Carpenter A, Carr C, Carrera JA, Casavant D, Casey A, Casey DT, Castillo A, Castillo E, Castor JI, Castro C, Caughey W, Cavitt R, Celeste J, Celliers PM, Cerjan C, Chandler G, Chang B, Chang C, Chang J, Chang L, Chapman R, Chapman TD, Chase L, Chen H, Chen H, Chen K, Chen LY, Cheng B, Chittenden J, Choate C, Chou J, Chrien RE, Chrisp M, Christensen K, Christensen M, Christiansen NS, Christopherson AR, Chung M, Church JA, Clark A, Clark DS, Clark K, Clark R, Claus L, Cline B, Cline JA, Cobble JA, Cochrane K, Cohen B, Cohen S, Collette MR, Collins GW, Collins LA, Collins TJB, Conder A, Conrad B, Conyers M, Cook AW, Cook D, Cook R, Cooley JC, Cooper G, Cope T, Copeland SR, Coppari F, Cortez J, Cox J, Crandall DH, Crane J, Craxton RS, Cray M, Crilly A, Crippen JW, Cross D, Cuneo M, Cuotts G, Czajka CE, Czechowicz D, Daly T, Danforth P, Danly C, Darbee R, Darlington B, Datte P, Dauffy L, Davalos G, Davidovits S, Davis P, Davis J, Dawson S, Day RD, Day TH, Dayton M, Deck C, Decker C, Deeney C, DeFriend KA, Deis G, Delamater ND, Delettrez JA, Demaret R, Demos S, Dempsey SM, Desjardin R, Desjardins T, Desjarlais MP, Dewald EL, DeYoreo J, Diaz S, Dimonte G, Dittrich TR, Divol L, Dixit SN, Dixon J, Do A, Dodd ES, Dolan D, Donovan A, Donovan M, Döppner T, Dorrer C, Dorsano N, Douglas MR, Dow D, Downie J, Downing E, Dozieres M, Draggoo V, Drake D, Drake RP, Drake T, Dreifuerst G, Drury O, DuBois DF, DuBois PF, Dunham G, Durocher M, Dylla-Spears R, Dymoke-Bradshaw AKL, Dzenitis B, Ebbers C, Eckart M, Eddinger S, Eder D, Edgell D, Edwards MJ, Efthimion P, Eggert JH, Ehrlich B, Ehrmann P, Elhadj S, Ellerbee C, Elliott NS, Ellison CL, Elsner F, Emerich M, Engelhorn K, England T, English E, Epperson P, Epstein R, Erbert G, Erickson MA, Erskine DJ, Erlandson A, Espinosa RJ, Estes C, Estabrook KG, Evans S, Fabyan A, Fair J, Fallejo R, Farmer N, Farmer WA, Farrell M, Fatherley VE, Fedorov M, Feigenbaum E, Fehrenbach T, Feit M, Felker B, Ferguson W, Fernandez JC, Fernandez-Panella A, Fess S, Field JE, Filip CV, Fincke JR, Finn T, Finnegan SM, Finucane RG, Fischer M, Fisher A, Fisher J, Fishler B, Fittinghoff D, Fitzsimmons P, Flegel M, Flippo KA, Florio J, Folta J, Folta P, Foreman LR, Forrest C, Forsman A, Fooks J, Foord M, Fortner R, Fournier K, Fratanduono DE, Frazier N, Frazier T, Frederick C, Freeman MS, Frenje J, Frey D, Frieders G, Friedrich S, Froula DH, Fry J, Fuller T, Gaffney J, Gales S, Le Galloudec B, Le Galloudec KK, Gambhir A, Gao L, Garbett WJ, Garcia A, Gates C, Gaut E, Gauthier P, Gavin Z, Gaylord J, Geddes CGR, Geissel M, Génin F, Georgeson J, Geppert-Kleinrath H, Geppert-Kleinrath V, Gharibyan N, Gibson J, Gibson C, Giraldez E, Glebov V, Glendinning SG, Glenn S, Glenzer SH, Goade S, Gobby PL, Goldman SR, Golick B, Gomez M, Goncharov V, Goodin D, Grabowski P, Grafil E, Graham P, Grandy J, Grasz E, Graziani FR, Greenman G, Greenough JA, Greenwood A, Gregori G, Green T, Griego JR, Grim GP, Grondalski J, Gross S, Guckian J, Guler N, Gunney B, Guss G, Haan S, Hackbarth J, Hackel L, Hackel R, Haefner C, Hagmann C, Hahn KD, Hahn S, Haid BJ, Haines BM, Hall BM, Hall C, Hall GN, Hamamoto M, Hamel S, Hamilton CE, Hammel BA, Hammer JH, Hampton G, Hamza A, Handler A, Hansen S, Hanson D, Haque R, Harding D, Harding E, Hares JD, Harris DB, Harte JA, Hartouni EP, Hatarik R, Hatchett S, Hauer AA, Havre M, Hawley R, Hayes J, Hayes J, Hayes S, Hayes-Sterbenz A, Haynam CA, Haynes DA, Headley D, Heal A, Heebner JE, Heerey S, Heestand GM, Heeter R, Hein N, Heinbockel C, Hendricks C, Henesian M, Heninger J, Henrikson J, Henry EA, Herbold EB, Hermann MR, Hermes G, Hernandez JE, Hernandez VJ, Herrmann MC, Herrmann HW, Herrera OD, Hewett D, Hibbard R, Hicks DG, Higginson DP, Hill D, Hill K, Hilsabeck T, Hinkel DE, Ho DD, Ho VK, Hoffer JK, Hoffman NM, Hohenberger M, Hohensee M, Hoke W, Holdener D, Holdener F, Holder JP, Holko B, Holunga D, Holzrichter JF, Honig J, Hoover D, Hopkins D, Berzak Hopkins LF, Hoppe M, Hoppe ML, Horner J, Hornung R, Horsfield CJ, Horvath J, Hotaling D, House R, Howell L, Hsing WW, Hu SX, Huang H, Huckins J, Hui H, Humbird KD, Hund J, Hunt J, Hurricane OA, Hutton M, Huynh KH, Inandan L, Iglesias C, Igumenshchev IV, Ivanovich I, Izumi N, Jackson M, Jackson J, Jacobs SD, James G, Jancaitis K, Jarboe J, Jarrott LC, Jasion D, Jaquez J, Jeet J, Jenei AE, Jensen J, Jimenez J, Jimenez R, Jobe D, Johal Z, Johns HM, Johnson D, Johnson MA, Gatu Johnson M, Johnson RJ, Johnson S, Johnson SA, Johnson T, Jones K, Jones O, Jones M, Jorge R, Jorgenson HJ, Julian M, Jun BI, Jungquist R, Kaae J, Kabadi N, Kaczala D, Kalantar D, Kangas K, Karasiev VV, Karasik M, Karpenko V, Kasarky A, Kasper K, Kauffman R, Kaufman MI, Keane C, Keaty L, Kegelmeyer L, Keiter PA, Kellett PA, Kellogg J, Kelly JH, Kemic S, Kemp AJ, Kemp GE, Kerbel GD, Kershaw D, Kerr SM, Kessler TJ, Key MH, Khan SF, Khater H, Kiikka C, Kilkenny J, Kim Y, Kim YJ, Kimko J, Kimmel M, Kindel JM, King J, Kirkwood RK, Klaus L, Klem D, Kline JL, Klingmann J, Kluth G, Knapp P, Knauer J, Knipping J, Knudson M, Kobs D, Koch J, Kohut T, Kong C, Koning JM, Koning P, Konior S, Kornblum H, Kot LB, Kozioziemski B, Kozlowski M, Kozlowski PM, Krammen J, Krasheninnikova NS, Krauland CM, Kraus B, Krauser W, Kress JD, Kritcher AL, Krieger E, Kroll JJ, Kruer WL, Kruse MKG, Kucheyev S, Kumbera M, Kumpan S, Kunimune J, Kur E, Kustowski B, Kwan TJT, Kyrala GA, Laffite S, Lafon M, LaFortune K, Lagin L, Lahmann B, Lairson B, Landen OL, Land T, Lane M, Laney D, Langdon AB, Langenbrunner J, Langer SH, Langro A, Lanier NE, Lanier TE, Larson D, Lasinski BF, Lassle D, LaTray D, Lau G, Lau N, Laumann C, Laurence A, Laurence TA, Lawson J, Le HP, Leach RR, Leal L, Leatherland A, LeChien K, Lechleiter B, Lee A, Lee M, Lee T, Leeper RJ, Lefebvre E, Leidinger JP, LeMire B, Lemke RW, Lemos NC, Le Pape S, Lerche R, Lerner S, Letts S, Levedahl K, Lewis T, Li CK, Li H, Li J, Liao W, Liao ZM, Liedahl D, Liebman J, Lindford G, Lindman EL, Lindl JD, Loey H, London RA, Long F, Loomis EN, Lopez FE, Lopez H, Losbanos E, Loucks S, Lowe-Webb R, Lundgren E, Ludwigsen AP, Luo R, Lusk J, Lyons R, Ma T, Macallop Y, MacDonald MJ, MacGowan BJ, Mack JM, Mackinnon AJ, MacLaren SA, MacPhee AG, Magelssen GR, Magoon J, Malone RM, Malsbury T, Managan R, Mancini R, Manes K, Maney D, Manha D, Mannion OM, Manuel AM, Manuel MJ, Mapoles E, Mara G, Marcotte T, Marin E, Marinak MM, Mariscal DA, Mariscal EF, Marley EV, Marozas JA, Marquez R, Marshall CD, Marshall FJ, Marshall M, Marshall S, Marticorena J, Martinez JI, Martinez D, Maslennikov I, Mason D, Mason RJ, Masse L, Massey W, Masson-Laborde PE, Masters ND, Mathisen D, Mathison E, Matone J, Matthews MJ, Mattoon C, Mattsson TR, Matzen K, Mauche CW, Mauldin M, McAbee T, McBurney M, Mccarville T, McCrory RL, McEvoy AM, McGuffey C, Mcinnis M, McKenty P, McKinley MS, McLeod JB, McPherson A, Mcquillan B, Meamber M, Meaney KD, Meezan NB, Meissner R, Mehlhorn TA, Mehta NC, Menapace J, Merrill FE, Merritt BT, Merritt EC, Meyerhofer DD, Mezyk S, Mich RJ, Michel PA, Milam D, Miller C, Miller D, Miller DS, Miller E, Miller EK, Miller J, Miller M, Miller PE, Miller T, Miller W, Miller-Kamm V, Millot M, Milovich JL, Minner P, Miquel JL, Mitchell S, Molvig K, Montesanti RC, Montgomery DS, Monticelli M, Montoya A, Moody JD, Moore AS, Moore E, Moran M, Moreno JC, Moreno K, Morgan BE, Morrow T, Morton JW, Moses E, Moy K, Muir R, Murillo MS, Murray JE, Murray JR, Munro DH, Murphy TJ, Munteanu FM, Nafziger J, Nagayama T, Nagel SR, Nast R, Negres RA, Nelson A, Nelson D, Nelson J, Nelson S, Nemethy S, Neumayer P, Newman K, Newton M, Nguyen H, Di Nicola JG, Di Nicola P, Niemann C, Nikroo A, Nilson PM, Nobile A, Noorai V, Nora RC, Norton M, Nostrand M, Note V, Novell S, Nowak PF, Nunez A, Nyholm RA, O'Brien M, Oceguera A, Oertel JA, Oesterle AL, Okui J, Olejniczak B, Oliveira J, Olsen P, Olson B, Olson K, Olson RE, Opachich YP, Orsi N, Orth CD, Owen M, Padalino S, Padilla E, Paguio R, Paguio S, Paisner J, Pajoom S, Pak A, Palaniyappan S, Palma K, Pannell T, Papp F, Paras D, Parham T, Park HS, Pasternak A, Patankar S, Patel MV, Patel PK, Patterson R, Patterson S, Paul B, Paul M, Pauli E, Pearce OT, Pearcy J, Pedretti A, Pedrotti B, Peer A, Pelz LJ, Penetrante B, Penner J, Perez A, Perkins LJ, Pernice E, Perry TS, Person S, Petersen D, Petersen T, Peterson DL, Peterson EB, Peterson JE, Peterson JL, Peterson K, Peterson RR, Petrasso RD, Philippe F, Phillion D, Phipps TJ, Piceno E, Pickworth L, Ping Y, Pino J, Piston K, Plummer R, Pollack GD, Pollaine SM, Pollock BB, Ponce D, Ponce J, Pontelandolfo J, Porter JL, Post J, Poujade O, Powell C, Powell H, Power G, Pozulp M, Prantil M, Prasad M, Pratuch S, Price S, Primdahl K, Prisbrey S, Procassini R, Pruyne A, Pudliner B, Qiu SR, Quan K, Quinn M, Quintenz J, Radha PB, Rainer F, Ralph JE, Raman KS, Raman R, Rambo PW, Rana S, Randewich A, Rardin D, Ratledge M, Ravelo N, Ravizza F, Rayce M, Raymond A, Raymond B, Reed B, Reed C, Regan S, Reichelt B, Reis V, Reisdorf S, Rekow V, Remington BA, Rendon A, Requieron W, Rever M, Reynolds H, Reynolds J, Rhodes J, Rhodes M, Richardson MC, Rice B, Rice NG, Rieben R, Rigatti A, Riggs S, Rinderknecht HG, Ring K, Riordan B, Riquier R, Rivers C, Roberts D, Roberts V, Robertson G, Robey HF, Robles J, Rocha P, Rochau G, Rodriguez J, Rodriguez S, Rosen MD, Rosenberg M, Ross G, Ross JS, Ross P, Rouse J, Rovang D, Rubenchik AM, Rubery MS, Ruiz CL, Rushford M, Russ B, Rygg JR, Ryujin BS, Sacks RA, Sacks RF, Saito K, Salmon T, Salmonson JD, Sanchez J, Samuelson S, Sanchez M, Sangster C, Saroyan A, Sater J, Satsangi A, Sauers S, Saunders R, Sauppe JP, Sawicki R, Sayre D, Scanlan M, Schaffers K, Schappert GT, Schiaffino S, Schlossberg DJ, Schmidt DW, Schmit PF, Smidt JM, Schneider DHG, Schneider MB, Schneider R, Schoff M, Schollmeier M, Schroeder CR, Schrauth SE, Scott HA, Scott I, Scott JM, Scott RHH, Scullard CR, Sedillo T, Seguin FH, Seka W, Senecal J, Sepke SM, Seppala L, Sequoia K, Severyn J, Sevier JM, Sewell N, Seznec S, Shah RC, Shamlian J, Shaughnessy D, Shaw M, Shaw R, Shearer C, Shelton R, Shen N, Sherlock MW, Shestakov AI, Shi EL, Shin SJ, Shingleton N, Shmayda W, Shor M, Shoup M, Shuldberg C, Siegel L, Silva FJ, Simakov AN, Sims BT, Sinars D, Singh P, Sio H, Skulina K, Skupsky S, Slutz S, Sluyter M, Smalyuk VA, Smauley D, Smeltser RM, Smith C, Smith I, Smith J, Smith L, Smith R, Smith R, Schölmerich M, Sohn R, Sommer S, Sorce C, Sorem M, Soures JM, Spaeth ML, Spears BK, Speas S, Speck D, Speck R, Spears J, Spinka T, Springer PT, Stadermann M, Stahl B, Stahoviak J, Stanley J, Stanton LG, Steele R, Steele W, Steinman D, Stemke R, Stephens R, Sterbenz S, Sterne P, Stevens D, Stevers J, Still CH, Stoeckl C, Stoeffl W, Stolken JS, Stolz C, Storm E, Stone G, Stoupin S, Stout E, Stowers I, Strauser R, Streckart H, Streit J, Strozzi DJ, Stutz J, Summers L, Suratwala T, Sutcliffe G, Suter LJ, Sutton SB, Svidzinski V, Swadling G, Sweet W, Szoke A, Tabak M, Takagi M, Tambazidis A, Tang V, Taranowski M, Taylor LA, Telford S, Theobald W, Thi M, Thomas A, Thomas CA, Thomas I, Thomas R, Thompson IJ, Thongstisubskul A, Thorsness CB, Tietbohl G, Tipton RE, Tobin M, Tomlin N, Tommasini R, Toreja AJ, Torres J, Town RPJ, Townsend S, Trenholme J, Trivelpiece A, Trosseille C, Truax H, Trummer D, Trummer S, Truong T, Tubbs D, Tubman ER, Tunnell T, Turnbull D, Turner RE, Ulitsky M, Upadhye R, Vaher JL, VanArsdall P, VanBlarcom D, Vandenboomgaerde M, VanQuinlan R, Van Wonterghem BM, Varnum WS, Velikovich AL, Vella A, Verdon CP, Vermillion B, Vernon S, Vesey R, Vickers J, Vignes RM, Visosky M, Vocke J, Volegov PL, Vonhof S, Von Rotz R, Vu HX, Vu M, Wall D, Wall J, Wallace R, Wallin B, Walmer D, Walsh CA, Walters CF, Waltz C, Wan A, Wang A, Wang Y, Wark JS, Warner BE, Watson J, Watt RG, Watts P, Weaver J, Weaver RP, Weaver S, Weber CR, Weber P, Weber SV, Wegner P, Welday B, Welser-Sherrill L, Weiss K, Wharton KB, Wheeler GF, Whistler W, White RK, Whitley HD, Whitman P, Wickett ME, Widmann K, Widmayer C, Wiedwald J, Wilcox R, Wilcox S, Wild C, Wilde BH, Wilde CH, Wilhelmsen K, Wilke MD, Wilkens H, Wilkins P, Wilks SC, Williams EA, Williams GJ, Williams W, Williams WH, Wilson DC, Wilson B, Wilson E, Wilson R, Winters S, Wisoff PJ, Wittman M, Wolfe J, Wong A, Wong KW, Wong L, Wong N, Wood R, Woodhouse D, Woodruff J, Woods DT, Woods S, Woodworth BN, Wooten E, Wootton A, Work K, Workman JB, Wright J, Wu M, Wuest C, Wysocki FJ, Xu H, Yamaguchi M, Yang B, Yang ST, Yatabe J, Yeamans CB, Yee BC, Yi SA, Yin L, Young B, Young CS, Young CV, Young P, Youngblood K, Yu J, Zacharias R, Zagaris G, Zaitseva N, Zaka F, Ze F, Zeiger B, Zika M, Zimmerman GB, Zobrist T, Zuegel JD, and Zylstra AB

Abstract

On December 5, 2022, an indirect drive fusion implosion on the National Ignition Facility (NIF) achieved a target gain G_{target} of 1.5. This is the first laboratory demonstration of exceeding "scientific breakeven" (or G_{target}>1) where 2.05 MJ of 351 nm laser light produced 3.1 MJ of total fusion yield, a result which significantly exceeds the Lawson criterion for fusion ignition as reported in a previous NIF implosion [H. Abu-Shawareb et al. (Indirect Drive ICF Collaboration), Phys. Rev. Lett. 129, 075001 (2022)PRLTAO0031-900710.1103/PhysRevLett.129.075001]. This achievement is the culmination of more than five decades of research and gives proof that laboratory fusion, based on fundamental physics principles, is possible. This Letter reports on the target, laser, design, and experimental advancements that led to this result.

Published
2024
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4. Examining the effects of soil entrainment during nuclear cloud rise on fallout predictions using a multiscale atmospheric modeling framework.

Author

Lundquist KA, Arthur RS, Neuscamman S, Morris JP, Scullard CR, Cook AW, Wimer NG, Goldstein P, Spriggs GD, Glascoe LG, and Nasstrom JS

Subjects
Models, Theoretical, Weather, Aerosols analysis, Radioactive Fallout analysis, Radiation Monitoring methods
Abstract

Current operational models for nuclear cloud rise over land were developed and validated using observations from shallow-buried or surface detonations, where lofted soil quickly mixed with fission products from the detonation. These models poorly predict fallout from elevated detonations near the fallout-free height of burst (FFHOB), where interactions with the ground are limited and the mixing of fission products and lofted soil is incomplete. Fallout-free is a misnomer at this HOB, as fallout was observed in these cases, but was below the levels of concern, especially off-grounds of the nuclear test site. To correctly characterize and model fallout from detonations near the FFHOB, models must be developed which can capture the stratified nature of the particle and activity-size distributions within the cloud. Previously, it was shown that the Weather Research and Forecasting (WRF) model can accurately simulate nuclear cloud rise for airbursts with little to no ground interactions (Arthur et al., 2021). That work is expanded here by (1) using a radiation-hydrodynamics code to improve the fireball initialization in WRF, (2) further developing an aerosol package from WRF-Chem to simulate lofted soil, and (3) combining the WRF cloud rise simulations with the operational models used at the National Atmospheric Release Advisory Center (NARAC) for fallout modeling. Using this combination of codes, the Upshot-Knothole Grable detonation, which was just below the FFHOB, is simulated from seconds after detonation through cloud rise and fallout, and results are compared to historical test data. The results show improved prediction of dose rate and highlight the need to correctly characterize the entrainment of material into the cloud and the subsequent mixing of fission products with entrained material., Competing Interests: Declaration of Competing Interest The authors declare the following financial interests/personal relationships which may be considered as potential competing interests: Katherine Lundquist reports financial support was provided by National Nuclear Security Administration Office of Nuclear Incident Response. Joseph Morris reports was provided by National Nuclear Security Administration Office of Defense Nuclear Nonproliferation. Stephanie Neuscamman reports was provided by National Nuclear Security Administration Office of Nuclear Incident Response. Robert Arthur reports was provided by National Nuclear Security Administration Office of Nuclear Incident Response., (Copyright © 2023 Elsevier Ltd. All rights reserved.)

Published
2023
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5. Analytic expressions for electron-ion temperature equilibration rates from the Lenard-Balescu equation.

Author

Scullard CR, Serna S, Benedict LX, Ellison CL, and Graziani FR

Abstract

In this work, we elucidate the mathematical structure of the integral that arises when computing the electron-ion temperature equilibration time for a homogeneous weakly coupled plasma from the Lenard-Balescu equation. With some minor approximations, we derive an analytic formula, requiring no input Coulomb logarithm, for the equilibration rate that is valid for moderate electron-ion temperature ratios and arbitrary electron degeneracy. For large temperature ratios, we derive the necessary correction to account for the coupled-mode effect, which can be evaluated very efficiently using ordinary Gaussian quadrature.

Published
2018
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6. Molecular dynamics studies of electron-ion temperature equilibration in hydrogen plasmas within the coupled-mode regime.

Author

Benedict LX, Surh MP, Stanton LG, Scullard CR, Correa AA, Castor JI, Graziani FR, Collins LA, Čertík O, Kress JD, and Murillo MS

Abstract

We use classical molecular dynamics (MD) to study electron-ion temperature equilibration in two-component plasmas in regimes for which the presence of coupled collective modes has been predicted to substantively reduce the equilibration rate. Guided by previous kinetic theory work, we examine hydrogen plasmas at a density of n=10^{26}cm^{-3}, T_{i}=10^{5}K, and 10^{7}K

Published
2017
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7. Density-functional calculations of transport properties in the nondegenerate limit and the role of electron-electron scattering.

Author

Desjarlais MP, Scullard CR, Benedict LX, Whitley HD, and Redmer R

Abstract

We compute electrical and thermal conductivities of hydrogen plasmas in the nondegenerate regime using Kohn-Sham density functional theory (DFT) and an application of the Kubo-Greenwood response formula, and demonstrate that for thermal conductivity, the mean-field treatment of the electron-electron (e-e) interaction therein is insufficient to reproduce the weak-coupling limit obtained by plasma kinetic theories. An explicit e-e scattering correction to the DFT is posited by appealing to Matthiessen's Rule and the results of our computations of conductivities with the quantum Lenard-Balescu (QLB) equation. Further motivation of our correction is provided by an argument arising from the Zubarev quantum kinetic theory approach. Significant emphasis is placed on our efforts to produce properly converged results for plasma transport using Kohn-Sham DFT, so that an accurate assessment of the importance and efficacy of our e-e scattering corrections to the thermal conductivity can be made.

Published
2017
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8. Molecular dynamics simulations and generalized Lenard-Balescu calculations of electron-ion temperature equilibration in plasmas.

Author

Benedict LX, Surh MP, Castor JI, Khairallah SA, Whitley HD, Richards DF, Glosli JN, Murillo MS, Scullard CR, Grabowski PE, Michta D, and Graziani FR

Abstract

We study the problem of electron-ion temperature equilibration in plasmas. We consider pure H at various densities and temperatures and Ar-doped H at temperatures high enough so that the Ar is fully ionized. Two theoretical approaches are used: classical molecular dynamics (MD) with statistical two-body potentials and a generalized Lenard-Balescu (GLB) theory capable of treating multicomponent weakly coupled plasmas. The GLB is used in two modes: (1) with the quantum dielectric response in the random-phase approximation (RPA) together with the pure Coulomb interaction and (2) with the classical (ℏ→0) dielectric response (both with and without local-field corrections) together with the statistical potentials. We find that the MD results are described very well by classical GLB including the statistical potentials and without local-field corrections (RPA only); worse agreement is found when static local-field effects are included, in contradiction to the classical pure-Coulomb case with like charges. The results of the various approaches are all in excellent agreement with pure-Coulomb quantum GLB when the temperature is high enough. In addition, we show that classical calculations with statistical potentials derived from the exact quantum two-body density matrix produce results in far better agreement with pure-Coulomb quantum GLB than classical calculations performed with older existing statistical potentials.

Published
2012
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9. Percolation critical polynomial as a graph invariant.

Author

Scullard CR

Abstract

Every lattice for which the bond percolation critical probability can be found exactly possesses a critical polynomial, with the root in [0,1] providing the threshold. Recent work has demonstrated that this polynomial may be generalized through a definition that can be applied on any periodic lattice. The polynomial depends on the lattice and on its decomposition into identical finite subgraphs, but once these are specified, the polynomial is essentially unique. On lattices for which the exact percolation threshold is unknown, the polynomials provide approximations for the critical probability with the estimates appearing to converge to the exact answer with increasing subgraph size. In this paper, I show how this generalized critical polynomial can be viewed as a graph invariant, similar to the Tutte polynomial. In particular, the critical polynomial is computed on a finite graph and may be found using the recursive deletion-contraction algorithm. This allows calculation on a computer, and I present such results for the kagome lattice using subgraphs of up to 36 bonds. For one of these, I find the prediction p(c)=0.52440572..., which differs from the numerical value, p(c)=0.52440503(5), by only 6.9×10(-7).

Published
2012
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10. Critical surfaces for general bond percolation problems.

Author

Scullard CR and Ziff RM

Abstract

We present a general method for predicting bond percolation thresholds and critical surfaces for a broad class of two-dimensional periodic lattices, reproducing many known exact results and providing excellent approximations for several unsolved lattices. For the checkerboard and inhomogeneous bow-tie lattices, the method yields predictions that agree with numerical measurements to more than six figures, and are possibly exact.

Published
2008
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11. Predictions of bond percolation thresholds for the kagomé and Archimedean (3, 12(2)) lattices.

Author

Scullard CR and Ziff RM

Abstract

Here we show how the recent exact determination of the bond percolation threshold for the martini lattice can be used to provide approximations to the unsolved kagomé and (3, 12(2)) lattices. We present two different methods: one which provides an approximation to the inhomogeneous kagomé and bond problems, and the other which gives estimates of for the homogeneous kagomé (0.524 408 8...) and (3, 12(2)) (0.740 421 2...) problems that, respectively, agree with numerical results to five and six significant figures.

Published
2006
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12. Exact site percolation thresholds using a site-to-bond transformation and the star-triangle transformation.

Author

Scullard CR

Abstract

I construct a two-dimensional lattice on which the inhomogeneous site percolation threshold is exactly calculable and use this result to find two more lattices on which the site thresholds can be determined. The primary lattice studied here, the "martini lattice," is a hexagonal lattice with every second site transformed into a triangle. The site threshold of this lattice is found to be 0.764826..., i.e., the solution to p4 - 3p3 + 1 = 0, while the others have (square root 5 - 1)/2 (the inverse of the golden ratio) and 1/square root 2. This last solution suggests a possible approach to establishing the bound for the hexagonal site threshold, pc < 1/square root 2. To derive these results, I solve a correlated bond problem on the hexagonal lattice by use of the star-triangle transformation and then, by a particular choice of correlations derived from a site-to-bond transformation, solve the site problem on the martini lattice.

Published
2006
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