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Fluctuations and criticality in the random-field Ising model.
- Source :
-
Physical Review E: Statistical, Nonlinear & Soft Matter Physics . Mar2013, Vol. 87 Issue 3-A, p1-8. 8p. - Publication Year :
- 2013
-
Abstract
- We investigate the critical properties of the d = 3 random-field Ising model with a Gaussian field distribution at zero temperature. By implementing suitable graph-theoretical algorithms, we perform a large-scale numerical simulation of the model for a vast range of values of the disorder strength h and system sizes V = L x L x L, with L ≤ 156. Using the sample-to-sample fluctuations of various quantities and proper finite-size scaling techniques we estimate with high accuracy the critical disorder strength hc and the correlation length exponent v. Additional simulations in the area of the estimated critical-field strength and relevant scaling analysis of the bond energy suggest bounds for the specific heat critical exponent a and the violation of the hyperscaling exponent π. Finally, a data collapse analysis of the order parameter and disconnected susceptibility provides accurate estimates for the critical exponent ratios β/v and γ/v, respectively. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15393755
- Volume :
- 87
- Issue :
- 3-A
- Database :
- Academic Search Index
- Journal :
- Physical Review E: Statistical, Nonlinear & Soft Matter Physics
- Publication Type :
- Academic Journal
- Accession number :
- 87041794
- Full Text :
- https://doi.org/10.1103/PhysRevE.87.032119