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The Random Fuse Network as a Dipolar Magnet

Authors :: Rava da Silveira
Marc Barthelemy
Henri Orland
Département de Physique Théorique et Appliquée (DPTA)
DAM Île-de-France (DAM/DIF)
Direction des Applications Militaires (DAM)
Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Direction des Applications Militaires (DAM)
Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)
Department of Physics [Harvard]
Harvard University [Cambridge]
Institut de Physique Théorique - UMR CNRS 3681 (IPHT)
Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)
Harvard University
Source :: EPL-Europhysics Letters, EPL-Europhysics Letters, European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing, 2002, 57 (6), pp.831-837. ⟨10.1209/epl/i2002-00586-5⟩, EPL-Europhysics Letters, 2002, 57 (6), pp.831-837. ⟨10.1209/epl/i2002-00586-5⟩
Publication Year :: 2002
Publisher :: HAL CCSD, 2002.
Abstract: We introduce an approximate mapping between the random fuse network (RFN) and a random field dipolar Ising model (RFDIM). The state of the network damage is associated with a metastable spin configuration. A mean-field treatment, numerical solutions, and heuristic arguments support the broad validity of the approximation and yield a generic phase diagram. At low disorder, the growth of a single unstable `crack' leads to an abrupt global failure. Beyond a critical disorder, the conducting network sustains significant damage before the coalescence of cracks results in global failure.<br />Comment: 6 pages, 2 figures

Subjects :: Physics
Coalescence (physics)
Random field
Statistical Mechanics (cond-mat.stat-mech)
General Physics and Astronomy
FOS: Physical sciences
Disordered Systems and Neural Networks (cond-mat.dis-nn)
Condensed Matter - Disordered Systems and Neural Networks
01 natural sciences
PACS. 62.20.Mk – Fatigue, brittleness, fracture, and cracks.PACS. 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions.PACS. 64.60.Cn – Order-disorder transformations
statistical mechanics of model systems
010305 fluids & plasmas
Dipole
Magnet
Metastability
0103 physical sciences
Ising model
Statistical physics
[PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech]
010306 general physics
Condensed Matter - Statistical Mechanics
Phase diagram

Details

Language :: English
ISSN :: 02955075 and 12864854
Database :: OpenAIRE
Journal :: EPL-Europhysics Letters, EPL-Europhysics Letters, European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing, 2002, 57 (6), pp.831-837. ⟨10.1209/epl/i2002-00586-5⟩, EPL-Europhysics Letters, 2002, 57 (6), pp.831-837. ⟨10.1209/epl/i2002-00586-5⟩
Accession number :: edsair.doi.dedup.....aa156f388f4630d95fded0f431ac5242
Full Text :: https://doi.org/10.1209/epl/i2002-00586-5⟩