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Hysteresis in theT=0random-field Ising model: Beyond metastable dynamics

2009/03/31 by F. Salvat-Pujol, Francesc Salvat–Pujol, Eduard Vives +3
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #Condensed matter physics #Dissipation #Field (mathematics) #Gaussian #Geometry #Hysteresis #Ising model #Materials science #Mathematics #Metastability #Phase transition #Physics #Quantum mechanics #Scaling #Statistical physics #Theoretical and Computational Physics #Thermodynamics #cond-mat.dis-nn

paper · pdf · doi:10.1103/physreve.79.061116

published as Phys. Rev. E 79, 061116 (2009) · 8 pages, 11 figures

openalex publication_date 2009/06/19 · arxiv created 2009/07/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present a numerical study of the zero-temperature response of the Gaussian random-field Ising model to a slowly varying external field, allowing the system to be trapped in microscopic configurations that are not fully metastable. This modification of the standard single-spin-flip dynamics results in an increase in dissipation (hysteresis) somewhat similar to that observed with a finite driving rate. We then study the distribution of avalanches along the hysteresis loop and perform a finite-size scaling analysis that shows good evidence that the critical exponents associated to the disorder-induced phase transition are not modified.

Citations