Numerical signs for a transition in the two-dimensional random field Ising model atT=0

1999/02/01 by Carlos Frontera, Eduard Vives · 2 citations
Mathematics · Physics and Astronomy · #Condensed matter physics #Discrete mathematics #Ferromagnetism #Gaussian #Geometry #Ising model #Mathematical physics #Mathematics #Metastability #Opinion Dynamics and Social Influence #Physics #Quantum mechanics #Scaling #Sigma #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1103/physreve.59.r1295

published as Phys. Rev. E 59 (1999) R1295-1298 · 14 pages, 5 eps figures

openalex publication_date 1999/02/01 · arxiv created 1999/05/13 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Intensive numerical studies of exact ground states of the two-dimensional ferromagnetic random field Ising model at T=0, with a Gaussian distribution of fields, are presented. Standard finite size scaling analysis of the data suggests the existence of a transition at \ensuremathσ_c=0.64\ifmmode±\else\textpm\fi0.08. Results are compared with existing theories and with the study of metastable avalanches in the same model.

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