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arXiv:cond-mat/9905188 · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

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

Carlos Frontera, Eduard Vives

Published Feb 1, 1999• 34 citations
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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 ${\ensuremath{\sigma}}_{c}=0.64\ifmmode\pm\else\textpm\fi{}0.08.$ Results are compared with existing theories and with the study of metastable avalanches in the same model.

DOI
10.1103/physreve.59.r1295

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Intensive numerical studies of exact ground states of the two-dimensional ferromagnetic random field Ising model at T=0,T=0,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 \ensuremathσc=0.64\ifmmode±\else\textpm\fi0.08.{\ensuremath{\sigma}}_{c}=0.64\ifmmode\pm\else\textpm\fi{}0.08.\ensuremathσc​=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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