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American Physical Society, Physical review E: Statistical physics, plasmas, fluids, and related interdisciplinary topics, 5(62), p. 7470-7473, 2000

DOI: 10.1103/physreve.62.7470

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Studying Avalanches in the ground-state of the two-dimensional random field Ising model driven by an external field

Journal article published in 2000 by Carlos Frontera Beccaria ORCID, Eduard Vives i. Santa-Eulàlia ORCID
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This paper is available in a repository.

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Abstract

We study the exact ground state of the two-dimensional random-field Ising model as a function of both the external applied field B and the standard deviation sigma of the Gaussian random-field distribution. The equilibrium evolution of the magnetization consists in a sequence of discrete jumps. These are very similar to the avalanche behavior found in the out-of-equilibrium version of the same model with local relaxation dynamics. We compare the statistical distributions of magnetization jumps and find that both exhibit power-law behavior for the same value of sigma. The corresponding exponents are compared.