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2000

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/18735

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

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http://dx.doi.org/10.1103/PhysRevE.62.7470

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 ¿ 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 ¿. The corresponding exponents are compared.

Subject

Física estadística, Termodinàmica, Sistemes dinàmics diferenciables, Equacions d'estat, Transformacions de fase (Física estadística)

Subject (English)

Statistical physics, Thermodynamics, Differentiable dynamical systems, Equations of state, Phase transformations (Statistical physics)

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Articles publicats en revistes (Física Quàntica i Astrofísica)

Citation

FRONTERA BECCARIA, Carlos and VIVES I SANTA-EULÀLIA, Eduard. Studying Avalanches in the ground-state of the two-dimensional random field Ising model driven by an external field. Physical Review E. 2000. Vol. 62, num. 5, pags. 7470-7473. ISSN 1539-3755. [consulted: 10 of August of 2026]. Available at: https://hdl.handle.net/2445/18735

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