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Studying Avalanches in the ground-state of the two-dimensional random field Ising model driven by an external field
Frontera Beccaria, Carlos; Vives i Santa-Eulàlia, Eduard
Universitat de Barcelona
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.
2011-07-26
Física estadística
Termodinàmica
Sistemes dinàmics diferenciables
Equacions d'estat
Transformacions de fase (Física estadística)
Statistical physics
Thermodynamics
Differentiable dynamical systems
Equations of state
Phase transformations (Statistical physics)
(c) The American Physical Society, 2000
Article
The American Physical Society
         

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