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

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 ar...

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Detalhes bibliográficos
Autores: Frontera Beccaria, Carlos, Vives i Santa-Eulàlia, Eduard
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2000
País:España
Recursos:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/18735
Acesso em linha:https://hdl.handle.net/2445/18735
Access Level:acceso abierto
Palavra-chave: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)
Descrição
Resumo: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.