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...
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2000 |
| Country: | España |
| Institution: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repository: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/18735 |
| Online Access: | https://hdl.handle.net/2445/18735 |
| Access Level: | Open access |
| Keyword: | 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) |
| Summary: | 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. |
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