Dynamical properties of the Zhang model of self-organized criticality
Critical exponents of the infinitely slowly driven Zhang model of self-organized criticality are computed for d=2 and 3, with particular emphasis devoted to the various roughening exponents. Besides confirming recent estimates of some exponents, new quantities are monitored, and their critical expon...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1998 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/18887 |
| Acceso en línea: | https://hdl.handle.net/2445/18887 |
| Access Level: | acceso abierto |
| Palabra clave: | Física estadística Termodinàmica Sistemes no lineals Propietats magnètiques Equacions d'estat Regla de les fases i equilibri Transformacions de fase (Física estadística) Statistical physics Thermodynamics Nonlinear systems Magnetic properties Equations of state Phase rule and equilibrium Phase transformations (Statistical physics) |
| Sumario: | Critical exponents of the infinitely slowly driven Zhang model of self-organized criticality are computed for d=2 and 3, with particular emphasis devoted to the various roughening exponents. Besides confirming recent estimates of some exponents, new quantities are monitored, and their critical exponents computed. Among other results, it is shown that the three-dimensional exponents do not coincide with the Bak-Tang-Wiesenfeld [Phys. Rev. Lett. 59, 381 (1987); Phys. Rev. A 38, 364 (1988)] (Abelian) model, and that the dynamical exponent as computed from the correlation length and from the roughness of the energy profile do not necessarily coincide, as is usually implicitly assumed. An explanation for this is provided. The possibility of comparing these results with those obtained from renormalization group arguments is also briefly addressed. |
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