Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/18887
Title: Dynamical properties of the Zhang model of self-organized criticality
Author: Giacometti, Achille
Díaz Guilera, Albert
Keywords: 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)
Issue Date: 1998
Publisher: The American Physical Society
Abstract: 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.
Note: Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.58.247
It is part of: Physical Review e, 1998, vol. 58, núm. 1, p. 247-253
URI: http://hdl.handle.net/2445/18887
ISSN: 1063-651X
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

Files in This Item:
File Description SizeFormat 
143496.pdf161.7 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.