Ubiquity of metastable-to-stable crossover in weakly chaotic dynamical systems

Fulvio Baldovin, Luis G Moyano, Ana P Majtey, Alberto Robledo and Constantino Tsallis

Physica A: Statistical Mechanics and its Applications, 2004, vol. 340, issue 1, 205-218

Abstract: We present a comparative study of several dynamical systems of increasing complexity, namely, the logistic map with additive noise, one, two and many globally coupled standard maps, and the Hamiltonian mean field model (i.e., the classical inertial infinitely ranged ferromagnetically coupled XY spin model). We emphasize the appearance, in all of these systems, of metastable states and their ultimate crossover to the equilibrium state. We comment on the underlying mechanisms responsible for these phenomena (weak chaos) and compare common characteristics. We point out that this ubiquitous behavior appears to be associated to the features of the nonextensive generalization of the Boltzmann–Gibbs statistical mechanics.

Keywords: Nonlinear dynamics; Statistical mechanics; Metastable (quasistationary) states (search for similar items in EconPapers)
Date: 2004
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:340:y:2004:i:1:p:205-218

DOI: 10.1016/j.physa.2004.04.009

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