Ubiquity of metastable-to-stable crossover in weakly chaotic dynamical systems
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
Cite
@article{arxiv.cond-mat/0312407,
title = {Ubiquity of metastable-to-stable crossover in weakly chaotic dynamical systems},
author = {Fulvio Baldovin and Luis G. Moyano and Ana P. Majtey and Alberto Robledo and Constantino Tsallis},
journal= {arXiv preprint arXiv:cond-mat/0312407},
year = {2009}
}
Comments
Communication at next2003, Second Sardinian International Conference on News and Expectations in Thermostatistics, Villasimius (Cagliari) Italy, 21st-28th September 2003. Submitted to Physica A. Elsevier Latex, 17 pages, 8 figures