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

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Communication at next2003, Second Sardinian International Conference on News and Expectations in Thermostatistics, Villasimius

Scientific paper

10.1016/j.physa.2004.04.009

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.

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