Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-12-16
Physica A {\bf 340}, 205 (2004)
Physics
Condensed Matter
Statistical Mechanics
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.
Baldovin Fulvio
Majtey Ana P.
Moyano Luis G.
Robledo Alberto
Tsallis Constantino
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