Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-02-27
Phys. Lett. A {\bf 320}, 254 (2004)
Physics
Condensed Matter
Statistical Mechanics
Latex, 11 pages, 4 figures
Scientific paper
We address a simple connection between results of Hamiltonian nonlinear dynamical theory and thermostatistics. Using a properly defined dynamical temperature in low-dimensional symplectic maps, we display and characterize long-standing quasi-stationary states that eventually cross over to a Boltzmann-Gibbs-like regime. As time evolves, the geometrical properties (e.g., fractal dimension) of the phase space change sensibly, and the duration of the anomalous regime diverges with decreasing chaoticity. The scenario that emerges is consistent with the nonextensive statistical mechanics one.
Baldovin Fulvio
Brigatti Edgardo
Tsallis Constantino
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