Relaxation, the Boltzmann-Jeans Conjecture and Chaos

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Slow (logarithmic) relaxation from a highly excited state is studied in a Hamiltonian system with many degrees of freedom. The relaxation time is shown to increase as the exponential of the square root of the energy of excitation, in agreement with the Boltzmann-Jeans conjecture, while it is found to be inversely proportional to residual Kolmogorov-Sinai entropy, introduced in this Letter. The increase of the thermodynamic entropy through this relaxation process is found to be proportional to this quantity.
4 pages, 4 figures

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Condensed Matter

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http://salesiana.dossiersoluciones.com/handle/123456789/19058

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0203430
 http://arxiv.org/abs/cond-mat/0203430

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arXiv