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Published on: March 30, 2017
Relaxation, the Boltzmann-Jeans conjecture, and chaos
1Department of Mathematical Sciences, Faculty of Science, Ibaraki University, Mito, Ibaraki 310-8512, Japan.
Abstract:
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 Rapid Communication. The increase of the thermodynamic entropy through this relaxation process is found to be proportional to this quantity.
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