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Relaxation, the Boltzmann-Jeans conjecture, and chaos

Relaxation, the Boltzmann-Jeans conjecture, and chaos

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 …