2002/03/21 by Naoko Nakagawa, Nakagawa, Naoko, Kunihiko Kaneko +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Condensed Matter (cond-mat) #FOS: Physical sciences #Spectroscopy and Quantum Chemical Studies #cond-mat #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.cond-mat/0203430
4 pages, 4 figures
arxiv created 2002/03/21 · openalex publication_date 2002/03/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.