Relaxation, the Boltzmann-Jeans conjecture, and chaos - art. no. 055205

Citation
N. Nakagawa et K. Kaneko, Relaxation, the Boltzmann-Jeans conjecture, and chaos - art. no. 055205, PHYS REV E, 6405(5), 2001, pp. 5205
Citations number
16
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063-651X → ACNP
Volume
6405
Issue
5
Year of publication
2001
Part
2
Database
ISI
SICI code
1063-651X(200111)6405:5<5205:RTBCAC>2.0.ZU;2-0
Abstract
Slow (logarithmic) relaxation from a highly excited state is studied in a H amiltonian system with many degrees of freedom. The relaxation time is show n to increase as the exponential of the square root of the energy of excita tion, in agreement with the Boltzmann-Jeans conjecture. while it is found t o be inversely proportional to residual Kolmogorov-Sinai entropy, introduce d in this Rapid Communication. The increase of the thermodynamic entropy th rough this relaxation process is found to be proportional to this quantity.