Exponential law for the equipartition times among translational and vibrational degrees of freedom

作者: Giancarlo Benettin , Luigi Galgani , Antonio Giorgilli

DOI: 10.1016/0375-9601(87)90258-1

关键词:

摘要: Abstract Boltzmann and Jeans discussed the possibility of explaining classically “freezing” high frequency degrees freedom, in spite its apparent conflict with equipartition principle. Their proposal is based on possible existence extremely long time scales for energy sharing such freedom. This here supported by numerical simulation a simple model diatomic gas. In particular, some evidence produced that conjecture Jeans, exponential dependence frequency, correct.

参考文章(10)
Yu G Borisovich, V G Zvyagin, Yu I Sapronov, NON-LINEAR FREDHOLM MAPS AND THE LERAY-SCHAUDER THEORY Russian Mathematical Surveys. ,vol. 32, pp. 1- 54 ,(1977) , 10.1070/RM1977V032N04ABEH001638
Peter Grassberger, Holger Kantz, Universal scaling of long-time tails in Hamiltonian systems? Physics Letters A. ,vol. 113, pp. 167- 171 ,(1985) , 10.1016/0375-9601(85)90131-8
Antonio Giorgilli, Luigi Galgani, Rigorous estimates for the series expansions of Hamiltonian perturbation theory Celestial Mechanics and Dynamical Astronomy. ,vol. 37, pp. 95- 112 ,(1985) , 10.1007/BF01230921
J.H. Jeans, XI. On the partition of energy between matter and Æther Philosophical Magazine Series 1. ,vol. 10, pp. 91- 98 ,(1905) , 10.1080/14786440509463348
Giancarlo Benettin, Luigi Galgani, Antonio Giorgilli, A PROOF OF NEKHOROSHEV'S THEOREM FOR THE STABILITY TIMES IN NEARLY INTEGRABLE HAMILTONIAN SYSTEMS Celestial Mechanics and Dynamical Astronomy. ,vol. 37, pp. 1- 25 ,(1985) , 10.1007/BF01230338
LUDWIG BOLTZMANN, On Certain Questions of the Theory of Gases Nature. ,vol. 51, pp. 413- 415 ,(1895) , 10.1038/051413B0
Giancarlo Benettin, Danilo Casati, Luigi Galgani, Antonio Giorgilli, Luisella Sironi, Apparent fractal dimensions in conservative dynamical systems Physics Letters A. ,vol. 118, pp. 325- 330 ,(1986) , 10.1016/0375-9601(86)90318-X
Giancarlo Benettin, Luigi Galgani, Antonio Giorgilli, Boltzmann's ultraviolet cutoff and Nekhoroshev's theorem on Arnold diffusion Nature. ,vol. 311, pp. 444- 446 ,(1984) , 10.1038/311444A0
J.H. Jeans, XXXV. On the vibrations set up in molecules by collisions Philosophical Magazine Series 1. ,vol. 6, pp. 279- 286 ,(1903) , 10.1080/14786440309463017
J. H. Jeans, On the Partition of Energy between Matter and Aether Philosophical Magazine. ,vol. 10, pp. 91- 98 ,(1905)