Irreversibility in chaotic region of a conservative nonlinear system with a few degrees of freedom

Autor:	K. Azumai, M. Nakamura, N. Mishima, T. Y. Petrosky
Rok vydání:	1986
Předmět:	Momentum Physics Nonlinear system Distribution function Classical mechanics Thermodynamic equilibrium Degrees of freedom (physics and chemistry) Fokker–Planck equation Heuristic argument Dynamical system
Zdroj:	Il Nuovo Cimento B Series 11. 94:37-53
ISSN:	1826-9877
DOI:	10.1007/bf02721576
Popis:	The motion of the dynamical system of two pendula coupled with each other («double-pendulum model») is investigated in the vicinity of a separatrix by using the Liouville equation. The irreversible kinetic equation of the Fokker-Planck type for the momentum distribution function is obtained in the «weak-coupling» limit. It is shown that the system monotonically approaches the «microcanonical» equilibrium state and further the diffusion coefficient for this process is related to that obtained by Chirikov’s heuristic argument.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d6cfee16b447e9e5d4356c71051576bb https://doi.org/10.1007/bf02721576 Zobrazit plný text záznamu Full text from SpringerLink