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Non-equilibrium of a general stochastic system of coupled oscillators: entropy production rate and rotation numbers

Published online by Cambridge University Press:  04 August 2005

MIN QIAN  and
FUXI ZHANG
MIN QIAN
Affiliation:
LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, People's Republic of China (e-mail: zhangfxi@math.pku.edu.cn)
FUXI ZHANG
Affiliation:
LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, People's Republic of China (e-mail: zhangfxi@math.pku.edu.cn)
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Abstract

In this paper, we address the positive recurrent diffusion process obtained by winding the solutions of a general stochastic system of coupled oscillators along several directions. Two kinds of quantities—the entropy production rate and the rotation numbers, which describe the non-equilibrium of the system from totally different points of view—are calculated and related through an explicit formula.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 25 , Issue 5 , October 2005 , pp. 1633 - 1641
Copyright
2005 Cambridge University Press

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