Time dependence of entropy flux and entropy production of a dissipative dynamical system driven by non-Gaussian noise

Yong Feng Guo; Wei Xu; Dong Xi Li; Wen Xian Xie

doi:10.1088/0253-6102/49/6/44

Time dependence of entropy flux and entropy production of a dissipative dynamical system driven by non-Gaussian noise

Yong Feng Guo, Wei Xu, Dong Xi Li, Wen Xian Xie

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

A stochastic dissipative dynamical system driven by non-Gaussian noise is investigated. A general approximate Fokker-Planck equation of the system is derived through a path-integral approach. Based on the definition of Shannon's information entropy, the exact time dependence of entropy flux and entropy production of the system is calculated both in the absence and in the presence of non-equilibrium constraint. The present calculation can be used to interpret the interplay of the dissipative constant and non-Gaussian noise on the entropy flux and entropy production.

Original language	English
Pages (from-to)	1561-1566
Number of pages	6
Journal	Communications in Theoretical Physics
Volume	49
Issue number	6
DOIs	https://doi.org/10.1088/0253-6102/49/6/44
State	Published - 15 Jun 2008

Keywords

Entropy flux and entropy production
Fokker-Planck equation
Information entropy
Non-Gaussian noise

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10.1088/0253-6102/49/6/44

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title = "Time dependence of entropy flux and entropy production of a dissipative dynamical system driven by non-Gaussian noise",

abstract = "A stochastic dissipative dynamical system driven by non-Gaussian noise is investigated. A general approximate Fokker-Planck equation of the system is derived through a path-integral approach. Based on the definition of Shannon's information entropy, the exact time dependence of entropy flux and entropy production of the system is calculated both in the absence and in the presence of non-equilibrium constraint. The present calculation can be used to interpret the interplay of the dissipative constant and non-Gaussian noise on the entropy flux and entropy production.",

keywords = "Entropy flux and entropy production, Fokker-Planck equation, Information entropy, Non-Gaussian noise",

author = "Guo, {Yong Feng} and Wei Xu and Li, {Dong Xi} and Xie, {Wen Xian}",

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T1 - Time dependence of entropy flux and entropy production of a dissipative dynamical system driven by non-Gaussian noise

AU - Guo, Yong Feng

AU - Xu, Wei

AU - Li, Dong Xi

AU - Xie, Wen Xian

PY - 2008/6/15

Y1 - 2008/6/15

N2 - A stochastic dissipative dynamical system driven by non-Gaussian noise is investigated. A general approximate Fokker-Planck equation of the system is derived through a path-integral approach. Based on the definition of Shannon's information entropy, the exact time dependence of entropy flux and entropy production of the system is calculated both in the absence and in the presence of non-equilibrium constraint. The present calculation can be used to interpret the interplay of the dissipative constant and non-Gaussian noise on the entropy flux and entropy production.

AB - A stochastic dissipative dynamical system driven by non-Gaussian noise is investigated. A general approximate Fokker-Planck equation of the system is derived through a path-integral approach. Based on the definition of Shannon's information entropy, the exact time dependence of entropy flux and entropy production of the system is calculated both in the absence and in the presence of non-equilibrium constraint. The present calculation can be used to interpret the interplay of the dissipative constant and non-Gaussian noise on the entropy flux and entropy production.

KW - Entropy flux and entropy production

KW - Fokker-Planck equation

KW - Information entropy

KW - Non-Gaussian noise

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U2 - 10.1088/0253-6102/49/6/44

DO - 10.1088/0253-6102/49/6/44

M3 - 文章

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SN - 0253-6102

VL - 49

SP - 1561

EP - 1566

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 6

ER -

Time dependence of entropy flux and entropy production of a dissipative dynamical system driven by non-Gaussian noise

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Keywords

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