Entropy flux and entropy production of a stochastic system with double singularities driven by colored noise

Wen Xian Xie; Wei Xu; Li Cai

doi:10.7498/aps.55.1639

Entropy flux and entropy production of a stochastic system with double singularities driven by colored noise

Wen Xian Xie, Wei Xu, Li Cai

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

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

8 Scopus citations

Abstract

This paper shows the Fokker-Planck(FP) equation of a stochastic system with double singularities driven by Gaussian colored noise. Based on the FP equation and 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 relationship between the properties of double singularities, noise correlation time and dissipative parameter and their effects on entropy flux and entropy production are discussed.

Original language	English
Pages (from-to)	1639-1643
Number of pages	5
Journal	Wuli Xuebao/Acta Physica Sinica
Volume	55
Issue number	4
DOIs	https://doi.org/10.7498/aps.55.1639
State	Published - Apr 2006

Keywords

Entropy flux and entropy production
Gaussian colored noise
Information entropy
Stochastic system with double singularities

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10.7498/aps.55.1639

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abstract = "This paper shows the Fokker-Planck(FP) equation of a stochastic system with double singularities driven by Gaussian colored noise. Based on the FP equation and 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 relationship between the properties of double singularities, noise correlation time and dissipative parameter and their effects on entropy flux and entropy production are discussed.",

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AU - Xu, Wei

AU - Cai, Li

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N2 - This paper shows the Fokker-Planck(FP) equation of a stochastic system with double singularities driven by Gaussian colored noise. Based on the FP equation and 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 relationship between the properties of double singularities, noise correlation time and dissipative parameter and their effects on entropy flux and entropy production are discussed.

AB - This paper shows the Fokker-Planck(FP) equation of a stochastic system with double singularities driven by Gaussian colored noise. Based on the FP equation and 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 relationship between the properties of double singularities, noise correlation time and dissipative parameter and their effects on entropy flux and entropy production are discussed.

KW - Entropy flux and entropy production

KW - Gaussian colored noise

KW - Information entropy

KW - Stochastic system with double singularities

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JO - Wuli Xuebao/Acta Physica Sinica

JF - Wuli Xuebao/Acta Physica Sinica

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ER -

Entropy flux and entropy production of a stochastic system with double singularities driven by colored noise

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Keywords

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