Time dependence of entropy flux and entropy production for a dynamical system driven by noises with coloured cross-correlation |
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Authors: | Xie Wen-Xian Xu Wei and Cai Li |
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Institution: | Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China; College of Astronautics, Northwestern Polytechnical University, Xi' an 710072, China |
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Abstract: | This paper shows the Fokker--Planck equation of a dynamical system
driven by coloured cross-correlated white noises in the absence and
presence of a small external force. Based on the Fokker--Planck
equation and the definition of Shannon's information entropy, the
time dependence of entropy flux and entropy production can be
calculated. The present results can be used to explain the extremal
behaviour of time dependence of entropy flux and entropy production
in view of the dissipative parameter γ of the system, coloured
cross-correlation time \tau and coloured cross-correlation strength
\la. |
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Keywords: | information entropy entropy flux entropy production coloured cross-correlation Fokker--Planck
equation |
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