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Entropy Production Rate of Non-equilibrium Systems from the Fokker-Planck Equation

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Abstract

The entropy production rate of non-equilibrium systems is studied via the Fokker-Planck equation. This approach, based on the entropy production rate equation given by Schnakenberg from a master equation, requires information on the transition rate of the system under study. We obtain the transition rate from the conditional probability extracted from the Fokker-Planck equation and then derive a new and more operable expression for the entropy production rate. A few examples are presented as applications of our approach.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China under Grant No. 11175128.

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Authors and Affiliations

  1. Department of Physics, School of Science, Tianjin University, Tianjin, 300072, China

    Yu Haitao & Du Jiulin

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  1. Yu Haitao
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  2. Du Jiulin
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Correspondence to Du Jiulin.

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Haitao, Y., Jiulin, D. Entropy Production Rate of Non-equilibrium Systems from the Fokker-Planck Equation. Braz J Phys 44, 410–414 (2014). https://doi.org/10.1007/s13538-014-0234-6

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  • DOI: https://doi.org/10.1007/s13538-014-0234-6

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