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Onsager coefficients of a Brownian Carnot cycle

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  • Y. Izumida
  • K. Okuda

Abstract

We study a Brownian Carnot cycle introduced by Schmiedl and Seifert [Europhys. Lett. 81, 20003 (2008)] from a viewpoint of the linear irreversible thermodynamics. By considering the entropy production rate of this cycle, we can determine thermodynamic forces and fluxes of the cycle and calculate the Onsager coefficients for general protocols, that is, arbitrary schedules to change the potential confining the Brownian particle. We show that these Onsager coefficients contain the information of the protocol shape and they satisfy the tight-coupling condition irrespective of whatever protocol shape we choose. These properties may give an explanation why the Curzon-Ahlborn efficiency often appears in the finite-time heat engines. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Suggested Citation

  • Y. Izumida & K. Okuda, 2010. "Onsager coefficients of a Brownian Carnot cycle," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 77(4), pages 499-504, October.
    • Handle: RePEc:spr:eurphb:v:77:y:2010:i:4:p:499-504
    DOI: 10.1140/epjb/e2010-00285-0
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    Cited by:

    1. Chimal-Eguia, J.C. & Paez-Hernández, R.T. & Pacheco-Paez, J.C., 2021. "Comparative performance analysis of a Brownian Carnot cycle from the perspective of a stochastic model against the Linear Irreversible Thermodynamics theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).
    2. Huang, X.L. & Yu, Qian & Zhang, H.W. & Zhao, S.Q. & Wu, S.L., 2021. "Thermoelectric generator with finite-sized reservoir," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).

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