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Stochastic energetics of non-uniform temperature systems

Author

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  • Matsuo, Miki
  • Sasa, Shin-ichi

Abstract

We propose an energetic interpretation of stochastic processes described by Langevin equations with non-uniform temperature. In order to avoid Itô–Stratonovich dilemma, we start with a Kramers equation, and derive a Fokker–Planck equation by the renormalization group method. We give a proper definition of heat for the system. Based on our formulations, we analyze two examples, the Thomson effect and a Brownian motor. The latter realizes the Carnot efficiency.

Suggested Citation

  • Matsuo, Miki & Sasa, Shin-ichi, 2000. "Stochastic energetics of non-uniform temperature systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 276(1), pages 188-200.
    • Handle: RePEc:eee:phsmap:v:276:y:2000:i:1:p:188-200
    DOI: 10.1016/S0378-4371(99)00365-9
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