Stochastic energetics of non-uniform temperature systems

Miki Matsuo and Shin-ichi Sasa

Physica A: Statistical Mechanics and its Applications, 2000, vol. 276, issue 1, 188-200

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.

Keywords: Non-uniform temperature system; Kramers equation; Fokker–Planck equation; Stochastic energetics (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:276:y:2000:i:1:p:188-200

DOI: 10.1016/S0378-4371(99)00365-9

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