Stochastic Energetics of Non-uniform Temperature Systems

1998/10/19 by Miki Matsuo, Matsuo, Miki, Shin-ichi Sasa +1 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/9810220

15 pages, LaTeX

arxiv created 1998/10/19 · arxiv updated 2009/11/30

Abstract

We propose an energetic interpretation ofstochastic 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-Plank 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 which realizes the Carnot efficiency.

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