Stochastic Energetics of Non-uniform Temperature Systems

Details Stochastic Energetics of Non-uniform Temperature Systems Stochastic Energetics of Non-uniform Temperature Systems

1998-10-19

arxiv.org/abs/cond-mat/9810220v1

Physics

Condensed Matter

Statistical Mechanics

15 pages, LaTeX

Scientific paper

We propose an energetic interpretation ofstochastic processes described by Langevin equations with non-uniform temperature. In order to avoid It\^{o}-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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