Stochastic energetics of non-uniform temperature systems

被引：69

作者：

Matsuo, M ^{[1
]}

Sasa, S ^{[1
]}

机构：

[1] Univ Tokyo, Meguro Ku, Tokyo 153, Japan

来源：

PHYSICA A | 2000年 / 276卷 / 1-2期

关键词：

non-uniform temperature system; Kramers equation; Fokker-Planck equation; stochastic energetics;

D O I：

10.1016/S0378-4371(99)00365-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose an energetic interpretation of stochastic processes described by Langevin equations with non-uniform temperature. In order to avoid Ito-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. (C) 2000 Published by Elsevier Science B.V. All rights reserved.

引用

页码：188 / 200

页数：13

共 14 条

[1] High friction limit of the Kramers equation: The multiple time-scale approach [J].