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
Bocquet, L
[J]. AMERICAN JOURNAL OF PHYSICS, 1997, 65 (02) : 140 - 144
[2] TRANSPORT AS A CONSEQUENCE OF STATE-DEPENDENT DIFFUSION
BUTTIKER, M
[J]. ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1987, 68 (2-3): : 161 - 167
[3] Callen H. B., 1960, THERMODYNAMICS
[4] Renormalization group and singular perturbations: Multiple scales, boundary layers, and reductive perturbation theory
Chen, LY
Goldenfeld, N
Oono, Y
[J]. PHYSICAL REVIEW E, 1996, 54 (01): : 376 - 394
[5] FEYNMAN RP, 1963, FEYNMAN LECT PHYSICS, V1
[6] HONDOU T, IRREVERSIBLE OPERATI
[7] Energetics of a forced thermal ratchet
Kamegawa, H
Hondou, T
Takagi, F
[J]. PHYSICAL REVIEW LETTERS, 1998, 80 (24) : 5251 - 5254
[8] FORCED THERMAL RATCHETS
MAGNASCO, MO
[J]. PHYSICAL REVIEW LETTERS, 1993, 71 (10) : 1477 - 1481
[9] RISKEN H, 1989, FOKKERPLANCK EQUATIO
[10] A Langevin simulation for the Feynman ratchet model
Sakaguchi, H
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1998, 67 (03) : 709 - 712

← 1 2 →