Unattainability of Carnot efficiency in the Brownian heat engine

被引:87
作者
Hondou, T [1 ]
Sekimoto, K
机构
[1] Tohoku Univ, Dept Phys, Sendai, Miyagi 9808578, Japan
[2] Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan
来源
PHYSICAL REVIEW E | 2000年 / 62卷 / 05期
关键词
D O I
10.1103/PhysRevE.62.6021
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We discuss the reversibility of the Brownian heat engine. We perform an asymptotic analysis of the Kramers equation on a Buttiker-Landauer system and show quantitatively that Carnot efficiency is unattainable even in the fully overdamped limit. The unattainability is attributed to inevitable irreversible heat flow over the temperature boundary.
引用
收藏
页码:6021 / 6025
页数:5
相关论文
共 17 条
[1]  
BARROW GM, 1979, PHYSICAL CHEM
[2]   TRANSPORT AS A CONSEQUENCE OF STATE-DEPENDENT DIFFUSION [J].
BUTTIKER, M .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1987, 68 (2-3) :161-167
[3]   Efficiency of Brownian heat engines [J].
Derényi, I ;
Astumian, RD .
PHYSICAL REVIEW E, 1999, 59 (06) :R6219-R6222
[4]  
FEYNMAN RP, 1966, FEYNMAN LECT PHYSICS
[5]   Irreversible operation in a stalled state of Feynman's ratchet [J].
Hondou, T ;
Takagi, F .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1998, 67 (09) :2974-2976
[6]   Modeling molecular motors [J].
Julicher, F ;
Ajdari, A ;
Prost, J .
REVIEWS OF MODERN PHYSICS, 1997, 69 (04) :1269-1281
[7]   Energetics of a forced thermal ratchet [J].
Kamegawa, H ;
Hondou, T ;
Takagi, F .
PHYSICAL REVIEW LETTERS, 1998, 80 (24) :5251-5254
[8]   Brownian motion in a field of force and the diffusion model of chemical reactions [J].
Kramers, HA .
PHYSICA, 1940, 7 :284-304
[9]   MOTION OUT OF NOISY STATES [J].
LANDAUER, R .
JOURNAL OF STATISTICAL PHYSICS, 1988, 53 (1-2) :233-248
[10]   Stochastic energetics of non-uniform temperature systems [J].
Matsuo, M ;
Sasa, S .
PHYSICA A, 2000, 276 (1-2) :188-200