Pumping Restriction Theorem for Stochastic Networks

被引:52
作者
Chernyak, V. Y. [1 ,2 ]
Sinitsyn, N. A. [3 ]
机构
[1] Wayne State Univ, Dept Chem, Detroit, MI 48202 USA
[2] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA
[3] Los Alamos Natl Lab, Ctr Nonlinear Studies & Comp, Computat & Stat Sci Div, Los Alamos, NM 87545 USA
基金
美国国家科学基金会;
关键词
19;
D O I
10.1103/PhysRevLett.101.160601
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We formulate an exact result, which we refer to as the pumping restriction theorem (PRT). It imposes strong restrictions on the currents generated by periodic driving in a generic dissipative system with detailed balance, and provides a universal nonperturbative approach to explore the stochastic pump effect in nonadiabatically driven systems.
引用
收藏
页数:4
相关论文
共 19 条
[1]   Fluctuation theorem for currents and Schnakenberg network theory [J].
Andrieux, David ;
Gaspard, Pierre .
JOURNAL OF STATISTICAL PHYSICS, 2007, 127 (01) :107-131
[2]   Adiabatic operation of a molecular machine [J].
Astumian, R. Dean .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2007, 104 (50) :19715-19718
[3]   Symmetry relations for trajectories of a Brownian motor [J].
Astumian, R. Dean .
PHYSICAL REVIEW E, 2007, 76 (02)
[4]   Fluctuation driven transport and models of molecular motors and pumps [J].
Astumian, RD ;
Derényi, I .
EUROPEAN BIOPHYSICS JOURNAL WITH BIOPHYSICS LETTERS, 1998, 27 (05) :474-489
[5]   Brownian motors [J].
Astumian, RD ;
Hänggi, P .
PHYSICS TODAY, 2002, 55 (11) :33-39
[6]  
Büttiker A, 2006, LECT NOTES PHYS, V690, P33
[7]  
Jarzynski C, 1998, ACTA PHYS POL B, V29, P1609
[8]   The stochastic pump current and the non-adiabatic geometrical phase [J].
Ohkubo, Jun .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2008,
[9]   Reversible ratchets as Brownian particles in an adiabatically changing periodic potential [J].
Parrondo, JMR .
PHYSICAL REVIEW E, 1998, 57 (06) :7297-7300
[10]   Directed flow in nonadiabatic stochastic pumps [J].
Rahav, Saar ;
Horowitz, Jordan ;
Jarzynski, Christopher .
PHYSICAL REVIEW LETTERS, 2008, 101 (14)