No-Pumping Theorem for Many Particle Stochastic Pumps

被引:20
作者
Asban, Shahaf [1 ]
Rahav, Saar [2 ]
机构
[1] Technion Israel Inst Technol, Fac Phys, IL-32000 Haifa, Israel
[2] Technion Israel Inst Technol, Schulich Fac Chem, IL-32000 Haifa, Israel
基金
以色列科学基金会;
关键词
MOLECULAR ROTORS; MOTORS; TRANSPORT; MACHINES;
D O I
10.1103/PhysRevLett.112.050601
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Stochastic pumps are models of artificial molecular machines which are driven by periodic time variation of parameters, such as site and barrier energies. The no-pumping theorem states that no directed motion is generated by variation of only site or barrier energies [S. Rahav, J. Horowitz, and C. Jarzynski, Phys. Rev. Lett. 101, 140602 (2008)]. We study stochastic pumps of several interacting particles and demonstrate that the net current of particles satisfies an additional no-pumping theorem.
引用
收藏
页数:5
相关论文
共 30 条
[1]   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
[2]   Stochastic Conformational Pumping: A Mechanism for Free-Energy Transduction by Molecules [J].
Astumian, R. Dean .
ANNUAL REVIEW OF BIOPHYSICS, VOL 40, 2011, 40 :289-313
[3]   Adiabatic pumping mechanism for ion motive ATPases [J].
Astumian, RD .
PHYSICAL REVIEW LETTERS, 2003, 91 (11)
[4]   The geometric universality of currents [J].
Chernyak, V. Y. ;
Chertkov, M. ;
Sinitsyn, N. A. .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2011,
[5]   Pumping Restriction Theorem for Stochastic Networks [J].
Chernyak, V. Y. ;
Sinitsyn, N. A. .
PHYSICAL REVIEW LETTERS, 2008, 101 (16)
[6]   Quantization and fractional quantization of currents in periodically driven stochastic systems. I. Average currents [J].
Chernyak, Vladimir Y. ;
Klein, John R. ;
Sinitsyn, Nikolai A. .
JOURNAL OF CHEMICAL PHYSICS, 2012, 136 (15)
[7]   Great expectations: can artificial molecular machines deliver on their promise? [J].
Coskun, Ali ;
Banaszak, Michal ;
Astumian, R. Dean ;
Stoddart, J. Fraser ;
Grzybowski, Bartosz A. .
CHEMICAL SOCIETY REVIEWS, 2012, 41 (01) :19-30
[8]   The art of building small: From molecular switches to molecular motors [J].
Feringa, Ben L. .
JOURNAL OF ORGANIC CHEMISTRY, 2007, 72 (18) :6635-6652
[9]   Exact Formula for Currents in Strongly Pumped Diffusive Systems [J].
Horowitz, Jordan M. ;
Jarzynski, Christopher .
JOURNAL OF STATISTICAL PHYSICS, 2009, 136 (05) :917-925
[10]  
Howard J., 2001, MECH MOTOR PROTEINS, Vxvi, P367