Relaxation high-temperature ratchets

被引：3

作者：

Shapochkina, I. V. ^{[1
,2
,3
]}

Rozenbaum, V. M. ^{[1
,2
,4
]}

Sheu, S. -Y. ^{[5
,6
]}

Yang, D. -Y. ^{[1
]}

Lin, S. H. ^{[1
,2
]}

Trakhtenberg, L. I. ^{[7
,8
]}

机构：

[1] Acad Sinica, Inst Atom & Mol Sci, Taipei 106, Taiwan

[2] Natl Chiao Tung Univ, Dept Appl Chem, 1001 Ta Hsuen Rd, Hsinchu, Taiwan

[3] Belarusian State Univ, Dept Phys, Prospekt Nezavisimosti 4, Minsk 220050, BELARUS

[4] Natl Acad Sci Ukraine, Chuiko Inst Surface Chem, Generala Naumova Str 17, UA-03164 Kiev, Ukraine

[5] Natl Yang Ming Univ, Dept Life Sci, Taipei 112, Taiwan

[6] Natl Yang Ming Univ, Inst Genome Sci, Inst Biomed Informat, Taipei 112, Taiwan

[7] Russian Acad Sci, Semenov Inst Chem Phys, Kosygin St 4, Moscow 119991, Russia

[8] Karpov Inst Phys Chem, State Sci Ctr Russian Federat, Moscow 105064, Russia

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 514卷

基金：

俄罗斯基础研究基金会;

关键词：

Driven diffusive systems; Brownian motor; Adiabatic flashing ratchet; BROWNIAN MOTORS; TRANSPORT; DIFFUSION;

D O I：

10.1016/j.physa.2018.09.039

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the overdamped motion of a Brownian particle in an asymmetric spatially periodic potential which fluctuates periodically in time, under assumption of finite duration of the relaxation response of the system on deterministic dichotomous fluctuations. It is assumed that the period of these fluctuations is much larger than the characteristic diffusion time and the potential barrier height is small as compared to the thermal energy (an adiabatic high-temperature flashing ratchet). We derive an analytical expression for the average particle velocity, which is concretized for a saw-tooth potential profile. It is revealed the different, linear and quadratic, asymptotic behavior of the average velocity as a function of the relaxation time for extremely and not extremely asymmetric potential profiles, respectively. The result is interpreted in terms of the self-similar representation. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：71 / 78

页数：8

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