Open AccessInfluences of the system symmetry and memory on the transport behavior of Brownian motor
Author(s) -
Wang Fei,
Tian Xie,
Chao Deng,
Maokang Luo
Publication year - 2014
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.63.160502
Subject(s) - symmetry (geometry) , asymmetry , physics , brownian motor , brownian motion , order (exchange) , fractional brownian motion , monotonic function , statistical physics , classical mechanics , quantum mechanics , mathematical analysis , mathematics , work (physics) , geometry , ratchet , finance , economics
Based on the research on transport phenomenon of fractional Brownian motor, a systematic parameter (i.e. symmetry parameter) which describes the asymmetry of the periodic potential field is introduced, and the influences of the symmetry parameter and the memory parameter (i.e. the fractional order) on the transport behavior are also investigated. The numerical results show that the combined effect of fractional order and symmetry parameter can result in the reverse flow of Brownian particle's transport, and the fractional order corresponding to the maximal averaged velocity is irrelevant to the frequency of the external periodic force, but it will still increase monotonically as the symmetry parameter increases.