Open AccessSpatiotemporally asymmetric fractionalLangevin-like ratchet
Author(s) -
Zhou Xing-Wang,
Lin Li-feng,
Ma Hong,
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.63.160503
Subject(s) - ratchet , asymmetry , ratchet effect , noise (video) , physics , langevin equation , langevin dynamics , statistical physics , molecular motor , computer science , quantum mechanics , biophysics , biology , work (physics) , artificial intelligence , image (mathematics)
In this paper, a spatiotemporally asymmetric fractional Langevin-like ratchet is constructed for the operation of a one-dimensional linear molecular motor subjected to both temporally asymmetric unbiased Langevin-like noise generated by the Logistic mapping and spatially asymmetric periodic potential. In this ratchet, the Langevin-like noise is used to describe fluctuations of intracellular surrounding, and the fractional order is responsible for the effect of the non-ideal intracellular surrounding. Then, by deducing the corresponding discrete mapping, dependance of ratchet effect on parameters are numerically investigated. Numerical results show that both the temporal asymmetry of noise and the spatial asymmetry of potential are crucial to the directed-transport of the ratchet, and competitive spatially asymmetric potential can even reverse the unidirected transport generated by the temporally asymmetric noise at suitable parameters.