物理学报Issue(12)：1-6,6.DOI:10.7498/aps.63.120503
分数阶非对称耦合系统在对称周期势中的定向输运
Directional transp ort of fractional asymmetric coupling system in symmetric p erio dic p otential
摘要
Abstract
Based on the fractional calculus theory, in the absence of external driving force, the fractional transport model of asymmetric coupling particle chain in symmetric periodic potential is established. Using the method of fractional difference, the model is solved numerically and the influences of the various system parameters on directional transport velocity are discussed. Numerical results show that in the case without external force and noise-driven, the fractional asymmetric coupling system can still generate directional transport, and the transport velocity increases as fractional order increases. When the fractional order is fixed, the average velocity of the particle chain varies non-monotonically with coupling strength and barrier height. In the case with noise, the generalized stochastic resonance phenomenon occurs. Besides, we can make the noise not affect the system or even promote directional transport by adjusting other parameters.关键词
分数阶系统/非对称耦合/定向输运/广义随机共振Key words
fractional system/asymmetric coupling/directional transport/generalized stochastic reso-nance引用本文复制引用
屠浙,赖莉,罗懋康..分数阶非对称耦合系统在对称周期势中的定向输运[J].物理学报,2014,(12):1-6,6.基金项目
国家自然科学基金(批准号:11171238)资助的课题.* Project supported by the National Natural Science Foundation of China (Grant No.11171238) （批准号:11171238）
