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物理学报  2013 

Transport of fractional coupled Brownian motor in asymmetric periodic potential
耦合分数阶布朗马达在非对称势中的输运

Keywords: fractional Frenkel-Kontorova model,memorable medium,stochastic resonance,current reversal
分数阶Frenkel-Kontorova模型
,记忆性介质,随机共振,定向输运反向流

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Abstract:

In this paper, we first discuss the physical meaning of the fractional Frenkel-Kontorova model and depict the transport phenomenon of elastically coupled particles in a memorable medium, then give the effects of various parameters on the motion of coupled particles. According to the numerical value, the memory effect of system has a significant influence on the motion of coupled particles, in addition, the current reversal which does not exist in a non-memorable system appears, this is an abnormal phenomenon. What is more in this research we find that there appears the generalized resonance in the system mean velocity as the spring constant and the fractional order are varied, and the generalized stochastic resonance will appear with noise intensity changing.

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