Lévy飞行与次扩散共存的定向运输
Directed transport driven by Lévy flights coexisting with subdiffusion
摘要：
研究了在无外力作用下，Lévy飞行与次扩散共存的非对称周期势场中布朗粒子的输运。利用Langevin型动力学和从属技术，我们得到了可以测量输运的群速度。结果表明，群速度随次扩散指数单调增加，且存在一个最佳Lévy指数值，在该值处群速度最大.亚扩散指数存在一个阈值，低于该阈值，棘轮效应消失。莱维飞行的非热特征和势的不对称性对于获得定向传输是必要的。还观察到了Lévy飞行与次扩散之间的竞争所引起的一些特殊现象。正态扩散将出现在中值的水平上。
英文摘要：
Transport of the Brownian particles driven by Lévy flights coexisting with subdiffusion in asymmetric periodic potentials is investigated in the absence of any external driving forces. Using the Langevin-type dynamics with subordination techniques, we obtain the group velocity which can measure the transport. It is found that the group velocity increases monotonically with the subdiffusive index and there exists an optimal value of the Lévy index at which the group velocity takes its maximal value. There is a threshold value of the subdiffusive index below which the ratchet effects will disappear. The nonthermal character of the Lévy flights and the asymmetry of the potential are necessary to obtain the directed transport. Some peculiar phenomena induced by the competition between Lévy flights and subdiffusion are also observed. The pseudonormal diffusion will appear on the level of the median.
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