中文摘要：

本文引入分数阶微积运算,建立色噪声环境下分数阶布朗马达在闪烁棘齿势中的合作输运模型,通过数值模拟讨论分析了系统记忆性对合作定向输运性质的影响。本文的研究表明,系统记忆性可通过分数阶阶数和色噪声关联时间描述,且分数阶对输运特性的影响远大于色噪声;改变系统阶数不仅可影响粒子链定向输运速度的大小,还可改变其运动方向,使系统出现与整数阶方向相反的定向流,且出现振荡与广义随机共振现象;色噪声关联时间改变输运速度的大小,但不改变定向流的方向。

英文摘要：

Underlying the fractional calculus, the fractional Langevin equation is introduced to describe the cooperation transport of Brownian motor with the OU colored noise in the flashing ratchet potential. The system memory can be characterized by the fractional order and the correlation time of the colored noise. Directional transport properties under various parameters are analyzed through the numerical solution. Numerical results demonstrate that the influence of the fractional order on the transport property is more significant than the colored noise. The fractional order does not only affect the velocity of the particles, but also reverses the direction of the flow. The variation of the fractional order makes the particles＇ mean speed oscillate and causes generalized stochastic resonance as well. Furthermore, the correlation time of colored noise affects the speed of the flow.