色噪声环境下系统记忆性对分数阶布朗马达合作输运特性的影响

Influences of the system memory on the transport properties of fractional coupled Brownian motors with colored noise

摘要:

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.发现系统记忆性可通过分数阶阶数和色噪声关联时间描述，且系统分数阶阶数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，但未能改变定向流的方向.

Abstract:

Basing on the fractional calculus, the fractional Langevin Equation is introduced to describe the cooperation transport processes of Brownian motors 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 properties 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.