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
发布时间：2018-07-27 21:35
【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.
[Abstract]:The cooperative transport model of fractional Brownian motor in scintillation ratchet potential is established by introducing fractional differential product operation. The effects of system memory on cooperative directional transport properties are discussed by numerical simulation. The study of this paper shows that the system memory can be described by fractional order and color noise correlation time, and the influence of fractional order on transport characteristics is much greater than that of color noise, and changing the system order can not only affect the magnitude of particle chain directional transport velocity. The direction of motion can also be changed to make the system appear the directional flow opposite to the integer direction and the phenomenon of oscillation and generalized stochastic resonance. The color noise correlation time changes the transport velocity but does not change the direction of the directional flow.
【作者单位】： 四川大学数学学院;
【基金】：国家自然科学基金(11171238);国家自然科学基金青年科学基金(11401405)
【分类号】：O324;O302
本文编号：2149204
[Abstract]:The cooperative transport model of fractional Brownian motor in scintillation ratchet potential is established by introducing fractional differential product operation. The effects of system memory on cooperative directional transport properties are discussed by numerical simulation. The study of this paper shows that the system memory can be described by fractional order and color noise correlation time, and the influence of fractional order on transport characteristics is much greater than that of color noise, and changing the system order can not only affect the magnitude of particle chain directional transport velocity. The direction of motion can also be changed to make the system appear the directional flow opposite to the integer direction and the phenomenon of oscillation and generalized stochastic resonance. The color noise correlation time changes the transport velocity but does not change the direction of the directional flow.
【作者单位】： 四川大学数学学院;
【基金】：国家自然科学基金(11171238);国家自然科学基金青年科学基金(11401405)
【分类号】：O324;O302
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