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系统非对称性及记忆性对布朗马达输运行为的影响
Influences of the system symmetry and memory on the transp ort b ehavior of Brownian motor
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摘要: 在对分数阶布朗马达输运现象研究的基础上，引入了描述系统势场对称性的参数(简称对称性参数)，并详细分析了该参数及记忆性参数(分数阶阶数)对粒子输运状态的影响。仿真结果表明，分数阶阶数和对称性参数的共同作用会使得布朗粒子形成定向输运反向流，反向后达到最大平均流速所对应的阶数与外加驱动力频率无关联，但会随对称性参数的增加而单调递增。Abstract: Based on the research on transport phenomenon of fractional Brownian motor, a systematic parameter (i.e. sym-metry parameter) which describes the asymmetry of the periodic potential field is introduced, and the influences of the symmetry parameter and the memory parameter (i.e. the fractional order) on the transport behavior are also investigat-ed. The numerical results show that the combined effect of fractional order and symmetry parameter can result in the reverse flow of Brownian particle’s transport, and the fractional order corresponding to the maximal averaged velocity is irrelevant to the frequency of the external periodic force, but it will still increase monotonically as the symmetry parameter increases.
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