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arXiv 1612.04446cond-mat.stat-mech
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时间非对称摇摆棘轮模型中的输运相干性

Transport coherence in a time-asymmetric rocked ratchet model

Mamata Sahoo, A M Jayannavar

摘要:

研究了锯齿势中存在时间非对称驱动力时过阻尼布朗粒子的动力学行为。我们观察到,在确定性的限制,输运相干性,这是由一个无量纲的量称为Peclet数,$Pe$是相当高的棘轮势较大的空间不对称性。对于该模型的参数空间的所有区域,$Pe$遵循类似斯托克斯效率的电流性质。作为驱动幅度的函数的扩散显示出最小值,恰好在该最小值处电流显示出最大值。与先前研究的模型不同,作为温度的函数的$Pe$显示出峰值行为,并且在高温下输运的相干性降低。在非绝热状态下,作为驱动幅度函数的$Pe$减小,并且峰值变得更宽,因此传输变得不可靠。

英文摘要:

We study the dynamics of an over damped Brownian particle in a saw tooth potential in the presence of a temporal asymmetric driving force. We observe that in the deterministic limit, the transport coherence, which is determined by a dimensionless quantity called Peclet number, $Pe$ is quite high for larger spatial asymmetry in the ratchet potential. For all the regime of parameter space of this model, $Pe$ follows the nature of current like Stokes efficiency. Diffusion as a function of amplitude of drive shows a minimum exactly at which the current shows a maximum. Unlike the previously studied models, the $Pe$ as a function of temperature shows a peaking behavior and the coherence in transport decreases for high temperatures. In the nonadiabatic regime, the $Pe$ as a function of amplitude of drive decreases and the peak gets broader as a result the transport becomes unreliable.

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