论文标题
在粗糙电位领域中物质的非平衡传输特性
Nonequilibrium Transport Characteristics of substances in a Rough Potential Field
论文作者
论文摘要
提出了兰格文方程来描述过度阻尼的布朗颗粒在周期性的粗糙电位中的运输，并由公正的周期性驱动。可以使用Kramers-Moyal扩展将方程式转换为Fokker-Planck方程。 Fokker-Planck方程的时间相关解显示了概率流的不同模式。这些模式包括沿单个方向爬行，方向逆转和在坐标空间中的两个方向上振荡。通过改变粗糙度和噪声强度，流动可以在模式之间转换。噪声和空间之间的相关性表明噪声可以维持模式的振荡，并将瞬态时间延长至流动趋于零的稳态。
A Langevin equation is proposed to describe the transport of overdamped Brownian particles in a periodic rough potential and driven by an unbiased periodic force. The equation can be transformed into the Fokker-Planck equation by using the Kramers-Moyal expansions. The time-dependent solution of Fokker-Planck equation demonstrates different modes of the probability flow. These modes include creeping in a single direction, direction reversal and oscillating in both directions in the coordinate space. By varying the roughness and noise intensity, the flow can transform between the modes. The correlation between the noise and space indicates that the noise can maintain the oscillation of the modes and prolong the transient time to the steady state at which the flow tends to be zero.
