粗糙势场中物质的非平衡输运特性
Nonequilibrium Transport Characteristics of substances in a Rough Potential Field
AI总结：
提出 Langevin 方程描述无偏周期力驱动下过阻尼 Brownian 粒子在粗糙势中的输运，经 Kramers-Moyal 展开转化为 Fokker-Planck 方程，揭示了概率流的不同模式及其受粗糙度与噪声影响的转换规律。
摘要：
提出一个 Langevin 方程描述在无偏周期力驱动下过阻尼 Brownian 粒子在周期性粗糙势中的输运。利用 Kramers-Moyal 展开可将该方程转化为 Fokker-Planck 方程。Fokker-Planck 方程含时解展示了概率流的不同模式，包括在坐标空间中单向蠕行、方向反转和双向振荡。通过改变粗糙度和噪声强度，流可在这些模式间转换。噪声与空间的相关性表明，噪声能维持模式振荡，并延长至流趋于零的稳态的暂态时间。
英文摘要：
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.
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