论文标题
流体动力记忆可以促进极大驱动的非线性扩散和运输
Hydrodynamic memory can boost enormously driven nonlinear diffusion and transport
论文作者
论文摘要
自19世纪以来，流体动力记忆力或贝塞力就已经知道。然而，它对布朗运动的影响仍未得到探索。在这里，我们研究了其在倾斜垫板电位范式模型中的非线性运输和扩散中的作用。在此模型中，驱动扩散在其潜在的极限上的巨大增强呈现出良好的悖论现象。在过度阻尼的极限下，它发生在消失的潜在障碍物的临界倾斜下。但是，对于较弱的阻尼，它出人意料地发生在另一个关键的倾斜度上，在另一个关键的倾斜度上，潜在的障碍明确表示。最近，我们表明贝塞力可以使如此扩散的增强大大增加。在本文中，我们发现，即使对于中等强大的阻尼，当记忆效应微不足道时，过度抑制的理论效果很好，大量的流体动力记忆出乎意料地产生了强烈的影响。首先，扩散提升发生在非变化的潜在障碍物下，并且可能更大的数量级。其次，瞬时异常扩散状态在许多时间内出现和潜在时期。第三，颗粒的迁移率也可以显着增强，并且出现了较长的短暂性超级传输方式。
Hydrodynamic memory force or Basset force is known since the 19th-century. Its influence on Brownian motion remains, however, mostly unexplored. Here, we investigate its role in nonlinear transport and diffusion within a paradigmatic model of tilted washboard potential. In this model, a giant enhancement of driven diffusion over its potential-free limit presents a well-established paradoxical phenomenon. In the overdamped limit, it occurs at a critical tilt of vanishing potential barriers. However, for weak damping, it takes place surprisingly at another critical tilt, where the potential barriers are clearly expressed. Recently we showed that Basset force could make such a diffusion enhancement enormously large. In this paper, we discover that even for moderately strong damping, where the overdamped theory works very well when the memory effects are negligible, substantial hydrodynamic memory unexpectedly makes a strong impact. First, the diffusion boost occurs at non-vanishing potential barriers and can be orders of magnitude larger. Second, transient anomalous diffusion regimes emerge over many time decades and potential periods. Third, particles' mobility can also be dramatically enhanced, and a long transient super-transport regime emerges.
