论文标题
横向重力偏置的圆锥形变化宽度通道中的第一阶段时间：分析和数值结果的比较
First-passage times in conical varying-width channels biased by a transverse gravitational force: Comparison of analytical and numerical results
论文作者
论文摘要
我们研究了在横向外部重力场下扩展和缩小二维圆锥形通道的两端之间扩散点颗粒的交叉时间统计。在以下假设的假设下得出了这种系统平均第一学期时间的理论表达，即可以将平滑变化几何形状的二维通道中的轴向扩散近似地描述为在熵势中的一维扩散，其位置依赖性有效的FICK-JACOBS EQUERATION的有效性扩散。我们根据平均第一学期时间分析了通道交叉动力学，将我们的分析结果与广泛的二维布朗动力学模拟相结合，使我们能够找到一维近似的适用性范围。我们发现，随着外部电势的振幅的增加，有效的颗粒扩散率降低。值得注意的是，越过通道的平均第一通道时间在电位振幅的有限值下假设最小值。
We study the crossing time statistic of diffusing point particles between the two ends of expanding and narrowing two-dimensional conical channels under a transverse external gravitational field. The theoretical expression for the mean first-passage time for such a system is derived under the assumption that the axial diffusion in a two-dimensional channel of smoothly varying geometry can be approximately described as a one-dimensional diffusion in an entropic potential with position-dependent effective diffusivity in terms of the modified Fick-Jacobs equation. We analyze the channel crossing dynamics in terms of the mean first-passage time, combining our analytical results with extensive two-dimensional Brownian dynamics simulations, allowing us to find the range of applicability of the one-dimensional approximation. We find that the effective particle diffusivity decreases with increasing amplitude of the external potential. Remarkably, the mean first-passage time for crossing the channel is shown to assume a minimum at finite values of the potential amplitude.
