有限尺寸颗粒的熵输运
Entropic transport of finite size particles
摘要：
研究了有限半径球形布朗粒子通过变截面窄通道的输运问题。应用所谓的Fick-Jacobs近似，即假设在通道轴的正交方向上的快速平衡，2D问题可以由1D有效动力学来描述，其中瓶颈导致熵障碍。几何约束导致熵障碍，粒子必须克服这些障碍才能在传输方向上前进。的非线性迁移率的运输的分析结果进行了比较与精确的数值模拟结果。非线性迁移率对颗粒尺寸的依赖性表现出惊人的共振状行为作为相对颗粒尺寸的函数;后一个特征呈现可能的新的有效的颗粒分离方案。
英文摘要：
Transport of spherical Brownian particles of finite size possessing radii through narrow channels with varying cross-section area is considered. Applying the so-called Fick-Jacobs approximation, i.e. assuming fast equilibration in orthogonal direction of the channel axis, the 2D problem can be described by a 1D effective dynamics in which bottlenecks cause entropic barriers. Geometrical confinements result in entropic barriers which the particles have to overcome in order to proceed in transport direction. The analytic findings for the nonlinear mobility for the transport are compared with precise numerical simulation results. The dependence of the nonlinear mobility on the particle size exhibits a striking resonance-like behavior as a function of the relative particle size; this latter feature renders possible new effective particle separation scenarios.
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