冻结随机面上的侧向扩散
Lateral diffusion on a frozen random surface
摘要：
本文研究了二维随机表面上布朗粒子在猝灭极限下的横向扩散系数。我们从Naji和Brown导出的布朗粒子在起伏表面上的随机运动方程开始。在等形状曲面无空间相关性的条件下，精确计算了质点在基面上投影的均方位移。我们证明，所得到的横向扩散系数是在已知的上限和下限之间。
英文摘要：
The lateral diffusion coefficient of a Brownian particle on a two-dimensional random surface is studied in the quenched limit for which the surface configuration is time-independent. We start with the stochastic equation of motion for a Brownian particle on a fluctuating surface, which has been derived by Naji and Brown. The mean square displacement of the particle projected on a base plane is calculated exactly under the condition that the surface with a constant shape has no spatial correlation. We prove that the obtained lateral diffusion coefficient is in between the known upper and lower bounds.
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