论文标题
冷冻随机表面上的横向扩散
Lateral diffusion on a frozen random surface
论文作者
论文摘要
在表面构型不依赖时间独立的淬灭极限中，研究了布朗粒子在二维随机表面上的横向扩散系数。我们从在波动表面上的布朗粒子的随机运动方程开始，该表面已由Naji和Brown得出。在基本平面上投射的粒子的均方位移是在恒定形状没有空间相关的情况下精确计算出的。我们证明所获得的横向扩散系数位于已知的上限和下限之间。
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.
