Lateral diffusion on a frozen random surface
Lateral diffusion on a frozen random surface
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DOI：
10.1209/0295-5075/132/50007
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发表时间：
2020-10
期刊：
影响因子：
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通讯作者：
T. Ohta;S. Komura
中科院分区：
文献类型：
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作者：
T. Ohta;S. Komura
研究了二维随机表面上布朗粒子在淬火极限下的横向扩散系数，该极限下的表面构型与时间无关。我们从Naji和Brown推导的波动表面上布朗粒子的随机运动方程开始。在形状不变的曲面没有空间相关性的情况下，精确计算了粒子在基面上的均方位移。我们证明了得到的横向扩散系数在已知的上界和下界之间。
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.