Lateral diffusion on a frozen random surface

2020/10/03 by Takao Ohta, Ohta, Takao, Shigeyuki Komura +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2010.01271

openalex publication_date 2020/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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