Lateral diffusion on a frozen random surface / Takao Ohta; Shigeyuki Komura
Si trova su / Altri legami
Copyright © 2021 EPLAThe 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.
