| Issue |
EPL
Volume 132, Number 5, December 2020
|
|
|---|---|---|
| Article Number | 50007 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/132/50007 | |
| Published online | 24 February 2021 | |
Lateral diffusion on a frozen random surface
1 Center for Integrative Medicine and Physics, Institute for Advanced Study, Kyoto University Kyoto 606-8302, Japan
2 Department of Chemistry, Graduate School of Science, Tokyo Metropolitan University Tokyo 192-0397, Japan
(a) takaoohta1949@gmail.com
(b) komura@tmu.ac.jp
Received: 30 September 2020
Accepted: 22 December 2020
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.
PACS: 05.40.Jc – Brownian motion / 87.16.dp – Transport, including channels, pores, and lateral diffusion / 02.50.Ey – Stochastic processes
© 2021 EPLA
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.