Abstract
The Brownian motion of a particle in a one-dimensional periodic potential subjected to a uniform external force F is studied. Using the formula for the diffusion coefficient D obtained by other authors and an alternative one derived from the Smoluchowski equation in the present work, D is compared with the differential mobility μ = dυ/dF where υ is the average velocity of the particle. Analytical and numerical calculations indicate that inequality D ≥ μkBT, with kB the Boltzmann constant and T the temperature, holds if the periodic potential is symmetric, while it is violated for asymmetric potentials when F is small but nonzero.
| Original language | English |
|---|---|
| Pages (from-to) | 2226-2232 |
| Number of pages | 7 |
| Journal | journal of the physical society of japan |
| Volume | 74 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 2005 Aug 1 |
Keywords
- Brownian motion
- Diffusion coefficient
- Mobility
- Smoluchowski equation
ASJC Scopus subject areas
- Physics and Astronomy(all)
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Sasaki, K., & Amari, S. (2005). Diffusion coefficient and mobility of a Brownian particle in a tilted periodic potential. journal of the physical society of japan, 74(8), 2226-2232. https://doi.org/10.1143/JPSJ.74.2226