Diffusion coefficient and mobility of a Brownian particle in a tilted periodic potential

Kazuo Sasaki, Satoshi Amari

Research output: Contribution to journalArticle

9 Citations (Scopus)

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 languageEnglish
Pages (from-to)2226-2232
Number of pages7
Journaljournal of the physical society of japan
Volume74
Issue number8
DOIs
Publication statusPublished - 2005 Aug 1

Keywords

  • Brownian motion
  • Diffusion coefficient
  • Mobility
  • Smoluchowski equation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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