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Generalized Einstein Relation for Brownian Motion in Tilted Periodic Potential

Statistical Mechanics 2015-06-25 v1 Soft Condensed Matter

Abstract

A generalized Einstein relation is studied for Brownian motion in a tilted potential. The exact form of the diffusion constant of the Brownian motion is compared with the generalized Einstein relation. The generalized Einstein relation is a good approximation in a parameter range where the Brownian motion exhibits stepwise motion.

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Cite

@article{arxiv.cond-mat/0610360,
  title  = {Generalized Einstein Relation for Brownian Motion in Tilted Periodic Potential},
  author = {Hidetsugu Sakaguchi},
  journal= {arXiv preprint arXiv:cond-mat/0610360},
  year   = {2015}
}

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2 figures