Generalized Einstein Relation for Brownian Motion in Tilted Periodic Potential

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Scientific paper

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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