Generalized Einstein Relation for Brownian Motion in Tilted Periodic Potential

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.

2 figures

References in corpus (3)

• Equality connecting energy dissipation with violation of fluctuation-response relation
• Restoring a fluctuation-dissipation theorem in a nonequilibrium steady state
• Efficiency and Fluctuation in Tight-Coupling Model of Molecular Motor

Cited by in corpus (4)

• Diffusion coefficient of a Brownian particle in equilibrium and nonequilibrium: Einstein model and beyond
• Noise activated dissociation of soft elastic contacts
• Intermediate scattering function of Brownian particles in a tilted cosine potential
• Cooperative jump motions of jammed particles in a one-dimensional periodic potential