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Regular version of the site

Article

Diffusion of a particle in the Gaussian random-energy landscape: Einstein relation and analytical properties of average velocity and diffusivity as functions of driving force

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2018. Vol. 98. No. 1. P. 012128-1- 012128-8.
Novikov S.V.

We demonstrate that the Einstein relation for the diffusion of a particle in the random-energy landscape with the
Gaussian density of states is an exclusive one-dimensional property and does not hold in higher dimensions. We
also consider the analytical properties of the particle velocity and diffusivity for the limit of weak driving force and
establish a connection between these properties and dimensionality and spatial correlation of the random-energy
landscape.