Classical Motion in Random Potentials

TL;DR

This paper investigates how a classical particle moves in a random potential, focusing on the distribution of its long-term velocities and whether its motion exhibits ergodic behavior over time.

Contribution

It provides new insights into the asymptotic velocity distribution and ergodic properties of particles in random potentials.

Findings

Analysis of velocity distribution in random potentials

Results on ergodicity of classical motion

Conditions for asymptotic behavior

Abstract

We consider the motion of a classical particle under the influence of a random potential on R^d, in particular the distribution of asymptotic velocities and the question of ergodicity of time evolution.