Analytic dynamics of one-dimensional particle system with strong interaction

Abstract

We study here the small time dynamics of $N$ electrons on the circle with Coul;omb repulsive interaction and study the series for the velocities (initially zero). The main result is the estimates of the convergence radius from below. We explain how this result is related to the problem of very fast establishing of direct electric current.

to appear in Mathematial Notes, 2012