Self-organized circular flow of classical point particles
Mathematical Physics
2016-11-02 v1 Classical Analysis and ODEs
math.MP
Abstract
We consider newtonian dynamics of charged particles on the circle with nearest neigbour interaction with Coulomb repulsive potential . Also there is an external accelerating force which is nonzero only on a small part of the circle. We construct homogeneous solutions where the velocities of all particles are approximately equal and their density is approximately uniform. This gives a qualitative mathematical model for some features of the direct electric current (DC), in agreement with a suggestion by R. Feynman.
Cite
@article{arxiv.1209.2289,
title = {Self-organized circular flow of classical point particles},
author = {V. A. Malyshev},
journal= {arXiv preprint arXiv:1209.2289},
year = {2016}
}