Phase transitions in one-dimensional static Coulomb media
Mathematical Physics
2016-11-03 v1 Classical Analysis and ODEs
math.MP
Abstract
We consider configurations of charged particles on the interval with nearest neighbour Coulomb interaction and constant external force. For different values of external force we find 4 different phases of the asymptotic particle density for the configuration corresponding to the minimum of the energy.
Cite
@article{arxiv.1411.7652,
title = {Phase transitions in one-dimensional static Coulomb media},
author = {V. A. Malyshev},
journal= {arXiv preprint arXiv:1411.7652},
year = {2016}
}