One-dimensional Coulomb multi-particle systems
Mathematical Physics
2016-11-08 v1 math.MP
Probability
Abstract
We consider the system of particles with equal charges and nearest neighbour Coulomb interaction on the interval. We study local properties of this system, in particular the distribution of distances between neighbouring charges. For zero temperature case there is sufficiently complete picture and we give a short review. For Gibbs distribution the situation is more difficult and we present two related results.
Keywords
Cite
@article{arxiv.1510.05280,
title = {One-dimensional Coulomb multi-particle systems},
author = {V. A. Malyshev and A. A. Zamyatin},
journal= {arXiv preprint arXiv:1510.05280},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1411.7652