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Advances in Mathematical Physics
Volume 2015 (2015), Article ID 857846, 9 pages
http://dx.doi.org/10.1155/2015/857846
Research Article

One-Dimensional Coulomb Multiparticle Systems

Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Leninskie Gory, Main Building 1, Moscow 119991, Russia

Received 19 August 2015; Accepted 27 September 2015

Academic Editor: Takayuki Miyadera

Copyright © 2015 V. A. Malyshev and A. A. Zamyatin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.