One-dimensional Coulomb multi-particle systems
V.A. Malyshev, A.A. Zamyatin
TL;DR
This paper investigates the local properties of one-dimensional Coulomb systems with equal charges, focusing on the distribution of neighboring distances at zero temperature and under Gibbs distribution, highlighting differences in understanding.
Contribution
It provides a comprehensive review of zero temperature behavior and presents new results for Gibbs distribution in one-dimensional Coulomb multi-particle systems.
Findings
Complete description of zero temperature case
New results on distribution of distances under Gibbs distribution
Insights into local properties of Coulomb systems
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.
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