A word on thermal equilibrium and fluctuations of two-dimensional Coulomb systems
Yacin Ameur
TL;DR
This paper investigates the relationship between two-dimensional Coulomb systems and their thermal equilibrium measures, highlighting discrepancies with one-particle distributions to deepen understanding of their statistical behavior.
Contribution
It identifies and discusses specific discrepancies between the thermal equilibrium measure and one-particle distributions in 2D Coulomb systems.
Findings
Discrepancies between thermal equilibrium measure and one-particle distribution
Insights into the statistical properties of 2D Coulomb systems
Clarification of the relationship between microscopic and macroscopic descriptions
Abstract
In this note we examine the relationship between two-dimensional Coulomb systems and the thermal equilibrium measure, such as defined in the lecture notes [arXiv:2407.21194v1], pointing out some of its discrepancies with respect to the one-particle distribution.
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