Variance of voltages in a lattice Coulomb gas
Probability
2022-01-05 v2 Mathematical Physics
math.MP
Abstract
We study the behavior of the variance of the difference of energies for putting an additional electric unit charge at two different locations in the two-dimensional lattice Coulomb gas in the high-temperature regime. For this, we exploit the duality between this model and a discrete Gaussian model. Our estimates follow from a spontaneous symmetry breaking in the latter model.
Keywords
Cite
@article{arxiv.2103.11985,
title = {Variance of voltages in a lattice Coulomb gas},
author = {Diana Conache and Markus Heydenreich and Franz Merkl and Silke W. W. Rolles},
journal= {arXiv preprint arXiv:2103.11985},
year = {2022}
}
Comments
12 pages, 1 figure