Translation-invariance of two-dimensional Gibbsian point processes
Probability
2007-06-26 v1 Mathematical Physics
math.MP
Abstract
The conservation of translation as a symmetry in two-dimensional systems with interaction is a classical subject of statistical mechanics. Here we establish such a result for Gibbsian particle systems with two-body interaction, where the interesting cases of singular, hard-core and discontinuous interaction are included. We start with the special case of pure hard core repulsion in order to show how to treat hard cores in general.
Keywords
Cite
@article{arxiv.0706.3637,
title = {Translation-invariance of two-dimensional Gibbsian point processes},
author = {Thomas Richthammer},
journal= {arXiv preprint arXiv:0706.3637},
year = {2007}
}