Topology and Phase Transitions: Theorem on a necessary relation
Mathematical Physics
2007-05-23 v5 Statistical Mechanics
High Energy Physics - Theory
Differential Geometry
Geometric Topology
math.MP
Abstract
An emended and improved version of the present paper has been archived in math-ph/0505057, and a preliminary account of its content has been published in Phys.Rev.Lett. 92, 60601, (2004). Moreover, in order to prove the relevance of topology for phase transition phenomena in a broad domain of physically interesting cases, we have proved another theorem which is reported in math-ph/0505058 and which is crucially based on the result of the paper archived in math-ph/0505057.
Cite
@article{arxiv.math-ph/0305032,
title = {Topology and Phase Transitions: Theorem on a necessary relation},
author = {Roberto Franzosi and Marco Pettini and Lionel Spinelli},
journal= {arXiv preprint arXiv:math-ph/0305032},
year = {2007}
}
Comments
This paper has been superseded by math-ph/0505057 and math-ph/0505058