Information Geometry and Phase Transitions
Statistical Mechanics
2009-11-10 v1 High Energy Physics - Lattice
Abstract
The introduction of a metric onto the space of parameters in models in Statistical Mechanics and beyond gives an alternative perspective on their phase structure. In such a geometrization, the scalar curvature, R, plays a central role. A non-interacting model has a flat geometry (R=0), while R diverges at the critical point of an interacting one. Here, the information geometry is studied for a number of solvable statistical-mechanical models.
Cite
@article{arxiv.cond-mat/0401092,
title = {Information Geometry and Phase Transitions},
author = {W. Janke and D. A. Johnston and R. Kenna},
journal= {arXiv preprint arXiv:cond-mat/0401092},
year = {2009}
}
Comments
6 pages with 1 figure