Information geometry and phase transitions
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 geometrisation, the scalar curvature, R, plays a central role. A noninteracting 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 statisticalmechanical models.
 Publication:

Physica A Statistical Mechanics and its Applications
 Pub Date:
 May 2004
 DOI:
 10.1016/j.physa.2004.01.023
 arXiv:
 arXiv:condmat/0401092
 Bibcode:
 2004PhyA..336..181J
 Keywords:

 Information geometry;
 Phase transitions;
 Statistical Mechanics
 EPrint:
 6 pages with 1 figure