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 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.
- Publication:
-
Physica A Statistical Mechanics and its Applications
- Pub Date:
- May 2004
- DOI:
- 10.1016/j.physa.2004.01.023
- arXiv:
- arXiv:cond-mat/0401092
- Bibcode:
- 2004PhyA..336..181J
- Keywords:
-
- Information geometry;
- Phase transitions;
- Statistical Mechanics
- E-Print:
- 6 pages with 1 figure