Information Geometry and Phase Transitions

Details Information Geometry and Phase Transitions Information Geometry and Phase Transitions

2004-01-07

arxiv.org/abs/cond-mat/0401092v1

Physica A336 (2004) 181

Physics

Condensed Matter

Statistical Mechanics

6 pages with 1 figure

Scientific paper

10.1016/j.physa.2004.01.023

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.

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