
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.
6 pages with 1 figure
High Energy Physics - Lattice, Statistical Mechanics (cond-mat.stat-mech), High Energy Physics - Lattice (hep-lat), FOS: Physical sciences, Condensed Matter - Statistical Mechanics
High Energy Physics - Lattice, Statistical Mechanics (cond-mat.stat-mech), High Energy Physics - Lattice (hep-lat), FOS: Physical sciences, Condensed Matter - Statistical Mechanics
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