Information Geometry and Phase Transitions

2004/01/07 by W. Janke, D. A. Johnston, R. Kenna · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #hep-lat

paper · pdf · doi:10.1016/j.physa.2004.01.023

published as Physica A336 (2004) 181 · 6 pages with 1 figure

arxiv created 2004/01/07 · arxiv updated 2009/12/01

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.

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