Information geometry and phase transitions

W. Janke, D.A. Johnston and R. Kenna

Physica A: Statistical Mechanics and its Applications, 2004, vol. 336, issue 1, 181-186

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.

Keywords: Information geometry; Phase transitions (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:336:y:2004:i:1:p:181-186

DOI: 10.1016/j.physa.2004.01.023

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