Information geometry and phase transitions

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

Research output: Contribution to journalArticle

53 Citations (Scopus)

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. © 2004 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)181-186
Number of pages6
JournalPhysica A: Statistical Mechanics and its Applications
Volume336
Issue number1-2
DOIs
Publication statusPublished - 1 May 2004
EventProceedings of the XVIII Max Born Symposium at Statistical Physics - Ladek Zdroj, Poland
Duration: 22 Sep 200325 Sep 2003

Keywords

  • Information geometry
  • Phase transitions

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