Information geometry and phase transitions

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.

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Year of publication:	2004
Authors:	Janke, W. ; Johnston, D.A. ; Kenna, R.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 336.2004, 1, p. 181-186
Publisher:	Elsevier
Subject:	Information geometry \| Phase transitions

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010588688