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.
|Number of pages||6|
|Journal||Physica A: Statistical Mechanics and its Applications|
|Publication status||Published - 1 May 2004|
|Event||Proceedings of the XVIII Max Born Symposium at Statistical Physics - Ladek Zdroj, Poland|
Duration: 22 Sep 2003 → 25 Sep 2003
- Information geometry
- Phase transitions