Information geometry and phase transitions

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

doi:10.1016/j.physa.2004.01.023

Information geometry and phase transitions

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

Research output: Contribution to journal › Article › peer-review

69 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 language	English
Pages (from-to)	181-186
Number of pages	6
Journal	Physica A: Statistical Mechanics and its Applications
Volume	336
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physa.2004.01.023
Publication status	Published - 1 May 2004
Event	Proceedings of the XVIII Max Born Symposium at Statistical Physics - Ladek Zdroj, Poland Duration: 22 Sept 2003 → 25 Sept 2003

Keywords

Information geometry
Phase transitions

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10.1016/j.physa.2004.01.023

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AU - Johnston, D. A.

AU - Kenna, R.

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N2 - 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.

AB - 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.

KW - Information geometry

KW - Phase transitions

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U2 - 10.1016/j.physa.2004.01.023

DO - 10.1016/j.physa.2004.01.023

M3 - Article

SN - 0378-4371

VL - 336

SP - 181

EP - 186

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1-2

T2 - Proceedings of the XVIII Max Born Symposium at Statistical Physics

Y2 - 22 September 2003 through 25 September 2003

ER -

Information geometry and phase transitions

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Keywords

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