Information geometry of the spherical model

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

Research output: Contribution to journalArticle

27 Citations (Scopus)
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Abstract

Motivated by the observation that geometrizing statistical mechanics offers an interesting alternative to more standard approaches, we calculate the scaling behavior of the curvature R of the information geometry metric for the spherical model. We find that R∼ε−2, where ε=βc−β is the distance from criticality. The discrepancy from the naively expected scaling R∼ε−3 is explained and compared with that for the Ising model on planar random graphs, which shares the same critical exponents.
Original languageEnglish
Article number046106
JournalPhysical Review E
Volume67
DOIs
Publication statusPublished - 14 Apr 2003

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Information Geometry
Spherical Model
Scaling Behavior
Criticality
Random Graphs
Statistical Mechanics
Planar graph
Critical Exponents
Ising Model
Discrepancy
Curvature
Scaling
scaling
Calculate
Metric
Alternatives
geometry
statistical mechanics
Ising model
curvature

Bibliographical note

The full text is also available from: http://de.arxiv.org/abs/cond-mat/0210571

Cite this

Information geometry of the spherical model. / Janke, W.; Johnston, D. A.; Kenna, Ralph.

In: Physical Review E, Vol. 67, 046106, 14.04.2003.

Research output: Contribution to journalArticle

Janke, W. ; Johnston, D. A. ; Kenna, Ralph. / Information geometry of the spherical model. In: Physical Review E. 2003 ; Vol. 67.
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