Information geometry of the spherical model

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

Research output: Contribution to journalArticle

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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
Publication statusPublished - 14 Apr 2003

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