Information geometry of the spherical model
نویسندگان
چکیده
منابع مشابه
The Information Geometry of the Spherical Model
Motivated by previous observations that geometrizing statistical mechanics offers an interesting alternative to more standard approaches, we have recently calculated the curvature (the fundamental object in this approach) of the information geometry metric for the Ising model on an ensemble of planar random graphs. The standard critical exponents for this model are α = −1, β = 1/2, γ = 2 and we...
متن کاملInformation geometry of the spherical model.
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 approximately epsilon(-2), where epsilon=beta(c)-beta is the distance from criticality. The discrepancy from the naively expected scaling...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2003
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.67.046106