### Abstract

Original language | English |
---|---|

Article number | 046106 |

Journal | Physical Review E |

Volume | 67 |

DOIs | |

Publication status | Published - 14 Apr 2003 |

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### Bibliographical note

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

*Physical Review E*,

*67*, [046106]. https://doi.org/10.1103/PhysRevE.67.046106

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

Research output: Contribution to journal › Article

*Physical Review E*, vol. 67, 046106. https://doi.org/10.1103/PhysRevE.67.046106

}

TY - JOUR

T1 - Information geometry of the spherical model

AU - Janke, W.

AU - Johnston, D. A.

AU - Kenna, Ralph

N1 - The full text is also available from: http://de.arxiv.org/abs/cond-mat/0210571

PY - 2003/4/14

Y1 - 2003/4/14

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevE.67.046106

DO - 10.1103/PhysRevE.67.046106

M3 - Article

VL - 67

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

M1 - 046106

ER -