## Abstract

We study the two-dimensional ±J Ising model, three-state Potts model and four-state Potts model by the numerical transfer matrix method to investigate the behaviour of the sample-to-sample fluctuations of the internal energy on the Nishimori line. The result shows a maximum at the multicritical point in all the models we investigated. The large sample-to-sample fluctuations of the internal energy as well as the existence of a singularity in these fluctuations imply that the bond configuration (or, equivalently, the distribution of frustrated plaquettes) may be experiencing a non-trivial change in its behaviour at the multicritical point. This observation is consistent with the picture that the phase transition at the multicritical point is of geometry-induced nature.

Original language | English |
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Pages (from-to) | 8171-8178 |

Number of pages | 8 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 35 |

Issue number | 39 |

DOIs | |

Publication status | Published - 2002 Oct 4 |

Externally published | Yes |

## ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)