### 抜粋

Based on the connection between the Ising model and a correlated percolation model, we calculate the distribution function for the fraction [Formula Presented] of lattice sites in percolating clusters in subgraphs with n percolating clusters, [Formula Presented] and the distribution function for magnetization [Formula Presented] in subgraphs with n percolating clusters, [Formula Presented] We find that [Formula Presented] and [Formula Presented] have very good finite-size scaling behavior and that they have universal finite-size scaling functions for the model on square, plane triangular, and honeycomb lattices when aspect ratios of these lattices have the proportions [Formula Presented] The complex structure of the magnetization distribution function [Formula Presented] for the system with large aspect ratio could be understood from the independent orientations of two or more percolation clusters in such a system.

元の言語 | English |
---|---|

ページ（範囲） | 2716-2720 |

ページ数 | 5 |

ジャーナル | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

巻 | 60 |

発行部数 | 3 |

DOI | |

出版物ステータス | Published - 1999 1 1 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics

## フィンガープリント Cluster analysis and finite-size scaling for Ising spin systems' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

## これを引用

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*,

*60*(3), 2716-2720. https://doi.org/10.1103/PhysRevE.60.2716