### Abstract

We consider the two-dimensional (2D) random Ising model on a diagonal strip of the square lattice, where the bonds take two values, [Formula Presented] with equal probability. Using an iterative method, based on a successive application of the star-triangle transformation, we have determined at the bulk critical temperature the correlation length along the strip [Formula Presented] for different widths of the strip [Formula Presented] The ratio of the two lengths [Formula Presented] is found to approach the universal value [Formula Presented] for large L, independent of the dilution parameter [Formula Presented] With our method we have demonstrated with high numerical precision, that the surface correlation function of the 2D dilute Ising model is self-averaging, in the critical point conformally covariant and the corresponding decay exponent is [Formula Presented]

Original language | English |
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Pages (from-to) | 147-152 |

Number of pages | 6 |

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

Volume | 61 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 1 2000 |

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### ASJC Scopus subject areas

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