### Abstract

The author studies the random bond Ising model on pseudolattices containing triangles. By using the star-triangle transformation, the problem can be mapped onto a Bethe lattice where the solution to the random bond problem is well known. The solution is examined for the dilute ferromagnet in detail. It is shown that the transition temperature goes to zero at the percolation concentration as one would expect.

Original language | English (US) |
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Article number | 025 |

Pages (from-to) | 955-962 |

Number of pages | 8 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 11 |

Issue number | 5 |

DOIs | |

State | Published - Dec 1 1978 |

### ASJC Scopus subject areas

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

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## Cite this

Thorpe, M. F. (1978). The random Ising model on cacti lattices.

*Journal of Physics A: Mathematical and General*,*11*(5), 955-962. [025]. https://doi.org/10.1088/0305-4470/11/5/025