### 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) |
---|---|

Article number | 025 |

Pages (from-to) | 955-962 |

Number of pages | 8 |

Journal | Journal of Physics A: General Physics |

Volume | 11 |

Issue number | 5 |

DOIs | |

State | Published - 1978 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*Journal of Physics A: General Physics*,

*11*(5), 955-962. [025]. https://doi.org/10.1088/0305-4470/11/5/025

**The random Ising model on cacti lattices.** / Thorpe, Michael.

Research output: Contribution to journal › Article

*Journal of Physics A: General Physics*, vol. 11, no. 5, 025, pp. 955-962. https://doi.org/10.1088/0305-4470/11/5/025

}

TY - JOUR

T1 - The random Ising model on cacti lattices

AU - Thorpe, Michael

PY - 1978

Y1 - 1978

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=36149046116&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36149046116&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/11/5/025

DO - 10.1088/0305-4470/11/5/025

M3 - Article

AN - SCOPUS:36149046116

VL - 11

SP - 955

EP - 962

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 5

M1 - 025

ER -