### Abstract

The phase transition in the q-state Potts model with homogeneous ferromagnetic couplings, was studied. The focus was on the phenomenon in which the phase transition is strongly first order for large q, while it is rounded in the presence of quenched disorder. This phenomenon was analyzed on different two-dimensional lattices by using the fact that the partition function of the model is dominated by a single diagram of the high-temperature expansion. The results show that at the phase transition point, the dominant diagram percolates and the total magnetic moment is related to the size of the percolating cluster.

Original language | English |
---|---|

Article number | 056112 |

Pages (from-to) | 056112-1-056112-11 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 69 |

Issue number | 5 1 |

Publication status | Published - May 1 2004 |

### ASJC Scopus subject areas

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

## Fingerprint Dive into the research topics of 'Disorder-induced rounding of the phase transition in the large-q-state Potts model'. Together they form a unique fingerprint.

## Cite this

Mercaldo, M. T., D'Auriac, J. C. A., & Iglói, F. (2004). Disorder-induced rounding of the phase transition in the large-q-state Potts model.

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*,*69*(5 1), 056112-1-056112-11. [056112].