## Abstract

A hybrid Potts model where a random concentration p of the spins assume q_{0} states and a random concentration 1 − p of the spins assume q > q_{0} states is introduced. It is known that when the system is homogeneous, with an integer spin number q_{0} or q, it undergoes a second or a first order transition, respectively. It is argued that there is a concentration p^{∗} such that the transition nature of the model is changed at p^{∗}. This idea is demonstrated analytically and by simulations for two different types of interaction: the usual square lattice nearest neighboring and mean field (MF) all-to-all. Exact expressions for the second order critical line in concentration-temperature parameter space of the MF model together with some other related critical properties, are derived.

Original language | English |
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Article number | 043205 |

Journal | Journal of Statistical Mechanics: Theory and Experiment |

Volume | 2022 |

Issue number | 4 |

DOIs | |

State | Published - Apr 2022 |

### Bibliographical note

Funding Information:N S acknowledges support by the Israel Science Foundation (ISF), under Grant No. 977/17. G A acknowledges support by the ISF, under Grant No. 957/20.

Publisher Copyright:

© 2022 IOP Publishing Ltd and SISSA Medialab srl

## Keywords

- classical phase transitions
- exact results
- phase diagrams