Changeover phenomenon in randomly colored Potts models

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A hybrid Potts model where a random concentration p of the spins assume q0 states and a random concentration 1 − p of the spins assume q > q0 states is introduced. It is known that when the system is homogeneous, with an integer spin number q0 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 languageEnglish
Article number043205
JournalJournal of Statistical Mechanics: Theory and Experiment
Issue number4
StatePublished - 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


  • classical phase transitions
  • exact results
  • phase diagrams


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