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.
|Journal||Journal of Statistical Mechanics: Theory and Experiment|
|State||Published - Apr 2022|
Bibliographical noteFunding 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.
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- classical phase transitions
- exact results
- phase diagrams