Author:
Schreiber Nir,Cohen Reuven,Amir Gideon,Haber Simi
Abstract
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.
Subject
Statistics, Probability and Uncertainty,Statistics and Probability,Statistical and Nonlinear Physics
Cited by
3 articles.
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