The Dynamics of the intermittency maps reveal the existence of resonances phenomena, interesting hybrid states and the orders of the phase transitions in a finite Z(3) spin model in 3D Lattice

A numerical simulation using the chaotic Dynamics of intermittency at a finite size Z(3) spin system in a 3D lattice reveals: (a) the existence of a second order phase transition with a zone hysteresis characterized from resonances phenomena (b) An hybrid appearance of mean-field universality class and 3D Ising model universality class , all these inside the zone hysteresis (c) a weak first order phase transition through a tricritical crossover. So, a complicated behavior in Z(3) symmetry exists.

💡 Research Summary

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This paper investigates the critical behavior of a finite‑size three‑state (Z(3)) spin model defined on a three‑dimensional cubic lattice by combining conventional Metropolis Monte‑Carlo simulations with a dynamical analysis based on intermittent (type‑I) chaotic maps. The spin variables are taken as s(a)=exp(2πi a/3) with a = 0, 1, 2, and the nearest‑neighbour interaction is described by the action (1) = −βJ ∑ cos