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

TL;DR

This paper investigates the complex phase transition behaviors in a finite Z(3) spin model on a 3D lattice, revealing multiple types of transitions, resonance phenomena, and hybrid universality classes through numerical simulations.

Contribution

It uncovers the coexistence of different phase transition types and resonance phenomena in a finite Z(3) spin system, highlighting complex symmetry behaviors.

Findings

Existence of a second order phase transition with resonance phenomena

Hybrid universality class combining mean-field and 3D Ising behaviors

Presence of a weak first order transition via tricritical crossover

Abstract

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.