The effect of the heating rate on the order to order phase transition

TL;DR

This study investigates how different heating rates influence the order of the ferromagnetic to ferromagnetic phase transition in the spin-1 Ising (BEG) model, revealing that transition order varies with heating rate.

Contribution

It introduces a cellular automaton heating algorithm to analyze the effect of heating rate on phase transition order in the BEG model, highlighting the transition's dependence on heating conditions.

Findings

Transition order varies with heating rate, from second to first order.

The phase transition type is sensitive to heating rate within the specified parameter interval.

Universality class and transition nature depend on the heating protocol.

Abstract

The simple cubic spin-1 Ising (BEG) model exhibits the ferromagnetic (F) - ferromagnetic (F) phase transition at low temperature region for the interval 1.40<d=D/J<1.48 at k=K/J=-0.5. The degree of the F-F phase transtion determines the special point on the (kT/J, d) phase diagram In this paper, the critical behavior of the ferromagnetic (F) - ferromagnetic (F) phase transition has been investigated for different heating rates using the cellular automaton (CA) heating algorithm. The variations with heating rate for the F-F phase transition order are quite important at the creation of phase diagrams. Therefore, the universality class and the type of ferromagnetic (F) - ferromagnetic (F) phase transition have been researched using the finite - size scaling theory, the power law relations and the probability distributions. The results show that the F-F phase transition can be the second order, the first order or the weak first order depending on the heating rate in the interval 1.40<d<1.48 for k=-0.5.