The Mixed Spin 3 - Spin 3/2 Ferrimagnetic Ising Model on Cellular Automaton

TL;DR

This paper investigates the phase transitions and critical behavior of a mixed spin 3- spin 3/2 Ising model on a square lattice using cellular automaton simulations, revealing ferrimagnetic phases and universal critical exponents.

Contribution

It introduces a cellular automaton simulation approach to study the mixed spin Ising model and estimates critical exponents consistent with the 2D Ising universality class.

Findings

Identification of ferrimagnetic ground states.

Observation of compensation points at specific parameters.

Critical exponents match 2D Ising model values.

Abstract

The mixed spin 3- spin 3/2 Ising model has been simulated using cooling algorithm on cellular automaton (CA). The simulations have been made in the interval -6<=D<=6 for J=1 for the square lattices with periodic boundary conditions. The ground state phase diagram of the model has different type ferrimagnetic orderings. Through D/J=2 line, compensation points occurs at kT/J=0. The values of the critical exponents ( {\nu}, {\alpha}, {\beta} and {\gamma}) are estimated within the framework of the finite-size scaling theory and power law relations for selected D/J values (-2, 0, 1, 2 and 4). The estimated critical exponent values are in a good agreement with their universal values of the two dimensional Ising model.