Simulation of Spin-3/2 Blume—Capel Model on a Cellular Automaton with Heating and Cooling Algorithm

Abstract

The spin-3/2 Blume—Capel model is studied using the heating and cooling algorithms improved from the Creutz cellular automaton (CCA). The calculations are done on various sizes of the simple cubic lattice in the 0 ≤ D/J ≤ 5 parameter region. The phase diagram of the model and temperature variation of the thermodynamic quantities are obtained. We confirm the existence of a critical end point within the heating calculations. However, in contrast to the heating calculations, we do not obtain the first-order line at low temperature with cooling algorithm calculations. The results are compared with those of other theories.

Magnetic properties of the bond and crystal field dilution spin-3/2 Blume–Capel model in an external magnetic field

“…With more and more attention to materials consisting of spin-3/2 atoms, many models have dealt with them, such as Blume-Capel model [1,2], Blume-Emery-Griffiths model [3,4], transverse Ising model [5,6], mixed Ising model [7,8], isotropic non-Heisenberg magnet [9] etc. Hence, the study of spin-3/2 materials has become a subject of wide discussions.…”

“…A variety of methods has been used to study the spin-3/2 BCM, i.e. mean field approximation [12], transfer matrix technique [13], finite-size scaling [14,15], Monte Carlo simulations [12,15], effective field theory [16,17], cluster variation method [18], thermodynamically self-consistent theory [19], the heating and cooling algorithms [2], exact recursion method [20,21] and so on.…”