First Order Phase Transition in the 3-dimensional Blume-Capel Model on a Cellular Automaton

Abstract

The first order phase transition of the three-dimensional Blume Capel are investigated using cooling algorithm which improved from Creutz Cellular Automaton for the D/J=2.9 parameter value in the first order phase transition region. The analysis of the data using the finite-size effect and the histogram technique indicate that the magnetic susceptibility maxima and the specific heat maxima increase with the system volume (Ld) at % D/J=2.9.

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