2016/07/05 by J. Roberto Viana, Viana, J. Roberto, Octavio D. Rodrı́guez Salmon +3
Materials Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Material Dynamics and Properties #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1607.01270
openalex publication_date 2016/07/05 · openalex created_date 2016/07/22 · openalex updated_date 2026/07/28
We applied a mean-field approach associated to Monte Carlo simulations in order to study the spin-1 ferromagnetic Blume-Capel model in the square and the linear lattice. This new technique, which we call MFT-MC, determines the molecular field as the magnetization response of a Monte Carlo simulation. The resulting phase diagram is qualitatively correct, in contrast to effective-field approximations, in which the first-order line is not perpendicular to the anisotropy axis at low temperatures. Thermodynamic quantities, as the entropy and the specific heat curves can be obtained so as to analyze the nature of the phase transition points. Also, the possibility of using larger sizes constitutes an improvement regarding other mean-field approximations that use clusters.