An efficient determination of the critical temperature of the Blume-Capel model

• Published in: Journal of the Korean Physical Society Vol. 62; no. 6; pp. 861 - 865
• Main Authors: Ryu, Seol, Kwak, Wooseop
• Format: Journal Article
• Language: English
• Published: Seoul The Korean Physical Society 01-03-2013; 한국물리학회
• Subjects: Mathematical and Computational Physics; Particle and Nuclear Physics; Physics; Physics and Astronomy; Theoretical; 물리학; Wang-Landau sampling; Critical temperature; Crystal field; Blume-Capel model
• ISSN: 0374-4884; 1976-8524
• DOI: 10.3938/jkps.62.861

We determinte the critical temperature of the spin-1 Blume-Capel (BC) model by using the derivative of the free energy with respect to the crystal field and call this quantity the “
preference
” parameter. We carry out simulations of the BC model on a two-dimensional square lattice by using the Wang-Landau sampling method. We measure the susceptibility and the critical temperature of the BC model by using the preference parameter and compare them with those obtained by using the magnetization. We find that the preference parameter works well for the BC model and improves the simulation performance.