Nonequilibrium model on Archimedean lattices

• Autorzy: F. Lima
• Języki publikacji: EN

Abstrakty

EN

On (4, 6, 12) and (4, 82) Archimedean lattices, the critical properties of the majority-vote model are considered and studied using the Glauber transition rate proposed by Kwak et al. [Kwak et al., Phys. Rev. E, 75, 061110 (2007)] rather than the traditional majority-vote with noise [Oliveira, J. Stat. Phys. 66, 273 (1992)]. We obtain T c and the critical exponents for this Glauber rate from extensive Monte Carlo studies and finite size scaling. The calculated values of the critical temperatures and Binder cumulant are T c = 0.651(3) and U 4* = 0.612(5), and T c = 0.667(2) and U 4* = 0.613(5), for (4, 6, 12) and (4, 82) lattices respectively, while the exponent (ratios) β/ν, γ/ν and 1/ν are respectively: 0.105(8), 1.48(11) and 1.16(5) for (4, 6, 12); and 0.113(2), 1.60(4) and 0.84(6) for (4, 82) lattices. The usual Ising model and the majority-vote model on previously studied regular lattices or complex networks differ from our new results.

Słowa kluczowe

EN

Monte Carlo simulation; critical exponents; phase transition; non-equilibrium

• Czasopismo: Open Physics
• Rocznik: 2014
• Tom: 12
• Numer: 3
• Strony: 185-191

Daty

wydano

2014-03-01

online

2014-03-13

Twórcy

autor

F. Lima

• Dietrich Stauffer Computational Physics Lab, Departamento de Física, Universidade Federal do Piauí, 64.049-550, Teresina, Piauí, Brazil,

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Identyfikatory

DOI

10.2478/s11534-014-0435-1