Nonequilibrium scaling explorations on a two-dimensional Z(5)-symmetric model.
We have investigated the dynamic critical behavior of the two-dimensional Z(5)-symmetric spin model by using short-time Monte Carlo (MC) simulations. We have obtained estimates of some critical points in its rich phase diagram and included, among the usual critical lines the study of first-order (weak) transition by looking into the order-disorder phase transition. In addition, we also investigated the soft-disorder phase transition by considering empiric methods. A study of the behavior of β/νz along the self-dual critical line has been performed and special attention has been devoted to the critical bifurcation point, or Fateev-Zamolodchikov (FZ) point. First, by using a refinement method and taking into account simulations out of equilibrium, we were able to localize parameters of this point. In a second part of our study, we turned our attention to the behavior of the model at the early stage of its time evolution in order to find the dynamic critical exponent z as well as the static critical exponents β and ν of the FZ point on square lattices. The values of the static critical exponents and parameters are in good agreement with the exact results, and the dynamic critical exponent z≈2.28 very close to the four-state Potts model (z≈2.29).
Instituto de Física, Universidade Federal do Rio Grande do Sul, Av. Bento Gonçalves, 9500 - CEP 91501-970, Porto Alegre, Rio Grande do Sul, Brazil.
Roberto
R
da Silva
Coordenação de Física, Universidade Federal de Goiás, Campus Jataí, BR 364, km 192, 3800 - CEP 75801-615, Jataí, Goiás, Brazil.
Henrique A
HA
Fernandes
Departamento de Física, Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto, Universidade de São Paulo, Avenida Bandeirantes, 3900 - CEP 14040-901, Ribeirão Preto, São Paulo, Brazil.
J R
JR
Drugowich de Felício