Nonequilibrium critical dynamics of the two-dimensional Ashkin-Teller model at the Baxter line
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2017
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We investigate the short-time universal behavior of the two-dimensional Ashkin-Teller model at the Baxter
line by performing time-dependent Monte Carlo simulations. First, as preparatory results, we obtain the critical
parameters by searching the optimal power-law decay of the magnetization. Thus, the dynamic critical exponents
θm and θp, related to the magnetic and electric order parameters, as well as the persistence exponent θg, are
estimated using heat-bath Monte Carlo simulations. In addition, we estimate the dynamic exponent z and the
static critical exponents β and ν for both order parameters. We propose a refined method to estimate the static
exponents that considers two different averages: one that combines an internal average using several seeds with
another, which is taken over temporal variations in the power laws. Moreover, we also performed the bootstrapping
method for a complementary analysis. Our results show that the ratio β/ν exhibits universal behavior along the
critical line corroborating the conjecture for both magnetization and polarization.
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FERNANDES, H. A. et al. Nonequilibrium critical dynamics of the two-dimensional Ashkin-Teller model at the Baxter line. Physical Review E, Ridge, v. 95, e042105, 2017. DOI: 10.1103/PhysRevE.95.042105. Disponível em: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.95.042105. Acesso em: 11 set. 2023.