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We investigate the short-time universal behavior of the two dimensionalAshkin-Teller model at the Baxter line by performing time-dependent Monte CarloSimulations. First, as preparatory results, we obtain the critical parametersby searching the optimal power law decay of the magnetization. Thus, thedynamic critical exponents $\theta _{m}$ and $\theta _{p}$, related to themagnetic and electric order parameters, as well as the persistence exponent$\theta _{g}$, are estimated using heat-bath Monte Carlo simulations. Inaddition, we estimate the dynamic exponent $z$ and the static criticalexponents $\beta $ and $\nu $ for both order parameters. We propose a refinedmethod to estimate the static exponents that considers two different averages:one that combines an internal average using several seeds with another which istaken over geographic variations in the power laws. Moreover, we also performedthe bootstrapping method for a complementary analysis. Our results show thatthe ratio $\beta /\nu $ exhibits universal behavior along the critical linecorroborating the conjecture for both magnetization and polarization.

Non-equilibrium critical dynamics of the two-dimensional Ashkin-Teller model at the Baxter line