Short-time dynamics of random-bond Potts ferromagnet with continuous self-dual quenched disorders

We present Monte Carlo simulation results of random-bond Potts ferromagnet with the Olson-Young self-dual distribution of quenched disorders in two-dimensions. By exploring the short-time scaling dynamics, we find universal power-law critical behavior of the magnetization and Binder cumulant at the critical point, and thus obtain estimates of the dynamic exponent $z$ and magnetic exponent $\eta$, as well as the exponent $\theta$. Our special attention is paid to the dynamic process for the $q$=8 Potts model.