federico Ettori — Politecnico di Milano #
The effect of anisotropy and quenched randomness on dynamic phase transition for the two-dimensional Ising model  #
We investigate the dynamic properties of the two-dimensional Ising model with anisotropy or quenched defects. Perturbations in system homogeneity significantly impact the dynamical properties, generally favouring the dynamic disordered phase. We analyse separately the two models. For the anisotropic case, the dynamic critical temperature shares similar anisotropic behaviour to the static critical temperature (associated with the ferromagnetic-paramagnetic phase transition), and it goes to zero in the fully anisotropic case. For the model with quenched defects, the dynamic critical temperature decreases linearly with increasing defect fraction. We also find a good correlation between some suitably defined geometric metrics related to quenched defects and the dynamic properties of the system, such as dynamic susceptibility and critical temperature. These geometric metrics prove instrumental in understanding and forecasting the dynamic behaviour in these complex systems.