The non-equilibrium dynamics of the kinetic spherical model with a non-conserved order-parameter, quenched to T≤T<Subscript>c</Subscript> from a fully disordered initial state, is studied at its upper critical dimension d=d<Superscript>*</Superscript>=4. In the scaling limit where both the waiting time s and the observation time t are large...</superscript></subscript>

The one-dimensional Domany-Kinzel cellular automaton is investigated by two numerical approaches: (i) the spontaneous-search method, which is a method appropriated for a search of criticality; (ii) short-time dynamics. Both critical frontiers of the system are investigated, namely, the one...

We implement the damage spreading technique on 2-dimensional isotropic and anisotropic Bak-Sneppen models. Our extensive numerical simulations show that there exists a power-law sensitivity to the initial conditions at the statistically stationary state (self-organized critical state)....

We present numerical investigations of the short-time dynamics at criticality in the 1D Potts model with power-law decaying interactions of the form 1/r<Superscript>1+σ</Superscript>. The scaling properties of the magnetization, autocorrelation function and time correlations of the magnetization are studied. The...</superscript>