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>

We study a dynamical Ising-like model of agents' opinions (buy or sell) with learning, in which the coupling coefficients are re-assessed continuously in time according to how past external news (time-varying magnetic field) have explained realized market returns. By combining herding, the...

Using the Monte Carlo simulation method for bosonic reaction-diffusion systems introduced recently [S.-C. Park, Phys. Rev. E <Emphasis Type="Bold">72, 036111 (2005)], one dimensional bosonic models are studied and compared to the corresponding Langevin equations derived from the coherent state path integral...</emphasis>

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...