The formation of topological defects after a symmetry-breaking phase transition is an
overarching phenomenon that encodes the underlying dynamics. The Kibble–Zurek …

We introduce a novel variance-reducing Monte Carlo algorithm for accurate determination of
correlation times. We apply this method to two-dimensional Ising systems with sizes up to …

The simplest topologically ordered phase in 2+ 1 D is the deconfined phase of Z 2 gauge
theory (realized in the toric code, for example). This phase permits a duality that exchanges …

Using damage spreading and heat bath dynamics, we study the Ising model in 2 and 3
dimensions with non-conservative dynamics. Our algorithm differs in some important points …

Based on the scaling relation for the dynamics at the early time, a new method is proposed
to measure both the static and dynamic critical exponents. The method is applied to the two …

From the non-equilibrium critical relaxation study of the two-dimensional Ising model, the
dynamical critical exponent z is estimated to be 2.165±0.010 for this model. The relaxation in …

The recent strides which have been made in the use of computer simulations to study phase
transitions and critical phenomena are reviewed. We describe how the use of a combination …

We calculate the dynamical critical exponent z for 2d and 3d Ising universality classes by
means of minimally subtracted five-loop ε expansion obtained for the one-component model …

We study how the Monte Carlo simulations of the critical dynamics of two-dimensional Ising
lattices are affected by the quality (as compared to true randomness) of the pseudo …

We study purely dissipative relaxational dynamics in the three-dimensional Ising universality
class. To this end, we simulate the improved Blume-Capel model on the simple cubic lattice …