We use Monte Carlo techniques and analytical methods to study the phase diagram of the M-component Widom-Rowlinson model on the bcc lattice: there are M species all with same fugacity z and a nearest-neighbor hard core exclusion between unlike particles. Simulations show that for M ⩾ 3 there...

We present molecular dynamics simulation results of quenches into the unstable region of a two-dimensional Lennard-Jones system. The evolution of the system from the non-equilibrium state into equilibrium was analyzed with a dynamical block analysis. This can lead to a new approach in the study...

The decay of metastable states is initiated by a nucleation process in which a free energy barrier is overcome, while in unstable states fluctuations can grow unaffected by such a barrier. The first part of this review considers the significance of the spinodal line separating the metastable and...

The kinetics of the formation of order is studied for both a system with non-conserved one-component order parameter and a binary mixture with conserved order parameter (“spinodal decomposition”). By a decoupling of two-point probabilities a closed kinetic equation for the structure factor...

When a magnetic Ising film is confined in a L×M geometry (L⪡M) short-range competing magnetic fields (h1) are applied at opposite walls along the M-direction, a (weakly rounded) localization–delocalization transition of the interface between domains of different orientation that runs...

In their comment to the paper “Theory of the evaporation/condensation transition of equilibrium droplets in finite volumes” [Physica A 319 (2003) 99], Biskup et al. claim that in finite systems at fixed density “the physical significance of the conjugate thermodynamic variable is of...

A phenomenological theory of phase coexistence of finite systems near the coexistence curve that occurs in the thermodynamic limit is formulated for the generic case of d-dimensional ferromagnetic Ising lattices of linear dimension L with magnetization m slightly less than mcoex. It is argued...

We present a Monte Carlo computer simulation study of phase transitions in a three-dimensional Ising/lattice gas model with nearest neighbor attractive coupling and confined to a slit-like capillary with absorbing walls. Data are generated for thicknesses D ⩽ 40 and are used to study the shift...

Monte Carlo simulations are presented for the kinetics of ordering of the two-dimensional nearest-neighbor Ising models in an L x M geometry with two free boundaries of length M ⪢ L. This geometry models a “terrace” of width L on regularly stepped surfaces, adatoms adsorbed on neighboring...

We consider the application of finite-size scaling methods to isothermal-isobaric (constant-NpT) simulations of pure continuum fluids. A finite-size scaling ansatz is made for the dependence of the relevant scaling operators on the particle number. To test the proposed scaling form, constant...