We report on a Monte Carlo study of the differential heat of adsorption on, square, triangular and honeycomb two-dimensional lattices. The influence of the connectivity on the main scaling parameters in the critical regime is analyzed. The simulation data are compared with mean-field and...

The phase diagram of the q-state Potts model in fractal dimensions is studied with the help of Wang–Landau Monte Carlo simulations on Sierpinski and Menger fractal structures. A particular attention is paid to first order transitions just above the border separating the second order phase...

The occurrence of mesoscopic fluctuations in statistical systems implies, from the point of view of dynamical theory, the existence of local instabilities. However, the presence of such fluctuations can make a system, as a whole, more stable from the thermodynamic point of view. Thus, in many...

A model of a ferromagnet is considered, in which there arise mesoscopic fluctuations of paramagnetic phase. The presence of these fluctuations diminishes the magnetization of the ferromagnet, softens the spin-wave spectrum, increases the spin-wave attenuation, shortens the magnon free path,...

Optical tweezers have recently been used to locally induce liquid–liquid phase separations and to nucleate a single domain inside the trap [H. Masuhara and co-workers, J. Phys. Chem. B 101 (1997) 5900; Langmuir 13 (1997) 414; Bull. Chem. Soc. Japan 69 (1996) 59]. We investigate theoretically these...

We use the Migdal–Kadanoff renormalization group technique to study the spin-3/2 Blume–Capel model under a random crystal field, in the two- and three-dimensional cases. Studying the fixed points and the phase diagrams established, we find interesting results allowing us to understand the...

In this work we study an axial next-nearest neighbor Ising (ANNNI) model with spin 1 and crystal-field anisotropy. We discuss its properties and construct its phases diagrams within the mean-field approximation. In particular, we show that modulated phases with zero magnetization planes, or...

The aim of this talk was to review recent progress in theoretical modeling of pattern formation during catalytic chemical reactions on metal surfaces. The attention was focused on two kinds of nonlinear phenomena at different characteristic length scales. The reaction-diffusion models well...

An approach is developed, combining the ideas of quantum statistical mechanics and multichannel theory of scattering, for treating statistical systems whose constituents can possess different bound states realized as compact clusters. The main principles for constructing multichannel cluster...

A lattice-gas model, which has conductors connecting each pair of occupied nearest-neighbour sites, is studied using Monte-Carlo simulations. At low temperatures, the lattice-gas atomic density approaches unity and the system is in a high-conductivity state. At high temperatures, the lattice-gas...