The decay of cluster numbers ns above the percolation threshold is slightly more compatible with log(ns) being proportional to −s6/7 than to −s for lattice sizes up to 207.

Properties of the self-adjusted Monte Carlo algorithm applied to 2d Ising ferromagnet are studied numerically. The endogenous feedback form expressed in terms of the instant running averages is suggested in order to generate a biased random walk of the temperature that converges to criticality...

Through Monte Carlo Simulation, the well-known majority-vote model has been studied with noise on directed random graphs. In order to characterize completely the observed order–disorder phase transition, the critical noise parameter qc, as well as the critical exponents β/ν, γ/ν and 1/ν...

Ordering processes in fcc-alloys with composition A3B (like Cu3Au,Cu3Pd,CoPt3, etc.) are investigated by Monte Carlo simulation within a class of lattice models based on nearest-neighbor (NN) and second-neighbor (NNN) interactions. Using an atom–vacancy exchange algorithm, we study the growth...

Non-specific lipid-mediated interactions between two integral membrane proteins have been investigated using Monte-Carlo simulations. We have found two different ranges of attraction. A depletion-induced attraction in the range rσL, where σL is the diameter of a lipid and r is the distance...

Molecular dynamics and Monte Carlo techniques are employed for the study of binary Lennard-Jones fluids. Systematic comparisons between the predictions of both techniques are discussed, with particular emphasis on the dependency of the structural properties with respect to temperature and...

In the Cont–Bouchaud model [cond-mat/9712318] of stock markets, percolation clusters act as buying or selling investors and their statistics controls that of the price variations. Rather than fixing the concentration controlling each cluster connectivity artificially at or close to the...

We present results of the non-linear dynamic susceptibility χ(t) in a mean field Potts glass from simulations in a wide range of temperatures above the theoretically predicted dynamical transition, for various system sizes up to 2560 spins. χ(t) has a maximum, with a height that diverges like...

Using a kinetic Monte Carlo method, we simulate binary film (A0.5B0.5/A) growth on an L×L square lattice with the focus on the domain growth behaviour. We compute the average domain area, A(t), as a measure of domain size. For a sufficiently large system, we find that A(t) grows with a power...

The formation of the gel structure of a finite set of inorganic particles interacting via long range potentials is studied via Monte Carlo simulations for different conditions of temperature and concentration. We found that there are certain specific conditions wherein gelation can occur....