An introductory review of the Monte Carlo method for the statistical mechanics of condensed
matter systems is given. Basic principles (random number generation, simple sampling …

We review the present status of applications of integral equation theories (IETs) for the radial
distribution function g (r), to the determination of phase diagrams and stability conditions of …

Motility-induced phase separation (MIPS), the phenomenon in which purely repulsive active
particles undergo a liquid-gas phase separation, is among the simplest and most widely …

Meticulously prepared, this reference offers an overview of achieved in gas-solid (G/S),
liquid-solid (L/S), and gas-liquid (G/L) adsorption research. It emphasizes the interpretation …

Entropy inequalities, correlation functions, couplings between stochastic processes are
powerful techniques which have been extensively used to give arigorous foundation to the …

We study active Brownian particles as a paradigm for a genuine nonequilibrium phase
transition requiring steady driving. Access to the critical point in computer simulations is …

We report an extensive Monte Carlo study of the density and energy fluctuations in a 2D
Lennard-Jones fluid, within the grand-canonical ensemble. The results are analyzed within …

The authors develop a finite-size-scaling theory describing the joint density and energy
fluctuations in a near-critical fluid. As a result of the mixing of the temperature and chemical …

We perform large-scale computer simulations of an off-lattice two-dimensional model of
active particles undergoing a motility-induced phase separation (MIPS) to investigate the …

Filamentous cyanobacteria can show fascinating examples of nonequilibrium self-
organization, which, however, are not well understood from a physical perspective. We …