We discuss the critical behavior of nonequilibrium anisotropic systems, particularly the driven lattice gas and its variants. A large series of available numerical results depict a coherent picture consistent with specific predictions drawn from novel field theory and its renormalization group...

Oscillatory combustion regimes were experimentally investigated under the conditions of ignitable liquid boiling-up before the reaction front. Fluctuations with a power spectral density inversely proportional to frequency (1/f-noise) were observed and the power-law character of distribution...

A regime of a generation of fluctuations with 1/f power spectra under cavitation of liquids in an ultrasonic field has been found experimentally. The acoustic cavitation is accompanied by the formation of various spatial structures and scale-invariant distribution functions of fluctuations. It...

An analysis of master–slave hierarchy has been made in a system of nonlinear stochastic equations describing fluctuations with a 1/f spectrum at coupled nonequilibrium phase transitions. It is shown that for a system of stochastic equations there exist different probability distribution...

We use Monte Carlo simulation to study new features of a mass-aggregation model which undergoes a dynamical phase transition. The model is characterized by an aggregate phase where the mass distribution decays as a power law, in addition to the delta function peak at infinite mass. The...

The results of numerical investigation of the Brownian motion in a two-dimensional potential field formed under the coupling of phase transitions at the conditions of the criticality induced by white noise are presented. The suggested system of stochastic equations at the white noise intensity...

A study has been made on the statistics of fluctuations in a spatially distributed system, which describes the interaction of nonequilibrium phase transitions. It is shown that at a certain intensity of external white noise acting on phase transitions, the time and spatial spectra of...

We prove that games with absorbing states with compact action sets have a value.

We introduce an efficient cellular automaton for the coagulation–fission process with diffusion 2A→3A,2A→A in arbitrary dimensions. As the well-known Domany–Kinzel model it is defined on a tilted hypercubic lattice and evolves by parallel updates. The model exhibits a non-equilibrium...

The restricted diffusive pair contact process 2A→3A, 2A→∅ (PCPD) and the classification of its critical behavior continues to be a challenging open problem of non-equilibrium statistical mechanics. Recently, Kockelkoren and Chaté [Absorbing phase transition of branching-annihilating...