We review the application of field-theoretic renormalization group (RG) methods to the study
of fluctuations in reaction–diffusion problems. We first investigate the physical origin of …

This review provides a pedagogic and self-contained introduction to master equations and
to their representation by path integrals. Since the 1930s, master equations have served as …

Selected recent contributions involving fluctuating velocity fields to the rapidly developing
domain of stochastic field theory are reviewed. Functional representations for solutions of …

By the means of the method of stochastization of onestep processes we get the simplified
mathematical model of the original stochastic system. We can explore these models by …

Background. Presentation of the probability as an intrinsic property of the nature leads
researchers to switch from deterministic to stochastic description of the phenomena. The …

Reaction diffusion systems describe the behaviour of dynamic, interacting, particulate
systems. Quantum stochastic processes generalise Brownian motion and Poisson …

A quantum field model that incorporates Bose-condensed systems near their phase
transition into a superfluid phase and velocity fluctuations is proposed. The stochastic Navier …

The single-species annihilation reaction A+ A→ O/is studied in the presence of random
advecting field. In order to determine possible infrared behaviour of the system all stable …

The direct bond percolation process (Gribov process) is studied in the presence of random
velocity fluctuations generated by the Gaussian self-similar ensemble with finite correlation …

Using the perturbative renormalization group, we study the influence of a random velocity
field on the kinetics of the single-species annihilation reaction A+ A→ Ø at and below its …