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 …

Aimed at graduate students, this book explores some of the core phenomena in non-
equilibrium statistical physics. It focuses on the development and application of theoretical …

We study the reaction front for the process A+ B→ C in which the reagents move
subdiffusively. Our theoretical description is based on a fractional reaction-subdiffusion …

Chemical reactions can interplay with hydrodynamic flows to generate various complex
phenomena. Because of their relevance in many research areas, chemically-induced …

Abstract The A+ B→⊘ diffusion-limited reaction, with equal initial densities a (0)= b (0)= n 0,
is studied by means of a field-theoretic renormalization group formulation of the problem. For …

Morphogens are proteins, often produced in a localized region, whose concentrations
spatially demarcate regions of differing gene expression in developing embryos. The …

A dynamic reaction zone is produced in the A+B→ C reaction-diffusion system with initially
separated components. Our perturbation analysis results predict a rich behavior for the …

We study reaction zones in three different versions of the A+B→ 0 system. For a steady state
formed by opposing currents of A and B particles we derive scaling behavior via …

In many scientific and technological contexts, we have only a poor understanding of the
structure and details of appropriate mathematical models. We often, therefore, need to …

We examine the long-time behavior of A+ B→ 0 reaction-diffusion systems with initially
segregated species A and B. All of our analysis is carried out for arbitrary (positive) values of …