Fluctuation kinetics in a multispecies reaction - diffusion system

Fluctuation Kinetics in a Multispecies Reaction-Diffusion System

We study fluctuation effects in a two species reaction-diffusion system, with three competing reactions A + A → ∅, B + B → ∅, and A + B → ∅. Asymptotic density decay rates are calculated for d ≤ 2 using two separate methods the Smoluchowski approximation, and also field theoretic/renormalisation group (RG) techniques. Both approaches predict power law decays, with exponents which asymptotically...

Multispecies reaction-diffusion systems

Multispecies reaction-diffusion systems, for which the time evolution equations of correlation functions become a closed set, are considered. A formal solution for the average densities is found. Some special interactions and the exact time dependence of the average densities in these cases are also studied. For the general case, the large-time behavior of the average densities has also been ob...

Fluctuation effects in steric reaction-diffusion systems

We propose a simple model for reaction-diffusion systems with orientational constraints on the reactivity of particles, and map it onto a field theory with upper critical dimension dc52. To the two-loop level, long-time particle density N(t) is given by the same universal expression as for a nonsteric system, with N(t);t for d<2. For slow rotations of the particles we find an intermediate regim...

Diffusion-Controlled Reaction Kinetics

Reaction rates for mesoscopic reaction-diffusion kinetics.

The mesoscopic reaction-diffusion master equation (RDME) is a popular modeling framework frequently applied to stochastic reaction-diffusion kinetics in systems biology. The RDME is derived from assumptions about the underlying physical properties of the system, and it may produce unphysical results for models where those assumptions fail. In that case, other more comprehensive models are bette...