Dynamics of interfaces in reaction diffusion systems

Large scale reaction front dynamics in anisotropic reaction-diffusion systems

Fluctuation-regularized front propagation dynamics in reaction-diffusion systems.

We introduce and study a new class of fronts in finite particle-number reaction-diffusion systems, corresponding to propagating up a reaction-rate gradient. We show that these systems have no traditional mean-field limit, as the nature of the long-time front solution in the stochastic process differs essentially from that obtained by solving the mean-field deterministic reaction-diffusion equat...

Complex dynamics in initially separated reaction-diffusion systems

We review recent developments in the study of the diffusion reaction systems of the type A + B ~ C in which the reactants are initially separated. We consider the case where the A and B particles are initially placed uniformly in Euclidean space at x > 0 and x < 0, respectively. We find that whereas for d /> 2 the mean field exponent characterizes the width of the reaction zone, fluctuations ar...

Reaction/Diffusion at Electrode/Solution Interfaces: The EC2 Reaction

A closed form analytical expression is derived for the normalized current versus potential response expected for a rotating disc electrode in which an initial fast electron transfer reaction is followed by a homogeneous electrochemical reaction which exhibits second order kinetics. The effect of the homogeneous reaction on the shape of the voltammetric response curve is calculated.

Pattern formation in reaction-diffusion and reaction-diffusion-convection systems