Diffusion-Limited Reaction Kinetics of a Reactant with Square Reactive Patches on a Plane

A Diffusion-Limited Reaction

Fluctuations in diffusion-controlled reactions lack the necessary features for a mesoscopic description. We show how the correlations dominate the dynamics by juxtaposing the macroscopic dynamics of a cellular automaton model for the diffusion-controlled limit to the deterministic diffusion-reaction rate equation for the same reaction. A more detailed N-body master equation is then presented in...

A computational reaction-diffusion model for the analysis of transport-limited kinetics.

Optical, evanescent wave biosensors have become popular tools for quantitatively characterizing the kinetic properties of biomolecular interactions. Analyzing data from biosensor experiments, however, is often complicated when mass-transfer influences the detection kinetics. We present a computational, transport-kinetic model that can be used to analyze transport-limited biosensor data. This mo...

Diffusion-Controlled Reaction Kinetics

In-plane Band Gaps in a Periodic Plate with Piezoelectric Patches

A plate periodically bonded with piezoelectric patches on its surfaces is considered. The differential quadrature element method is used to solve the wave motion equation for the two-dimensional periodic structure. The method is very simple and easy to implement. Based on the method, band structures for in-plane wave propagating in the periodic piezoelectric plate are studied, from which the fr...

Enhanced self-diffusion on Cu(111) by trace amounts of s: chemical-reaction-limited kinetics.

We find that less than 0.01 monolayer of S can enhance surface self-diffusion on Cu(111) by several orders of magnitude. The measured dependence of two-dimensional island decay rates on S coverage (theta(S)) is consistent with the proposal that Cu3S3 clusters are responsible for the enhancement. Unexpectedly, the decay and ripening are diffusion limited with very low and very high theta(S) but ...