TAX-LIMITED REACTION FUNCTIONS

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...

Effective Tax Functions for the US Individual Income Tax : 1966

Band-limited Functions: / / -convergence

Effective reaction rates for diffusion-limited reaction cycles.

Biological signals in cells are transmitted with the use of reaction cycles, such as the phosphorylation-dephosphorylation cycle, in which substrate is modified by antagonistic enzymes. An appreciable share of such reactions takes place in crowded environments of two-dimensional structures, such as plasma membrane or intracellular membranes, and is expected to be diffusion-controlled. In this w...

Reaction-limited sintering in nearly saturated environments

We study the shape and growth rate of necks between sintered spheres with dissolutionprecipitation dynamics in the reaction-limited regime. We determine the critical shape that separates those initial neck shapes that can sinter from those that necessarily dissolve, as well as the asymptotic evolving shape of sinters far from the critical shape. We compare our results with past results for the ...