Exact Green's Function of the reversible diffusion-influenced reaction for an isolated pair in 2D
Thorsten Pr\"ustel, Martin Meier-Schellersheim
TL;DR
This paper derives an exact Green's function for a 2D diffusion equation describing a pair of interacting particles with a back-reaction boundary condition, providing a precise mathematical tool for analyzing such systems.
Contribution
The paper presents the first exact analytical Green's function solution for a 2D reversible diffusion-influenced reaction with back-reaction boundary conditions.
Findings
Exact Green's function derived for the 2D diffusion system
Provides a mathematical foundation for analyzing reversible reactions in 2D
Enables precise modeling of particle interactions in 2D environments
Abstract
We derive an exact Green's function of the diffusion equation for a pair of spherical interacting particles in 2D subject to a back-reaction boundary condition.
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