Diffusion toward non-overlapping partially reactive spherical traps: Fresh insights onto classic problems.

J Chem Phys

Laboratoire de Physique de la Matière Condensée (UMR 7643), CNRS - Ecole Polytechnique, IP Paris 91128, Palaiseau, France.

Published: June 2020

Several classic problems for particles diffusing outside an arbitrary configuration of non-overlapping partially reactive spherical traps in three dimensions are revisited. For this purpose, we describe the generalized method of separation of variables for solving boundary value problems of the associated modified Helmholtz equation. In particular, we derive a semi-analytical solution for the Green function that is the key ingredient to determine various diffusion-reaction characteristics such as the survival probability, the first-passage time distribution, and the reaction rate. We also present modifications of the method to determine numerically or asymptotically the eigenvalues and eigenfunctions of the Laplace operator and the Dirichlet-to-Neumann operator in such perforated domains. Some potential applications in chemical physics and biophysics are discussed, including diffusion-controlled reactions for mortal particles.

Download full-text PDF

Source
http://dx.doi.org/10.1063/5.0012719DOI Listing

Publication Analysis

Top Keywords

non-overlapping partially
8
partially reactive
8
reactive spherical
8
spherical traps
8
classic problems
8
diffusion non-overlapping
4
traps fresh
4
fresh insights
4
insights classic
4
problems classic
4

Similar Publications

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!