Comment on "Optimal Reaction Time for Surface-Mediated Diffusion"

TL;DR

This paper critiques a previous study on surface-mediated diffusion, proposing alternative solution methods for the diffusion equation to address more general cases and improve theoretical understanding.

Contribution

It introduces new ansatz and methods for solving the diffusion equation, extending the analysis to more general scenarios beyond the original assumptions.

Findings

Proposes alternative ansatz for diffusion solutions

Addresses limitations of previous solution methods

Enhances theoretical framework for surface-mediated diffusion

Abstract

In recent letter [Phys. Rev. Lett {\bf 105}, 150606 (2010)], the surface-mediated diffusion problem is theoretically discussed, and interesting results have been obtained. However, for more general cases, the ansatz of solutions of the diffusion equation, which is the starting point of their analysis, might not be appropriate. In this comment, suggested ansatz and corresponding methods will be presented.