Mean joint residence time of two Brownian particles in a sphere
arXiv:cond-mat/0510621 · doi:10.1088/0305-4470/38/33/001
Abstract
We calculate the mean joint residence time of two Brownian particles in a sphere, for very general initial conditions. In particular, we focus on the dependence of this residence time as a function of the diffusion coefficients of the two particles. Our results can be useful for describing kinetics of bimolecular diffusion controlled reactions activated by catalytic sites.