# Mean joint residence time of two Brownian particles in a sphere

Source: [Mean joint residence time of two Brownian particles in a sphere](<https://www.sota2.com/research/paper/68fa27002c2a3760193bf4d7>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T03:06:26.664Z

Authors: O. Benichou, M. Coppey, J. Klafter, M. Moreau, G. Oshanin

Published: 2005-10-24T09:38:48.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0510621>)

[PDF](<https://arxiv.org/pdf/cond-mat/0510621.pdf>)