Brownian coagulation. (English) Zbl 1136.82361
Summary: We consider a stochastic particle model for coagulating particles, whose free motion is Brownian, with diffusivity given by Einstein’s law. We present in outline a derivation from this model of a spatially inhomogeneous version of M. van Smoluchowski’s [Drei Vorträge über Diffusion, Brownsche Bewegung und Koagulation von Kolloidteilchen. Phys. Z. 17, 557–559 (1916)] coagulation equation. Some analytic results on existence, uniqueness and mass conservation for the limit equation are also presented.
MSC:
82C31 | Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics |
60J65 | Brownian motion |