Brownian coagulation and a version of Smoluchowski's equation on the circle

Details Brownian coagulation and a version of Smoluchowski's equation on the circle Brownian coagulation and a version of Smoluchowski's equation on the circle

2010-09-28

arxiv.org/abs/1009.5747v1

Annals of Applied Probability 2010, Vol. 20, No. 2, 660-695

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/09-AAP633 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Inst

Scientific paper

10.1214/09-AAP633

We introduce a one-dimensional stochastic system where particles perform independent diffusions and interact through pairwise coagulation events, which occur at a nontrivial rate upon collision. Under appropriate conditions on the diffusion coefficients, the coagulation rates and the initial distribution of particles, we derive a spatially inhomogeneous version of the mass flow equation as the particle number tends to infinity. The mass flow equation is in one-to-one correspondence with Smoluchowski's coagulation equation. We prove uniqueness for this equation in a broad class of solutions, to which the weak limit of the stochastic system is shown to belong.

Affiliated with

Also associated with

No associations

Rating

Brownian coagulation and a version of Smoluchowski's equation on the circle does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Brownian coagulation and a version of Smoluchowski's equation on the circle, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Brownian coagulation and a version of Smoluchowski's equation on the circle will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-695004