Journal article
The kinetic limit of a system of coagulating planar Brownian particles
- Abstract:
- We study a model of mass-bearing coagulating planar Brownian particles. Coagulation is prone to occur when two particles become within a distance of order $\epsilon$. We assume that the initial number of particles is of the order of $| \log \epsilon |. Under suitable assumptions on the initial distribution of particles and the microscopic coagulation propensities, we show that the macroscopic particle densities satisfy a Smoluchowski-type equation.
- Publication status:
- Published
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- Publisher copy:
- 10.1007/s10955-005-0105-1
Authors
- Journal:
- JOURNAL OF STATISTICAL PHYSICS More from this journal
- Volume:
- 124
- Issue:
- 2-4
- Pages:
- 997-1040
- Publication date:
- 2005-07-26
- DOI:
- EISSN:
-
1572-9613
- ISSN:
-
0022-4715
- Language:
-
English
- Keywords:
- Pubs id:
-
pubs:116002
- UUID:
-
uuid:16a587c1-d285-41b9-bbb7-519e51001883
- Local pid:
-
pubs:116002
- Source identifiers:
-
116002
- Deposit date:
-
2012-12-19
- ARK identifier:
Terms of use
- Copyright date:
- 2005
- Notes:
-
46 pages. The statement of Corollary 1 has been corrected to include
a time average. arXiv admin note: text overlap with arXiv:math/0408395
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