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The kinetic limit of a system of coagulating Brownian particles

Abstract:

We consider a random model of diffusion and coagulation. A large number of small particles are randomly scattered at an initial time. Each particle has some integer mass and moves in a Brownian motion whose diffusion rate is determined by that mass. When any two particles are close, they are liable to combine into a single particle that bears the mass of each of them. Choosing the initial density of particles so that, if their size is very small, a typical one is liable to interact with a uni...

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Publication status:
Published

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Publisher copy:
10.1007/s00205-006-0033-5

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Institution:
University of Oxford
Division:
MPLS
Department:
Statistics
Role:
Author
Journal:
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS More from this journal
Volume:
185
Issue:
1
Pages:
1-67
Publication date:
2004-08-29
DOI:
EISSN:
1432-0673
ISSN:
0003-9527
Language:
English
Keywords:
Pubs id:
pubs:104564
UUID:
uuid:24de7ff9-102c-422b-81ae-45c6596f2d48
Local pid:
pubs:104564
Source identifiers:
104564
Deposit date:
2012-12-19

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