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Kinetic Limit for a System of Coagulating Planar Brownian Particles

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Abstract

We study a model of mass-bearing coagulating planar Brownian particles. The coagulation occurs when two particles are within a distance of order ε. We assume that the initial number of particles N is of order |logε|. Under suitable assumptions of the initial distribution of particles and the microscopic coagulation propensities, we show that the macroscopic particle densities satisfy a Smoluchowski-type equation.

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Authors and Affiliations

  1. Department of Statistics, University of California, Berkeley, California, 94720-3840, USA

    Alan Hammond

  2. Department of Mathematics, University of California, Berkeley, California, 94720-3830, USA

    Fraydoun Rezakhanlou

Authors
  1. Alan Hammond
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  2. Fraydoun Rezakhanlou
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Hammond, A., Rezakhanlou, F. Kinetic Limit for a System of Coagulating Planar Brownian Particles. J Stat Phys 124, 997–1040 (2006). https://doi.org/10.1007/s10955-005-0105-1

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  • DOI: https://doi.org/10.1007/s10955-005-0105-1

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