Kinetic Limit for a System of Coagulating Planar Brownian Particles |
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| Authors: | Alan Hammond Fraydoun Rezakhanlou |
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| Institution: | (1) Department of Statistics, University of California, Berkeley, California 94720-3840, USA;(2) Department of Mathematics, University of California, Berkeley, California 94720-3830, USA |
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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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| Keywords: | Coagulation Interacting Particle Systems Planar Brownian Motion Smoluchowski’ s Equation |
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