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arXiv · 1608.08118

On the growth of a particle coalescing in a Poisson distribution of obstacles

Alessia Nota·Juan J. L. Velázquez
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Abstract

In this paper we consider the coalescence dynamics of a tagged particle moving in a random distribution of particles with volumes independently distributed according to a probability distribution (CTP model). We provide a rigorous derivation of a kinetic equation for the probability density for the size and position of the tagged particle in the kinetic limit where the volume fraction $\phi$ filled by the background of particles tends to zero. Moreover, we prove that the particle system, i.e. CTP model, is well posed for a small but positive volume fraction with probability one as long as the the distribution of the particle sizes is compactly supported.

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Alessia Nota, Juan J. L. Velázquez. 2016-08-29. On the growth of a particle coalescing in a Poisson distribution of obstacles. https://doi.org/10.1007/s00220-017-2929-3

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