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 ϕ filled by the background of particles tends to zero. Moreover, we prove that the particle system, i.e., the CTP model, is well posed for a small but positive volume fraction with probability one as long as the distribution of the particle sizes is compactly supported.

On the Growth of a Particle Coalescing in a Poisson Distribution of Obstacles

Nota A.;
2017

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 ϕ filled by the background of particles tends to zero. Moreover, we prove that the particle system, i.e., the CTP model, is well posed for a small but positive volume fraction with probability one as long as the distribution of the particle sizes is compactly supported.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/151270
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