STAT-MECHNANAAug 29, 2017

A stochastic approach to colloidal particle collision/agglomeration

arXiv:1611.062481 citations
Originality Synthesis-oriented
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Provides a numerical method for simulating colloidal dynamics, but the contribution is incremental as it extends existing Langevin-based approaches.

The paper proposes a discretisation scheme for modelling colloidal particle collisions and agglomeration using Langevin processes, and conjectures convergence rates for bias, confirmed numerically for both specular reflection and absorption schemes.

Colloidal particles that experience perfectly elastic collisions can be modelled using Langevin processes with specular reflection conditions. The article presents a discretisation scheme and offers a conjecture for the rate of convergence of the bias produced. Numerically, these conjectures are confirmed for the specular reflection scheme but also for the absorption scheme, which models perfect agglomeration.

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