TL;DR
This paper reviews a variation of Smoluchowski's coagulation equations where the number of aggregations per atom is limited, connecting macroscopic results to stochastic models and random graph theory.
Contribution
It introduces and analyzes a limited aggregation model, linking deterministic coagulation equations to stochastic processes and random graph models.
Findings
Macroscopic results explained by microscopic stochastic models
Connection established between coagulation with limits and random graph theory
Insights into polymer formation dynamics with limited aggregations
Abstract
Smoluchowski's coagulation equations can be used as elementary mathematical models for the formation of polymers. We review here some recent contributions on a variation of this model in which the number of aggregations for each atom is a priori limited. Macroscopic results in the deterministic setting can be explained at the microscopic level by considering a version of stochastic coalescence with limited aggregations, which can be related to the so-called random configuration model of random graph theory.
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