44 citations · 53 across the 7 of their papers we have counts for
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A mini-review on combinatorial solutions to the Marcus-Lushnikov irreversible aggregation
Michał Łepek, Agata Fronczak, Piotr Fronczak
Over the past decade, a combinatorial framework for discrete, finite, and irreversibly aggregating systems has emerged. This work reviews its progress, practical applications, and…
How initial condition impacts aggregation -- a systematic numerical study
Michał Łepek
In a process of aggregation, a finite number of particles merge irreversibly to create growing clusters. In this work, impact of particular initial conditions: monodisperse, power-…
Coalescense with arbitrary-parameter kernels and monodisperse initial conditions: A study within combinatorial framework
Michał Łepek, Agata Fronczak, Piotr Fronczak
For this work, we studied a finite system of discreet-size aggregating particles for two types of kernels with arbitrary parameters, a condensation (or branched-chain polymerizatio…
Combinatorial solutions to generalized electrorheological kernel aggregation
Michał Łepek, Agata Fronczak, Piotr Fronczak
For this paper, we studied the time evolution of a system of coagulating particles under a generalized electrorheological (ER) kernel with real power, $K\left(i,j\right) = \left( \…
Exact combinatorial approach to finite coagulating systems through recursive equations
Michał Łepek, Paweł Kukliński, Agata Fronczak +1
This work outlines an exact combinatorial approach to finite coagulating systems through recursive equations and use of generating function method. In the classic approach the mean…