Model reduction for Smoluchowski equations with particle transfer

In this paper we consider the problem of modelling a system of aggregating particles, that are being transported with stationary velocities dependent on masses of the particles in one-dimensional case. A numerical method based on the ideas of POD (Proper Orthogonal Decomposition) is constructed, and its capacity to speed up the solution up to 40 times is demonstrated.

An improved spectrophotometric method tests the Einstein–Smoluchowski equation: a revisit and update

We develop a highly accessible and accurate spectrophotometric method, and identify shortcomings of the Einstein–Smoluchowski equations in solvent scattering predictions.

Smoluchowski equations for linker-mediated irreversible aggregation

An analytical solution of a generalized Smoluchowski equation for linker-mediated aggregation, validated by computer simulations, describes experimental results for the time evolution of clustering.