Fully developed turbulence is a universal and scale-invariant chaotic state characterized by
an energy cascade from large to small scales at which the cascade is eventually arrested by …

We observe never-ending oscillations in systems undergoing collision-controlled
aggregation and shattering. Specifically, we investigate aggregation-shattering processes …

A new solution technique is proposed for one-dimensional Smoluchowski equations. It is
based on the finite-difference predictor–corrector scheme and is faster than other methods …

We develop a biased Monte Carlo algorithm to measure probabilities of rare events in
cluster-cluster aggregation for arbitrary collision kernels. Given a trajectory with a fixed …

Temperature-dependent Smoluchowski equations describe the ballistic agglomeration. In
contrast to the standard Smoluchowski equations for the evolution of cluster densities, with …

In this paper we present a novel numerical algorithm for the space-homogeneous
multicomponent (multidimensional) Smoluchowski coagulation equation, the number of …

A fast numerical method of finding steady-state distributions of particles sizes for a wide
class of aggregation–fragmentation models, including the models with a source of …

We revisit two basic Direct Simulation Monte Carlo Methods to model aggregation kinetics
and extend them for aggregation processes with collisional fragmentation (shattering). We …

We report surprising steady oscillations in aggregation-fragmentation processes. Oscillating
solutions are observed for the class of aggregation kernels K i, j= i ν j μ+ j ν i μ …

We study the Becker--Döring bubblelator, a variant of the Becker--Döring coagulation-
fragmentation system that models the growth of clusters by gain or loss of monomers …