Steady oscillations in aggregation-fragmentation processes

Aggregation–Fragmentation Processes and Wave Kinetics

Kinetics of random aggregation-fragmentation processes with multiple components.

A computationally efficient algorithm is presented for exact simulation of the stochastic time evolution of spatially homogeneous aggregation-fragmentation processes featuring multiple components or conservation laws. The algorithm can predict the average size and composition distributions of aggregating particles as well as their fluctuations, regardless of the functional form (e.g., compositi...

Fragmentation with a Steady Source

Fragmentation underlies numerous natural phenomena [1–5]. The quantity being “split” can be the mass, momentum, or the area, and typically, fragments continue splitting independently of each other. Examples include polymer degradation [6], breakup of liquid droplets [7] and atomic nuclei [8], martensitic transformations [9,10], shattering of solid objects [11,12], and meteor impacts. Fragmentat...

Particle-based modelling of aggregation and fragmentation processes in chaotic advection: Fractal aggregates

The incorporation of particle inertia into the usual mean field theory for particle aggregation and fragmentation in fluid flows is still an unsolved problem. We therefore suggest an alternative approach that is based on the dynamics of individual inertial particles and apply this to study steady state particle size distributions in a paradigmatic 2d flow. We show how a fractal structure, typic...

Fragmentation in H → bb̄ Processes

I study bottom quark fragmentation in the Standard Model Higgs decay H → b ¯ b, within the framework of perturbative fragmentation functions. I resum large collinear logarithms ln(m 2 H /m 2 b) in the next-to-leading logarithmic (NLL) approximation, using the DGLAP evolution equations. Soft contributions to the MS coefficient function and to the initial condition of the perturbative fragmentati...