Theoretical Sciences Unit's Silver Jubilee Colloquium

Lecture by Professor Nikolay Brilliantov

Speaker: Professor Nikolay Brilliantov

Affiliation: Skoltech, Moscow & Department of Mathematics, University of Leicester

Date: 24th January (Monday)

Time: 04:30 PM

Venue: Online Meeting - Google Meet Link

Title

Puzzles and Surprises in Aggregation-Fragmentation Kinetics

Abstract

We report our recent results in the aggregation-fragmentation kinetics. We start from the conventional Smoluchowski equations that describe aggregation kinetics and consider generalization of these equations.

Firstly, we extend these equations to take into account fragmentation and then we consider more general concepts of temperature-dependent Smoluchowski equations. In the latter equations, the aggregation rates depend on partial temperatures of different species (clusters), which in their turn obey a set of equations similar to Smoluchowski equations [1].

We discuss the application of the theory to the size distribution of particles in Saturn Rings [2] and such astonishing phenomena like concentration oscillations [3], first and second-order phase transitions in aggregation-fragmentation kinetics, jamming, and supercluster states [4]. For the temperature-dependent Smoluchowski equations, we discuss the surprising effects of quasi-gelling and permanent temperature growth of the system.

References