Speaker: Professor Nikolay Brilliantov
Affiliation: Skoltech, Moscow & Department of Math, University of Leicester Date: 24th January (Monday)
Time: 04:30 PM Venue: Online meeting -- google meet link: https://meet.google.com/odb-yutn-mkb
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 the 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 the 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.
[1] N. Brilliantov, T. Poeschel, and A. Formella, Nat. Comm., 9 (2018) 797.
[2] N.V. Brilliantov, et al., PNAS, 112 (2015) 9536-9541.
[3] S. A. Matveev, et al., Phys. Rev. Lett., 119 (2017) 260601.
[4] N. Brilliantov, W. Otieno, and P. Krapivsky, Phys. Rev. Lett., 126 (2021) 250602.
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