Applied Mathematics Seminars: Universal and Non-Universal Steady States in Driven Aggregation with Evaporation
3 February 2017 14:00 in CM219
Irreversible aggregation is an archetypal example of a system that can be driven far from equilibrium by sources and sinks of a conserved quantity - in this case, mass. The source is a steady input of monomers and the evaporation of large particles with a small probability is the sink. In this talk I will introduce a mean-field Smoluchowski model of the statistical dynamics of irreversible aggregation and study its steady states. Using exact and heuristic analyses that draw on conceptual analogies with energy cascades in fluid turbulence, we find a universal regime and two distinct non-universal regimes distinguished by the relative importance of mergers between small and large particles. At the boundary between the regimes we find an analogue of the logarithmic correction conjectured by Kraichnan for two-dimensional turbulence.
Joint work with A. Dutta, R. Rajesh and O. Zaboronski.
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This seminar series is the continuation of the Numerical Analysis Seminar series that ran until August 2016. This change of name reflects the broader interests of the Applied Mathematics group (note that the Mathematical and Theoretical Particle Physics group also has a seminar series).