University of Leicester
Browse
PhysRevLett.119.260601.pdf (562.73 kB)

Oscillations in Aggregation-Shattering Processes

Download (562.73 kB)
journal contribution
posted on 2018-04-30, 08:58 authored by S. A. Matveev, P. L. Krapivsky, A. P. Smirnov, E. E. Tyrtyshnikov, Nikolai V. Brilliantov
We observe never-ending oscillations in systems undergoing collision-controlled aggregation and shattering. Specifically, we investigate aggregation-shattering processes with aggregation kernels Ki,j=(i/j)a+(j/i)a and shattering kernels Fi,j=λKi,j, where i and j are cluster sizes, and parameter λ quantifies the strength of shattering. When 0≤a<1/2, there are no oscillations, and the system monotonically approaches a steady state for all values of λ; in this region, we obtain an analytical solution for the stationary cluster size distribution. Numerical solutions of the rate equations show that oscillations emerge in the 1/2

History

Citation

Physical Review Letters, 2017, 119 (26), 260601

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Version

  • VoR (Version of Record)

Published in

Physical Review Letters

Publisher

American Physical Society

issn

0031-9007

eissn

1079-7114

Copyright date

2017

Available date

2018-04-30

Publisher version

https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.119.260601

Language

en

Usage metrics

    University of Leicester Publications

    Categories

    No categories selected

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC