University of Leicester
Browse
Nature_Comm_2018.pdf (791.87 kB)

Increasing temperature of cooling granular gases

Download (791.87 kB)
journal contribution
posted on 2018-04-25, 15:03 authored by Nikolai V. Brilliantov, Arno Formella, Thorsten Pöschel
The kinetic energy of a force-free granular gas decays monotonously due to inelastic collisions of the particles. For a homogeneous granular gas of identical particles, the corresponding decay of granular temperature is quantified by Haff's law. Here, we report that for a granular gas of aggregating particles, the granular temperature does not necessarily decay but may even increase. Surprisingly, the increase of temperature is accompanied by the continuous loss of total gas energy. This stunning effect arises from a subtle interplay between decaying kinetic energy and gradual reduction of the number of degrees of freedom associated with the particles' dynamics. We derive a set of kinetic equations of Smoluchowski type for the concentrations of aggregates of different sizes and their energies. We find scaling solutions to these equations and a condition for the aggregation mechanism predicting growth of temperature. Numerical direct simulation Monte Carlo results confirm the theoretical predictions.

History

Citation

Nature Communications, 2018, 9 (797)

Author affiliation

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

Version

  • VoR (Version of Record)

Published in

Nature Communications

Publisher

Nature Publishing Group

eissn

2041-1723

Acceptance date

2018-12-27

Copyright date

2018

Available date

2018-04-25

Publisher version

https://www.nature.com/articles/s41467-017-02803-7

Language

en

Usage metrics

    University of Leicester Publications

    Categories

    Keywords

    Licence

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC