Volume 117, Number 1, January 2017
|Number of page(s)||6|
|Published online||20 February 2017|
Universality properties of steady driven coagulation with collisional evaporation
1 Centre for Complexity Science, University of Warwick - Gibbet Hill Road, Coventry CV4 7AL, UK
2 Mathematics Institute, University of Warwick - Gibbet Hill Road, Coventry CV4 7AL, UK
3 London Mathematical Laboratory - 14 Buckingham St., London WC2N 6DF, UK
4 Institute of Mathematical Sciences, CIT Campus - Taramani, Chennai-600113, India
5 Homi Bhabha National Institute, Training School Complex - Anushakti Nagar, Mumbai 400094, India
(a) Present address: Université de Strasbourg, CNRS, Institut Charles Sadron, UPR 22 - 67000 Strasbourg, France; firstname.lastname@example.org
Received: 16 November 2016
Accepted: 1 February 2017
Irreversible aggregation is an archetypal example of a system driven far from equilibrium by sources and sinks of a conserved quantity (mass). The source is a steady input of monomers and the evaporation of colliding particles with a small probability is the sink. Using exact and heuristic analyses, 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.
PACS: 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 82.30.Nr – Association, addition, insertion, cluster formation / 47.27.Gs – Isotropic turbulence; homogeneous turbulence
© EPLA, 2017
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