Issue |
Europhys. Lett.
Volume 67, Number 4, August 2004
|
|
---|---|---|
Page(s) | 545 - 551 | |
Section | General | |
DOI | https://doi.org/10.1209/epl/i2003-10301-2 | |
Published online | 01 August 2004 |
Kinetic description of coagulation and fragmentation in dilute granular particle ensembles
1
Institute of Physics, University Potsdam - Am Neuen Palais 10 14469 Potsdam, Germany
2
School of Engineering, The University of Birmingham Edgbaston, Birmingham B15 2TT, UK
Corresponding author: F.Spahn@agnld.uni-potsdam.de
Received:
16
December
2003
Accepted:
4
June
2004
We derive kinetic equations covering coagulation and
fragmentation of granular gases including a combined dynamics of
the mass spectrum and the velocity distribution. We will focus on
coagulation, that can only occur at low impact velocities where
attractive forces and dissipation prevent a post-collisional
separation. We calculate an impact speed-dependent threshold
velocity for coagulation to occur based on binary
collision dynamics of viscoelastic granular particles including
adhesive forces and determined by the masses, and the material of
the colliding particles. Growth processes are immensely slowed
down due to
and the resulting restriction in phase
space, and do furthermore depend on the ratio of threshold and
thermal velocity of a considered particle ensemble. The
Smoluchowski equation emerges from the general kinetic
approach as a special case.
PACS: 05.20.Dd – Kinetic theory / 45.70.-n – Granular systems / 96.35.Cp – Origin, formation, evolution, and ages
© EDP Sciences, 2004
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