Proment, D., Nazarenko, Sergey, Asinari, P. and Onorato, M.. (2011) Warm turbulence in the Boltzmann equation. EPL (Europhysics Letters), Vol.96 (No.2). Article No.24004. ISSN 0295-5075

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Abstract

We study the single-particle distributions of three-dimensional hard-sphere gas described by the Boltzmann equation. We focus on the steady homogeneous isotropic solutions in thermodynamically open conditions, i.e. in the presence of forcing and dissipation. We observe a nonequilibrium steady-state solution characterized by a warm turbulence, that is an energy and particle cascade superimposed on the Maxwell-Boltzmann distribution. We use a dimensional analysis approach to relate the thermodynamic quantities of the steady state with the characteristics of the forcing and dissipation terms. In particular, we present an analytical prediction for the temperature of the system which we show to be dependent only on the forcing and dissipative scales. Numerical simulations of the Boltzmann equation support our analytical predictions.

Item Type:	Journal Article
Divisions:	Faculty of Science > Mathematics
Journal or Publication Title:	EPL (Europhysics Letters)
Publisher:	Institute of Physics Publishing Ltd.
ISSN:	0295-5075
Date:	2011
Volume:	Vol.96
Number:	No.2
Page Range:	Article No.24004
Identification Number:	10.1209/0295-5075/96/24004
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
URI:	http://wrap.warwick.ac.uk/id/eprint/39675

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