Warm turbulence in the Boltzmann equation

Details Warm turbulence in the Boltzmann equation Warm turbulence in the Boltzmann equation

2011-03-28

arxiv.org/abs/1103.5319v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 5 figures

Scientific paper

10.1209/0295-5075/96/24004

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 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.

Affiliated with

Also associated with

No associations

Rating

Warm turbulence in the Boltzmann equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Warm turbulence in the Boltzmann equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Warm turbulence in the Boltzmann equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-707155