Velocity fluctuations in cooling granular gases
arXiv:cond-mat/0302418 · doi:10.1007/978-3-540-39843-1_4
Abstract
We study the formation and the dynamics of correlations in the velocity field for 1D and 2D cooling granular gases with the assumption of negligible density fluctuations (``Homogeneous Velocity-correlated Cooling State'', HVCS). It is shown that the predictions of mean field models fail when velocity fluctuations become important. The study of correlations is done by means of molecular dynamics and introducing an Inelastic Lattice Maxwell Models. This lattice model is able to reproduce all the properties of the Homogeneous Cooling State and several features of the HVCS. Moreover it allows very precise measurements of structure functions and other crucial statistical indicators. The study suggests that both the 1D and the 2D dynamics of the velocity field are compatible with a diffusive dynamics at large scale with a more complex behavior at small scale. In 2D the issue of scale separation, which is of interest in the context of kinetic theories, is addressed.
24 pages, 16 figures, conference proceeding
References in corpus (9)
- Scaling Solutions of Inelastic Boltzmann Equations with Over-populated High Energy Tails
- Dynamics of Freely Cooling Granular Gases
- Scaling, Multiscaling, and Nontrivial Exponents in Inelastic Collision Processes
- Violation of Molecular Chaos in dissipative gases
- Steady state properties of a mean field model of driven inelastic mixtures
- Cooling of a lattice granular fluid as an ordering process
- Which is the temperature of granular systems? A mean field model of free cooling inelastic mixtures
- On the velocity distributions of the one-dimensional inelastic gas
- Velocity Distribution of Inelastic Granular Gas in Homogeneous Cooling State