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.
This is a preview of subscription content, log in via an institution.
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Baldassarri, A., Marconi, U.M.B., Puglisi, A. (2003). Velocity Fluctuations in Cooling Granular Gases. In: Pöschel, T., Brilliantov, N. (eds) Granular Gas Dynamics. Lecture Notes in Physics, vol 624. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39843-1_4
Download citation
DOI: https://doi.org/10.1007/978-3-540-39843-1_4
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20110-6
Online ISBN: 978-3-540-39843-1
eBook Packages: Springer Book Archive