Spatial correlations in compressible granular flows
- 1 May 1998
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 57 (5) , R4891-R4894
- https://doi.org/10.1103/physreve.57.r4891
Abstract
The clustering instability in freely evolving granular fluids manifests itself in the density-density correlation function and structure factor. These functions are calculated from fluctuating hydrodynamics. As time increases, the structure factor of density fluctuations develops a maximum, which shifts to smaller wave numbers (growing correlation length). Furthermore, the inclusion of longitudinal velocity fluctuations changes long-range correlations in the flow field qualitatively and extends the validity of the theory for spatial velocity correlations to higher inelasticities. The theoretical predictions agree well with two-dimensional molecular-dynamics simulations.Keywords
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