Volume 58, Number 1, April 2002
|Page(s)||14 - 20|
|Published online||01 August 2002|
Influence of correlations on the velocity statistics of scalar granular gases
INFM Udr Camerino, Università di Camerino,
Dipartimento Matematica e Fisica Via Madonna delle
Carceri, I-62032 Camerino, Italy
2 Università “La Sapienza” - P.le A. Moro 2, 00185 Roma, Italy
Accepted: 21 January 2002
The free evolution of inelastic particles in one dimension is studied by means of Molecular Dynamics (MD), of an inelastic pseudo-Maxwell model and of a lattice model, with emphasis on the role of spatial correlations. We present a new exact solution of the 1d granular pseudo-Maxwell model for the scaling distribution of velocities and discuss how this model fails to describe correctly the homogeneous cooling stage of the 1d granular gas. Embedding the pseudo-Maxwell gas on a lattice (hence allowing for the onset of spatial correlations), we find a much better agreement with the MD simulations even in the inhomogeneous regime. This is seen by comparing the velocity distributions, the velocity profiles and the structure factors of the velocity field.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 64.60.-i – General studies of phase transitions / 45.70.-n – Granular systems
© EDP Sciences, 2002
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