Velocity fluctuations in a one dimensional Inelastic Maxwell model
arXiv:0708.2983 · doi:10.1088/1742-5468/2007/08/P08031
Abstract
We consider the velocity fluctuations of a system of particles described by the Inelastic Maxwell Model. The present work extends the methods, previously employed to obtain the one-particle velocity distribution function, to the study of the two particle correlations. Results regarding both the homogeneous cooling process and the steady state driven regime are presented. In particular we obtain the form of the pair correlation function in the scaling region of the homogeneous cooling process and show that some of its moments diverge. This fact has repercussions on the behavior of the energy fluctuations of the model.
16 pages, 1 figure, to be published on Journal of Statistical Mechanics: Theory and Experiments
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Cited by in corpus (12)
- Breakdown of hydrodynamics in the inelastic Maxwell model of granular gases
- High-Energy Tail of the Velocity Distribution of Driven Inelastic Maxwell Gases
- Lattice models for granular-like velocity fields: Finite-size effects
- Non-equilibrium phase transition in a sheared granular mixture
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- Fluctuations in granular gases