MODELS OF FREE COOLING GRANULAR GASES

Umberto Marini Bettolo Marconi, Andrea Baldassarri and Andrea Puglisi
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Umberto Marini Bettolo Marconi: Dip. di Matematica e Fisica and INFM, Univ. di Camerino, Via Madonna delle Carceri, Camerino, 62032, Italy
Andrea Baldassarri: Dip. di Matematica e Fisica and INFM, Univ. di Camerino, Via Madonna delle Carceri, Camerino, 62032, Italy
Andrea Puglisi: Dip. di Fisica, Univ. di Roma "La Sapienza", P.le Aldo Moro 2, Roma, 00185, Italy

Advances in Complex Systems (ACS), 2001, vol. 04, issue 04, 321-331

Abstract: We consider the free evolution of systems of granular particles whose dynamics is characterized by a collision rule which preserves the total momentum, but dissipates the kinetic energy. Starting from an inelastic version of a minimal model proposed by Ulam for a gas of Maxwell molecules, we introduce a new lattice model aimed at investigating the role of dynamical correlations and the onset of spatial order induced by the inelasticity of the interactions. We study, in one- and two-dimensional cases, the velocity distribution, the decay of the energy, the formation of spatial structures and topological defects. Finally, we relate our findings to other models known in other fields.

Keywords: Rapid granular flows; kinetic theory for granular gases; ordering kinetics; inelastic Maxwell gas; shear instability; lattice models (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S0219525901000292

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