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.
%0 Conference Paper
%1 granular-trieste
%A Baldassarri, A.
%A Marconi, U. Marini Bettolo
%A Puglisi, A.
%D 2001
%E Mehta, A.
%E Halsey, T. C.
%J Advances in Complex Systems
%K proceedings gas 2001 myown granular trieste maxwell
%N 4
%P 321-331
%T Models of free cooling granular gases
%V 4
%X 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.
@inproceedings{granular-trieste,
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.},
added-at = {2006-10-17T20:08:15.000+0200},
author = {Baldassarri, A. and Marconi, U. Marini Bettolo and Puglisi, A.},
biburl = {https://www.bibsonomy.org/bibtex/264979e18ed8a4d121309d19f5a187e74/andreab},
editor = {Mehta, A. and Halsey, T. C.},
interhash = {693bb30ba0cd40f2ca84182713337800},
intrahash = {64979e18ed8a4d121309d19f5a187e74},
journal = {Advances in Complex Systems},
keywords = {proceedings gas 2001 myown granular trieste maxwell},
number = 4,
pages = {321-331},
timestamp = {2006-10-17T20:08:15.000+0200},
title = {Models of free cooling granular gases},
volume = 4,
year = 2001
}