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Ring kinetic theory for an idealized granular gas Van Noije, T. P. C. Ernst, M. H. Brito López, Ricardo © 1998 Elsevier Science B.V. Dedicated to J.M.J. van Leeuwen on the occasion of his 65th birthday. The authors want to thank J.A.G. Orza for performing molecular dynamics simulations, and H.J. Bussemaker and D. Montgomery for stimulating discussions. T.v.N. acknowledges support of the foundation `Fundamenteel Onderzoek der Materie (FOM)', which is financially supported by the Dutch National Science Foundation (NWO). R.B. acknowledges support from DGICYT (Spain) number PB94-0265. The dynamics of inelastic hard spheres is described in terms of the binary collision expansion, yielding the corresponding pseudo-liouville equation and BBGKY hierarchy for the reduced distribution functions. Based on cluster expansion techniques we derive the Boltzmann and ring kinetic equations for inelastic hard spheres. In the simple ring approximation, we calculate the structure factor S-perpendicular to(k,t) of vorticity fluctuations in a freely evolving, dilute granular gas. The kinetic theory result agrees with the result derived previously from fluctuating hydrodynamics. If the fluctuations in the flow field can be considered incompressible, S-perpendicular to(k,t) determines the spatial correlations in the flow velocities, which are of dynamic origin and exhibit long range r(-d)-behavior. The analytic results are compared with molecular dynamics simulations. 2023-06-20T18:45:03Z 2023-06-20T18:45:03Z 1998-03-01 journal article 0378-4371 10.1016/S0378-4371(97)00610-9 https://hdl.handle.net/20.500.14352/58510 http://www.sciencedirect.com/science/article/pii/S0378437197006109 http://www.sciencedirect.com/ http://arxiv.org/pdf/cond-mat/9706020v1 eng PB94-0265. open access Elsevier