Noise reduction and pattern formation in rapid granular flows
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1998
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World Scientific Publ Co Pte Ltd
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Abstract
Spatial fluctuations in dissipative systems, such as rapid granular flows, behave very differently from those in elastic fluids. Fluctuations in the flow field drive the linear and nonlinear instability in the density field (clustering), while vortex structures appear and grow through the mechanism of noise reduction. The dynamics of the flow field on the largest space and time scales is described by diffusion equations with different diffusivities for the transverse and longitudinal flow fields. The results are obtained from analytic and simulation methods.
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©World Scientific Publishing Company. International Conference on the Discrete Simulation of Fluids (7. 1998. Oxford, England). It is a pleasure to thank D. Frenkel for an invaluable comment and helpful correspondence. We also thank T.P.C. van Noije, M. Hagen and I. Pagonabarraga for stimulating discussions, M. Hagen for sending his plots of the flow field and J.A.G. Orza for his help in performing the numerical simulations. The authors also acknowledge financial support from the Offices of International Relations of Universidad Complutense and Universiteit Utrecht. One of us (R.B.) acknowledges support to DGICYT (Spain) number PB97-0076.