RT Journal Article
T1 Noise reduction and pattern formation in rapid granular flows
A1 Brito, Ricardo
A1 Ernst, M. H.
AB 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.
PB World Scientific Publ Co Pte Ltd
SN 0129-1831
YR 1998
FD 1998-12
LK https://hdl.handle.net/20.500.14352/58491
UL https://hdl.handle.net/20.500.14352/58491
LA eng
NO 1. H.M. Jaeger, S.R. Nagel and B.P. Behringer, Rev. Mod. Phys. 68, 1259 (1996).2. H.J. Herrmann, J.P. Hovi and S. Luding (Eds), Physics of Dry Granular Media, NATO-ASI Series (Kluwer Academic Publishers, Dordrecht, 1998).3. P.K. Haff, J. Fluid Mech. 134, 401 (1983)4. C.S. Campbell, Annu. Rev. Fluid Mech. 22, 57 (1990)5. Proceedings 7-th International Conference on Discrets Simulation of Fluids, Oxford UK, July 1998 (this issue).6. a) P.J. Hoogerbrugge and J.M.V.A. Koelman, Europhys. Lett. 19, 155 (1992); b) P. Español and P. Warren, Europhys. Lett. 30, 191 (1995); c) P. Warren, this issue; d) P. Español, this issue.7. D.C. Rapaport, Comp. Phys. Repts. 9, 1 (1988).8. a) C.S. Campbell and A. Gong, J. Fluid. Mech. 164, (1986). b) M.Y. Lounge, Phys. Fluids B 6, 2253 (1994); M.A. Hopkins and M.Y. Lounge, Phys. Luids A 3, 47 (1991). c) I. Goldhirsch, M.-L. Tan and G. Zanetti, J. Sci. Comput. 8, 1 (1993); I Goldhirsch and G. Zanetti, Phys. Rev. Lett. 70, 1619 (1993); I Goldhirsch and S. McNamara, Phys. Rev. Lett. 70, 1619 (1993).9. J.J. Monaghan, Annu. Rev. Astron. Astrophys. 30, 543 (1992); H.A. Posch, W. G. Hoover and O. Kum, Phys. Rev. E52, 1711, 4899 (1995); 54, 5142 (1996).10. O.R. Walton, in: Numerical Simulation of inelastic frictional particle-particle interactions and Granular Media, D. Bideau (Ed.) (NHPC, Amsterdam 1992); H.J. Herrmann, in: Disorder and Granular Flows, D. Bideau and A. Hansen (Eds) (Elsevier, Amsterdam 1993, H. J. Hermann, Physics A 189, 437 (1992).11. a) D.R.M. Williams and F.C. MacKintosch, Phys. Rev. E54, R9 (1996); b) G. Peng and T. Ohta, cond-mat/9710119; c) T.P.C. van Noije and M.H. Ernst, Granular Matter, in press, cond-mat/9803042.12. C.S. Campell and C.E. Brennen, J. Fluid. Mech. 151, 167 (1985). I. Goldhirsch and M.-L. Tan, Phys. Fluids 8, 1752 (1996).13. M.A. Hopkins, J.T. Jenkins and M.Y. Lounge, Advances in Micromechanics of Granular Materials, H.H. Shen et al. (Eds) (Elsevier Science Publ. Amsterdam, 1992), p.271.14. T.P.C. van Noije, M.H. Ernst, R. Brito and J.A.G. Orza, Phys. Rev. Lett. 79, 411 (1997).15. T.P.C. van Noije, M.H. Ernst and R. Brito, Phys. Rev. E57, R4891 (1998).16. S. McNamara, and W.R. Young, Phys Rev. E53, 5089 (1996).17. S.E. Esipov and T. Pöschel, J. Stat. Phys. 86, 1385 (1997)18. P. Deltour and J.L. Barrat, J. Phys. I France 7, 137 (1997)19. J.J. Brey, F. Moreno and J.W. Dufty, Phys. Rev. E54, 445 (1996)20. M. Müller and H.J. Herrmann, in Ref.2, page 413.21. S. Chen, Y. Deng, X. Nie and Y. Tu, cond-mat/9804235.22. A. Kudrolli, M. Wolpert and J.P. Gollub, Phys. Rev. Lett. 78, 1383 (1997); L. Ogur, C. Annic, D. Bideau, R. Dai and S.B. Savage, J. Stat. Phys. 82, 1047 (1996).23. J.T. Jenkins, in Ref.2, page 353.24. I. Goldhirsch, in Ref.2, page 371.25. R. Brito and M. H. Ernst, Europhys. Lett. 43, 497 (1998).26. J.A.G. Orza, R. Brito, T.P.C. van Noije and M.H. Ernst, Int. J. Mod. Phys. C8, 953 (1997).27. S. McNamara, Phys. Fluids 5, 3056 (1993).28. R. Brito and M.H. Ernst, unpublished report, accessible on WWW page: http://seneca.fis.ucm.es/brito/IHS.html29. J.J. Brey and M.J. Ruiz Montero, private communication (Aug. 98).30. T. Naitoh, M.H. Ernst, M.A. v.d. Hoef and D. Frenkel, Phys. Rev. E A44, 248 (1991).
NO ©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.
NO Offices of International Relations of Universidad Complutense
NO Universiteit Utrecht
NO DGICYT (Spain)
DS Docta Complutense
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