Phase diagram for avalanche stratification of granular media

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 58, Issue 4, 1998, Pages R4104-R4107

  Koeppe, J P ^a   Enz, M ^a   Kakalios, J ^a  

^a University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000729338     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.R4104     Document Type: Article

References (28)

1. J. C. Williams, Powder Technol. 2, 13 (1968).
2. Hernan A. Makse, Shlomo Havlin, Peter B. King, and H. Eugene Stanley, Nature (London) 386, 379 (1997).
3. J. Koeppe, M. Enz, and J. Kakalios, in Statistical Mechanics in Physics and Biology, edited by Denis Wirtz and Thomas C. Halsey, MRS Symposia Proceedings No. 463 (Materials Research Society, Pittsburgh, 1997), p. 319.
4. Ian Livingstone and Andrew Warren, Aeolian Geomorphology: An Introduction (Addison Wesley Longman Lmt., Singapore, 1996)
5. J. D. Collinson and D. B. Thompson, Sedimentary Structures, 2nd ed. (Unwin Hyman Ltd., London, 1989)
6. J. R. L. Allen, Sedimentary Structures: Their Character and Physical Basis (Elsevier, Amsterdam, 1982).
7. G. V. Middleton, Mechanics of Sediment Movement (Society of Economic Palontologists and Mineralogists, Providence, RI, 1984)
8. Geo. Assoc. of Canada, special paper no. 7, 253 (1970).
9. A. V. Jopling, J. Geophys. Res. 69, 3403 (1964).
10. S. G. Fryberger and C. Schenk, Sedimentology 28, 805 (1981).
11. R. M. Nedderman, U. Tuzun, S. B. Savage, and G. T. Houlsby, Chem. Eng. Sci. 37, 1597 (1982).
12. Hernan A. Makse, Pierre Cizeau, and H. Eugene Stanley, Phys. Rev. Lett. 78, 3298 (1997)
13. Hernan A. Makse, Phys. Rev. E 56, 7008 (1997).
14. T. Boutreux and P.-G. de Gennes, J. Phys. (France) 6, 1295 (1996).
15. Y. Grasselli and H. J. Herrmann, Granular Media (to be published)
16. Hernan A. Makse and Hans J. Herrmann (unpublished).
17. S. B. Savage, Developments in Engineering Mechanics, edited by A. P. S. Selvadurai (Elsevier, Amsterdam, 1987), p. 347
18. S. B. Savage and C. K. K. Lun, J. Fluid Mech. 189, 311 (1988).
19. K. Ridgway and R. Rupp, Powder Technol. 4, 195 (1970).
20. J. A. Drahun and J. Bridgwater, Powder Technol. 36, 39 (1983).
21. P. Y. Julien, Y. Q. Lan, and Y. Raslan, Proceedings of the Third International Conference on Powders and Grains, edited by Robert P. Behringer and James T. Jenkins (A. A. Balkema, Rotterdam, 1997), p. 487.
22. The wedge described in the model arises from granular material that has stopped flowing down the top surface of the sandpile. Consequently, the static angles of repose (θm and θc) are relevant, rather than the dynamic angle of repose.
23. R. A. Bagnold, The Physics of Blown Sand and Desert Dunes (Chapman and Hall, London, 1941).
24. Y. Grasselli and H. J. Herrmann, Physica A 246, 301 (1997).
25. P. C. Johnson, P. Nott, and R. Jackson, J. Fluid Mech. 210, 501 (1990)
26. D. M. Hanes, O. Walton, V. Zakirov, G. Locurto, and R. Bucklin, Proceedings of the Third International Conference on Powders and Grains, edited by Robert P. Behringer and James T. Jenkins (A. A. Balkema, Rotterdam, 1997), p. 459.
27. V. Eckhaus, Studies in Nonlinear Stability Theory, Springer Tracts in Natural Philososphy Vol. 6 (Springer-Verlag, Berlin, 1965).
28. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).