Phase bubbles and spatiotemporal chaos in granular patterns

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 65, Issue 1, 2002, Pages

  Moon, Sung Joon ^a   Shattuck, M D ^a,c   Bizon, C ^b   Goldman, Daniel I ^a   Swift, J B ^a   Swinney, Harry L ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b Northwest Research Associates Inc ^*  (United States)

^c CITY COLLEGE OF NEW YORK   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INELASTIC BALL MODELS; OSCILATED GRANULAR LAYERS; PHASE BUBBLES; SPATIOTEMPORAL CHAOS;

APPROXIMATION THEORY; CHAOS THEORY; COMPUTER SIMULATION; GRAVITATIONAL EFFECTS; MATHEMATICAL MODELS; METHOD OF MOMENTS; MOLECULAR DYNAMICS; NATURAL FREQUENCIES; OSCILLATIONS; PHASE SHIFT;

GRANULAR MATERIALS;

EID: 37649032970     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.64.0613XX     Document Type: Article

References (27)

1. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
2. V. Steinberg, E. Moses, and J. Fineberg, Nucl. Phys. B (Proc. Suppl.) 2, 109 (1987); P. Kolodner, J. A. Glazier, and H. Williams, Phys. Rev. Lett 65, 1579 (1990).
3. V. Steinberg, E. Moses, and J. Fineberg, Nucl. Phys. B (Proc. Suppl.) 2, 109 (1987); P. Kolodner, J. A. Glazier, and H. Williams, Phys. Rev. Lett 65, 1579 (1990).
4. A. Pocheau, V. Croquette, and P. Le Gal, Phys. Rev. Lett. 55, 1094 (1985).
5. S. W. Morris, E. Bodenschatz, D. S. Cannell, and G. Ahlers, Phys. Rev. Lett. 71, 2026 (1993).
6. R. Ribotta and A. Joets, in Cellular Structures and Instabilities, edited by J. E. Wesfried and S. Zaslavski (Springer-Verlag, Berlin, 1984); I. Rehberg, S. Rasenat, and V. Steinberg, Phys. Rev. Lett. 62, 756 (1989).
7. R. Ribotta and A. Joets, in Cellular Structures and Instabilities, edited by J. E. Wesfried and S. Zaslavski (Springer-Verlag, Berlin, 1984); I. Rehberg, S. Rasenat, and V. Steinberg, Phys. Rev. Lett. 62, 756 (1989).
8. Q. Ouyang and H. L. Swinney, Chaos 1, 411 (1991); Q. Ouyang, H. L. Swinney, and G. Li, Phys. Rev. Lett. 84, 1047 (2000).
9. Q. Ouyang and H. L. Swinney, Chaos 1, 411 (1991); Q. Ouyang, H. L. Swinney, and G. Li, Phys. Rev. Lett. 84, 1047 (2000).
10. A. B. Ezerskiǐ, M. I. Rabinovich, V. P. Reutov, and I. M. Starobinets, Sov. Phys. JETP 64, 1228 (1986); A. Kudrolli and J. P. Gollub, Physica D 97, 133 (1996).
11. A. B. Ezerskiǐ, M. I. Rabinovich, V. P. Reutov, and I. M. Starobinets, Sov. Phys. JETP 64, 1228 (1986); A. Kudrolli and J. P. Gollub, Physica D 97, 133 (1996).
12. C. S. Bretherton and E. A. Spiegel, Phys. Lett. 96A, 152 (1983).
13. B. I. Shraiman, Phys. Rev. Lett. 57, 325 (1986), and references therein.
14. P. Coullet, L. Gil, and F. Rocca, Opt Commun. 73, 403 (1989).
15. J.-P. Eckmann and I. Procaccia, Phys. Rev. Lett. 66, 891 (1991).
16. M. C. Cross and Y. Tu, Phys. Rev. Lett. 75, 834 (1995); M. Cross, Physica D 97, 65 (1996).
17. M. C. Cross and Y. Tu, Phys. Rev. Lett. 75, 834 (1995); M. Cross, Physica D 97, 65 (1996).
18. F. Melo, P. B. Umbanhowar, and H. L. Swinney, Phys. Rev. Lett. 72, 172 (1994).
19. C. Bizon, M. D. Shattuck, J. B. Swift, W. D. McCormick, and H. L. Swinney, Phys. Rev. Lett. 80, 57 (1998).
20. O. R. Walton, in Particulate Two-Phase Flow, edited by M. C. Roco (Butterworth-Heinemann, Boston, 1993), p. 884.
21. F. Melo, P. B. Umbanhowar, and H. L. Swinney, Phys. Rev. Lett. 75, 3838 (1995).
22. Modeling an oscillated granular layer as a perfectly inelastic mass is an old idea. Its dynamics with varying forcing was systematically studied in A. Mehta and J. M. Luck, Phys. Rev. Lett. 65, 393 (1990).
23. An animated movie can be found at http://chaos.ph.utexas.edu/research/ moon.
24. I. S. Aranson, D. Blair, W. K. Kwok, G. Karapetrov, U. Welp, G. W. Crabtree, V. M. Vinokur, and L. S. Tsimring, Phys. Rev. Lett. 82, 731 (1999).
25. S. Douady, S. Fauve, and C. Laroche, Europhys. Lett. 8, 621 (1989).
26. C. R. Wassgren, C. E. Brennen, and M. L. Hunt, Trans. ASME 63, 712 (1996).
27. Y. Lan and A. D. Rosato, Phys. Fluids 9, 3615 (1997).