Spiral patterns in oscillated granular layers

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

Volumn 63, Issue 4, 2001, Pages

  de Bruyn, John R ^a   Lewis, B C ^b   Shattuck, M D ^b   Swinney, Harry L ^b  

^a MEMORIAL UNIVERSITY OF NEWFOUNDLAND   (Canada)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GRANULAR MATERIALS; HEAT CONVECTION; MAGNETOELECTRIC EFFECTS; MATHEMATICAL MODELS; OSCILLATIONS; PROBABILITY;

RAYLEIGH-BENARD CONVECTIONS; WAVE NUMBERS;

FLOW OF FLUIDS;

EID: 0035306409     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.041305     Document Type: Article

References (66)

1. H. M. Jaeger, S. R. Nagel, and R. B. Behringer, Rev. Mod. Phys. 68, 1259 (1996).
2. L. P. Kadanoff, Rev. Mod. Phys. 71, 435 (1999).
3. S. Fauve, S. Douady, and C. Laroche, J. Phys. (Paris), Colloq. 50 C3, 187 (1989);
4. S. FauveS. DouadyC. LarocheEurophys. Lett. 8, 621 (1989).
5. B. Thomas, M. O. Mason, Y. A. Liu, and A. M. Squires, Powder Technol. 57, 267 (1989).
6. F. Melo, P. Umbanhowar, and H. L. Swinney, Phys. Rev. Lett. 72, 172 (1994).
7. F. Melo, P. B. Umbanhowar, and H. L. Swinney, Phys. Rev. Lett. 75, 3838 (1995).
8. S. Luding, E. Clément, J. Rajchenbach, and J. Duran, Europhys. Lett. 36, 247 (1996).
9. E. Clément, L. Vanel, J. Rajchenbach, and J. Duran, Phys. Rev. E 53, 2972 (1996).
10. P. B. Umbanhowar, F. Melo, and H. L. Swinney, Nature (London) 382, 793 (1996).
11. P. B. Umbanhowar, Ph.D. thesis, University of Texas at Austin, 1996 (unpublished).
12. T. Metcalf, J. B. Knight, and H. M. Jaeger, Physica A 236, 202 (1997).
13. P. B. Umbanhowar, F. Melo, and H. L. Swinney, Physica A 249, 1 (1998).
14. C. Bizon, M. D. Shattuck, J. B. Swift, W. D. McCormick, and H. L. Swinney, Phys. Rev. Lett. 80, 57 (1998).
15. J. R. de Bruyn, C. Bizon, M. D. Shattuck, D. Goldman, J. B. Swift, and H. L. Swinney, Phys. Rev. Lett. 81, 1421 (1998).
16. P. K. Das and D. Blair, Phys. Lett. A 242, 326 (1998).
17. P. B. Umbanhowar and H. L. Swinney, Physica A 274, 345 (2000).
18. C. Bizon, M. D. Shattuck, J. R. de Bruyn, J. B. Swift, W. D. McCormick, and H. L. Swinney, J. Stat. Phys. 93, 449 (1998).
19. L. S. Tsimring and I. S. Aranson, Phys. Rev. Lett. 79, 213 (1997).
20. H. Sakaguchi and H. R. Brand, J. Phys. II 7, 1325 (1997).
21. T. Shinbrot, Nature (London) 389, 574 (1997).
22. E. Cerda, F. Melo, and S. Rica, Phys. Rev. Lett. 79, 4570 (1997).
23. D. H. Rothman, Phys. Rev. E 57, 1239 (1998).
24. S. C. Venkataramani and E. Ott, Phys. Rev. Lett. 80, 3495 (1998).
25. J. Eggers and H. Riecke, Phys. Rev. E 59, 4476 (1999).
26. C. Bizon, M. D. Shattuck, and J. B. Swift, Phys. Rev. E 60, 7210 (1999).
27. M. D. Shattuck, C. Bizon, J. B. Swift, and H. L. Swinney, Physica A 274, 158 (1999).
28. S. W. Morris, E. Bodenschatz, D. S. Cannell, and G. Ahlers, Phys. Rev. Lett. 71, 2026 (1993);
29. S. W. MorrisE. BodenschatzD. S. CannellG. AhlersPhysica D 97, 164 (1996).
30. E. Bodenschatz, W. Pesch, and G. Ahlers, Annu. Rev. Fluid Mech. 32, 709 (2000).
31. W. S. Edwards and S. Fauve, J. Fluid Mech. 278, 123 (1994).
32. SC Technologies, Amarillo, TX; http://www.sctech.com.
33. ACuPowder, Union, NJ; http://www.acupowder.com.
34. B. B. Plapp and E. Bodenschatz, Phys. Scr. T67, 111 (1996).
35. B. B. Plapp, Ph.D. thesis, Cornell University, 1997 (unpublished).
36. M. Assenheimer, Ph.D. thesis, Weizmann Institute, Rehovot, Israel, 1994 (unpublished).
37. Y. Hu, R. Ecke, and Phys. Rev. E 48, 4399 (1993);
38. Y. HuR. EckePhys. Rev. Lett. 72, 2191 (1994).
39. D. A. Egolf, I. V. Melnikov, and E. Bodenschatz, Phys. Rev. Lett. 80, 3228 (1997).
40. W. Eckhaus, Studies in Nonlinear Stability Theory (Springer, New York, 1965).
41. M. C. Cross and D. I. Meiron, Phys. Rev. Lett. 75, 2152 (1995).
42. E. Bodenschatz, J. R. de Bruyn, G. Ahlers, and D. S. Cannell, Phys. Rev. Lett. 67, 3078 (1991).
43. B. B. Plapp, D. A. Egolf, E. Bodenschatz, and W. Pesch, Phys. Rev. Lett. 81, 5334 (1998).
44. A. Pocheau and F. Daviaud, Phys. Rev. E 55, 353 (1997).
45. J. R. de Bruyn, E. Bodenschatz, S. W. Morris, S. P. Trainoff, Y. Hu, D. S. Cannell, and G. Ahlers, Rev. Sci. Instrum. 67, 2043 (1996).
46. E. L. Koschmieder and S. G. Pallas, Int. J. Heat Mass Transf. 17, 991 (1974).
47. V. Croquette, M. Mory, and F. Schosseler, J. Phys. (Paris) 44, 293 (1983).
48. V. Steinberg, G. Ahlers, and D. S. Cannell, Phys. Scr. 32, 534 (1985).
49. V. Croquette, P. LeGal, A. Pocheau, and R. Guglielmetti, Europhys. Lett. 1, 393 (1986).
50. A. C. Newell, T. Passot, and M. Souli, J. Fluid Mech. 220, 187 (1990).
51. V. Croquette, Contemp. Phys. 30, 153 (1989).
52. M. C. Cross and Y. Tu, Phys. Rev. Lett. 75, 834 (1995);
53. M. Cross, Physica D 97, 65 (1996).
54. X. J. Li, H. W. Xi, and J. D. Gunton, Phys. Rev. E 54, R3105 (1996).
55. W. Pesch, Chaos 6, 348 (1996).
56. I. Aronson, M. Assenheimer, V. Steinberg, and L. S. Tsimring, Phys. Rev. E 55, R4877 (1997);
57. L. S. Tsimring, Physica A 249, 125 (1998).
58. J. B. Knight, H. M. Jaeger, and S. R. Nagel, Phys. Rev. Lett. 70, 3728 (1993).
59. M. Assenheimer and V. Steinberg, Phys. Rev. Lett. 70, 3888 (1993);
60. M. AssenheimerV. SteinbergNature (London) 367, 345 (1994).
61. H. W. Xi, J. D. Gunton, and J. Viñals, Phys. Rev. Lett. 71, 2030 (1992).
62. W. Decker, W. Pesch, and A. Weber, Phys. Rev. Lett. 73, 648 (1994).
63. K. M. S. Bajaj, D. S. Cannell, and G. Ahlers, Phys. Rev. E 55, R4869 (1997).
64. G. Ahlers, Physica A 249, 18 (1998).
65. D. Egolf, I. V. Melnikov, W. Pesch, and R. E. Ecke, Nature (London) 404, 733 (2000).
66. A. Davey, L. M. Hocking, and K. Stewartson, J. Fluid Mech. 63, 529 (1974).