Symmetric heaping in grains: A phenomenological model

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

Volumn 61, Issue 5, 2000, Pages 5593-5599

  Lai, Pik Yin ^a,b   Jia, L C ^a   Chan, C K ^b  

^a NATIONAL CENTRAL UNIVERSITY   (Taiwan)

^b INSTITUTE OF PHYSICS   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED FORM; DYNAMIC VARIABLES; JACOBIAN ELLIPTIC FUNCTION; NONLINEAR COUPLING; PHENOMENOLOGICAL MODELING; SIMPLE MODELING; STEADY STATE; VIBRATION STRENGTH;

EID: 0039206257     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.5593     Document Type: Article

References (28)

1. H. M. Jaeger, S. R. Nagel, and R. P. Behringer, Rev. Mod. Phys. 68, 1259 (1996).
2. R. Jullien, P. Meakin, and A. Pavlovitch, Europhys. Lett. 22, 523 (1993).
3. J. B. Knight, H. M. Jaeger, and S. R. Nagel, Phys. Rev. Lett. 70, 3728 (1993).
4. T. Shinbrot, and F. J. Muzzio, Phys. Rev. Lett. 81, 4365 (1998).
5. H. K. Pak and R. P. Behringer, Phys. Rev. Lett. 71, 1832 (1993)
6. H. K. PakR. P. BehringerNature (London) 371, 231 (1994).
7. J. B. Knight, E. E. Ehrichs, V. Yu Kuperman, J. K. Flint, H. M. Jaeger, and S. R. Nagel, Phys. Rev. E 54, 5726 (1996).
8. F. Melo, P. P. Umbanhowar, and H. L. Swinney, Phys. Rev. Lett. 72, 172 (1994)
9. Phys. Rev. Lett.F. MeloP. P. UmbanhowarH. L. Swinney75, 3838 (1995).
10. C. Bizon, M. D. Shattuck, J. B. Swift, W. D. McCormick, and H. L. Swinney, Phys. Rev. Lett. 80, 57 (1998).
11. P. Evesque and J. Rajchenbach, Phys. Rev. Lett. 62, 44 (1989).
12. E. Clement, J. Duran, and J. Rajchenbach, Phys. Rev. Lett. 69, 1189 (1992).
13. C. Laroche, S. Douady, and S. Fauve, J. Phys. (Paris) 50, 699 (1989).
14. K. M. Aoki, T. Akiyama, Y. Maki, and T. Watanabe, Phys. Rev. E 54, 874 (1996)
15. K. M. Aoki, T. Akiyama, K. Yamamoto, and T. Yoshikawa, Europhys. Lett. 40, 159 (1997).
16. J. B. Knight, Phys. Rev. E 55, 6016 (1997).
17. H. S. Caram and D. C. Hong, Mod. Phys. Lett. A 6, 761 (1992).
18. H. Hayakawa, S. Yue, and D. C. Hong, Phys. Rev. Lett. 75, 2328 (1995).
19. T. Shinbrot, D. Khakhar, J. J. McCarthy, and J. M. Ottino, Phys. Rev. Lett. 79, 829 (1997).
20. H. K. Pak and P. R. Behringer, Nature (London) 371, 231 (1994)
21. H. K. Pak, E. Van Doorn, and R. P. Behringer, Phys. Rev. Lett. 74, 4643 (1995).
22. J. A. C. Gallas, H. J. Herrmann, and S. Sokolowski, Phys. Rev. Lett. 69, 1371 (1992).
23. Y.-H. Taguchi, Phys. Rev. Lett. 69, 1367 (1992).
24. J. Pan and S. S. Hsiau, Ad. Powder Technol. 7, 173 (1996)
25. S. S. Hsiau and S. J. Pan, Powder Technol. 96, 219 (1998).
26. L. C. Jia, P. Y. Lai, and C. K. Chan, Phys. Rev. Lett. 83, 3832 (1999).
27. P. Y. Lai, Chin. J. Phys. (to be published).
28. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).