Inelastic collapse of a ball bouncing on a randomly vibrating platform

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

Volumn 76, Issue 3, 2007, Pages

  Majumdar, Satya N ^a   Kearney, Michael J ^b  

^a UNIVERSITÉ PARIS SUD   (France)

^b UNIVERSITY OF SURREY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC NOISE; NUMERICAL METHODS; VIBRATION ANALYSIS;

DECAY EXPONENTS; PLATFORM NOISE DISTRIBUTION;

RANDOM PROCESSES;

EID: 34848900454     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.031130     Document Type: Article

References (28)

1. H. M. Jaeger, S. R. Nagel, and R. P. Behringer, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.68.1259 68, 1259 (1996).
2. L. P. Kadanoff, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.71. 435 71, 435 (1999).
3. J. Rajchenbach, Adv. Phys. ADPHAH 0001-8732 10.1080/000187300243372 49, 229 (2000).
4. S. McNamara and W. R. Young, Phys. Fluids A PFADEB 0899-8213 10.1063/1.858323 4, 496 (1992).
5. S. McNamara and W. R. Young, Phys. Fluids A PFADEB 0899-8213 10.1063/1.858896 5, 34 (1993).
6. A. Mehta and J. M. Luck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.393 65, 393 (1990).
7. J. M. Luck and A. Mehta, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.48.3988 48, 3988 (1993).
8. P. Devillard, J. Phys. I JPGCE8 1155-4304 10.1051/jp1:1994180 4, 1003 (1994).
9. S. J. Cornell, M. R. Swift, and A. J. Bray, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.1142 81, 1142 (1998).
10. T. W. Burkhardt, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.011111 63, 011111 (2000).
11. T. W. Burkhardt, Physica A PHYADX 0378-4371 306, 107 (2002).
12. T. W. Burkhardt and S. N. Kotsev, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.026105 70, 026105 (2004).
13. S. N. Kotsev and T. W. Burkhardt, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.046115 71, 046115 (2005).
14. S. Warr, W. Cooke, R. C. Ball, and J. M. Huntley, Physica A PHYADX 0378-4371 10.1016/0378-4371(96)00102-1 231, 551 (1996).
15. J. S. Olafsen and J. S. Urbach, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.4369 81, 4369 (1998).
16. S. Warr and J. M. Huntley, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.5596 52, 5596 (1995).
17. I. S. Gradshteyn and I. M. Rhyzhik, Tables of Integrals, Series and Products, 5th ed. (Academic Press, London, 1994).
18. E. Sparre Andersen, Math. Scand. MTSCAN 0025-5521 1, 263 (1953);
19. E. Sparre Andersen, Math. Scand. MTSCAN 0025-5521 2, 195 (1954).
20. H. Larralde, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/12/003 37, 3759 (2004).
21. M. J. Kearney and S. N. Majumdar, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/19/004 38, 4097 (2005).
22. S. Redner, A Guide to First-Passage Processes (Cambridge University Press, Cambridge, England, 2001).
23. A. N. Borodin and P. Salminen, Handbook of Brownian Motion-Facts and Formulae, 2nd ed. (Birkhauser, Basel, 2002).
24. D. S. Dean and S. N. Majumdar, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/34/49/102 34, L697 (2001).
25. S. N. Majumdar, Curr. Sci. CUSCAM 0011-3891 89, 2076 (2005);
26. e-print arXiv:cond-mat/0510064.
27. S. N. Majumdar, A. J. Bray, and G. C. M. A. Ehrhardt, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.015101 64, 015101 (R) (2001).
28. C. W. Gardiner, Handbook of Stochastic Methods, 3rd ed. (Springer, Berlin, 2004).