Pulse propagation in tapered granular chains: An analytic study

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

Volumn 80, Issue 3, 2009, Pages

  Harbola, Upendra ^a   Rosas, Alexandre ^b   Esposito, Massimiliano ^a,c   Lindenberg, Katja ^a  

^a UNIVERSITY OF CALIFORNIA SAN DIEGO   (United States)

^b FEDERAL UNIVERSITY OF PARAÍBA   (Brazil)

^c UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

BINARY COLLISION APPROXIMATIONS; NUMERICAL RESULTS; PULSE PROPAGATION; PULSE VELOCITY;

PLASMAS;

EID: 70349777457     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.031303     Document Type: Article

References (24)

1. V. F. Nesterenko, J. Appl. Mech. Tech. Phys. 24, 733 (1983). 10.1007/BF00905892
2. A. N. Lazaridi and V. F. Nesterenko, J. Appl. Mech. Tech. Phys. 26, 405 (1985). 10.1007/BF00910379
3. V. F. Nesterenko, Dynamics of Heterogeneous Materials (Springer, New York, 2001).
4. S. Job, F. Melo, A. Sokolow, and S. Sen, Phys. Rev. Lett. 94, 178002 (2005). 10.1103/PhysRevLett.94.178002 (Pubitemid 41492298)
5. A. Rosas and K. Lindenberg, Phys. Rev. E 68, 041304 (2003). 10.1103/PhysRevE.68.041304
6. A. Rosas and K. Lindenberg, Phys. Rev. E 69, 037601 (2004). 10.1103/PhysRevE.69.037601
7. E. J. Hinch and S. Saint-Jean, Proc. R. Soc. London, Ser. A 455, 3201 (1999). 10.1098/rspa.1999.0447
8. P. J. Wang, J. H. Xia, Y. D. Li, and C. S. Liu, Phys. Rev. E 76, 041305 (2007). 10.1103/PhysRevE.76.041305 (Pubitemid 350006867)
9. A. Rosas, A. H. Romero, V. F. Nesterenko, and K. Lindenberg, Phys. Rev. Lett. 98, 164301 (2007). 10.1103/PhysRevLett.98.164301 (Pubitemid 46626886)
10. A. Rosas, A. H. Romero, V. F. Nesterenko, and K. Lindenberg, Phys. Rev. E 78, 051303 (2008). 10.1103/PhysRevE.78.051303
11. C. Coste, E. Falcon, and S. Fauve, Phys. Rev. E 56, 6104 (1997). 10.1103/PhysRevE.56.6104
12. V. F. Nesterenko, J. Phys. IV 4, C8-729 (1994). 10.1051/jp4:19948112
13. A. Sokolow, E. G. Bittle, and S. Sen, EPL 77, 24002 (2007). 10.1209/0295-5075/77/24002
14. S. Sen, Phys. Rep. 462, 21 (2008). 10.1016/j.physrep.2007.10.007
15. R. Doney and S. Sen, Phys. Rev. Lett. 97, 155502 (2006). 10.1103/PhysRevLett.97.155502 (Pubitemid 44570271)
16. D. T. Wu, Physica A 315, 194 (2002). 10.1016/S0378-4371(02)01240-2 (Pubitemid 35412061)
17. R. L. Doney and S. Sen, Phys. Rev. E 72, 041304 (2005). 10.1103/PhysRevE.72.041304
18. A. Sokolow, J. M. M. Pfannes, R. L. Doney, M. Nakagawa, J. H. Agui, and S. Sen, Appl. Phys. Lett. 87, 254104 (2005). 10.1063/1.2149218
19. S. Sen, F. S. Manciu, and M. Manciu, Physica A 299, 551 (2001). 10.1016/S0378-4371(01)00340-5 (Pubitemid 32935250)
20. F. Melo, S. Job, F. Santibanez, and F. Tapia, Phys. Rev. E 73, 041305 (2006). 10.1103/PhysRevE.73.041305 (Pubitemid 43672766)
21. S. Job, F. Melo, A. Sokolow, and S. Sen, Granular Matter 10, 13 (2007). 10.1007/s10035-007-0054-2 (Pubitemid 350115268)
22. L. D. Landau and E. M. Lifshitz, Theory of Elasticity (Addison-Wesley, Massachusetts, 1959).
23. H. Hertz, J. Reine Angew. Math. 92, 156 (1881).
24. T. Pöschel and N. V. Brilliantov, Phys. Rev. E 63, 021505 (2001). 10.1103/PhysRevE.63.021505