Hostname: page-component-8448b6f56d-sxzjt Total loading time: 0 Render date: 2024-04-23T05:31:23.630Z Has data issue: false hasContentIssue false
  • English
  • Français

Signal Propagation in Nonlinear Granular Chain

Published online by Cambridge University Press:  01 February 2011

Jongbae Hong
Jongbae Hong*
Affiliation:
Department of Physics and Center for Strongly Correlated Materials Research, Seoul National University, Seoul 151–742, Korea
Get access

Abstract

The vertical granular chain changes the elastic property of the medium due to gravity. Therefore, the solitary propagating mode in the horizontal chain disperses and damps in the vertical chain. We show that there are two different types of propagating modes, i.e., quasi-solitary and oscillatory, depending on the strength of impulse and the dispersion and damping of the signal follow power-laws. The power-law behavior in the linear oscillatory regime is explained analytically. The nonlinear solitary regime in which soliton damps and disperses due to gravity is discussed briefly.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 627: Symposium BB – The Granular State , 2000 , BB3.2
Copyright
Copyright © Materials Research Society 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Sen, S. and Sinkovits, R. S., Phys. Rev. E 54, 6857 (1996),Google Scholar
Sinkovits, R. S. and Sen, S., Phys. Rev. Lett. 74, 2686 (1995),Google Scholar
2. Sen, S., Manciu, M., and Wright, J. D., Phys. Rev. E 57, 2386 (1998).Google Scholar
3. Nesterenko, V. F., J. Appl. Mech. Tech. Phys. (USSR) 5, 733 (1984).Google Scholar
4. MacKay, R. S., Phys. Lett. A 251, 8589 (1999).Google Scholar
5. Friesecke, G. and Wattis, J. A. D., Commun. Math. Phys. 161, 391 (1994).Google Scholar
6. Ji, J.-Y. and Hong, J., Phys. Lett. A 260, 60 (1999).Google Scholar
7. Coste, C., Falcon, E., and Fauve, S., Phys. Rev. E 56, 6104 (1997).Google Scholar
8. Goddard, J. D., Proc. R. Soc. London, Ser. A 430, 105 (1990).Google Scholar
9. Hong, J., Ji, J.-Y., and Kim, H., Phys. Rev. Lett. 82, 3058 (1999).Google Scholar
10. Hong, J., Hwang, J.-P., Phys. Rev. E 61, 964 (2000).Google Scholar
11. Abramowitz, M. and Stegun, I. A., Handbook of Mathematical Functions, AMS 55 (National Bureau of Standards, 1972).Google Scholar
12. Bhatnagar, P. L., Nonlinear waves in one-dimensional dispersive systems (Clarendon, Oxford, 1979).Google Scholar