Abstract
Inelastic (energy-dissipating) particles can collide an infinite number of times in finite time. This phenomenon, called inelastic collapse, is an extreme example of correlated collisions. Inelastic collapse is present in the ‘inelastic hard-sphere’ model of granular materials, where granular particles are modeled as identical spheres which interact only via instantaneous collisions. Unlike the classical hard-sphere fluid, collisions are inelastic, i.e. they dissipate energy. If two particles with relative velocity v collide, the component of the velocity along the line of centers is reduced by a factor r:
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
B. Bernu and R. Mazighi, J. Phys. A: Math. Gen. 23, 5745 (1990).
S. McNamara and W.R. Young, Phys. Fluids A 4, 496 (1992).
P. Constantin, E. L. Grossman and M. Mungan, Physica D 83, 409 (1995).
D. Benedetto and E. Caglioti, Physica D 132, 457 (1999).
S. McNamara and W.R. Young, Phys. Rev. E 50, R28 (1994).
T. Zhou and L. P. Kadanoff, Phys. Rev. E 54, 623 (1996).
S. McNamara and W.R. Young, Phys. Rev. E 53, 5089 (1996).
G. Kuwabara and K. Kono, Jap. J. of Appl. Phys. 26, 1230 (1987).
T. Schwager and T. Pöschel, Phys. Rev. E 57, 650 (1998).
F.G. Bridges, A. Hatzes and D.N.C. Lin, Nature 309, 333 (1984).
D. Goldman, M.D. Shattuck, C. Bizon, W.D. McCormick, J.B. Swift and H.L. Swinney, Phys. Rev. E 57, 4831 (1998).
S. Luding, E. Clément, A. Blumen, J. Rajchenbach and J. Duran, Phys. Rev. E 50, 4113 (1994).
E. Falcon, C. Laroche, S. Fauve and C. Coste, Eur. Phys. J. B 5, 111 (1998).
S. Luding and S. McNamara, Granular Matter 1, 111 (1998).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
McNamara, S. (2000). Inelastic Collapse. In: Karkheck, J. (eds) Dynamics: Models and Kinetic Methods for Non-equilibrium Many Body Systems. NATO Science Series, vol 371. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4365-3_15
Download citation
DOI: https://doi.org/10.1007/978-94-011-4365-3_15
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-6554-9
Online ISBN: 978-94-011-4365-3
eBook Packages: Springer Book Archive