Hostname: page-component-848d4c4894-89wxm Total loading time: 0 Render date: 2024-07-06T00:44:57.575Z Has data issue: false hasContentIssue false
  • English
  • Français

Friction Based Segregation Of 2D Granular Assembly

Published online by Cambridge University Press:  10 February 2011

L. Kondic ,
S. G. K. Tennakoon ,
B. Painter  and
R. Behringer
L. Kondic
Affiliation:
Department of Physics and Center for Nonlinear and Complex Systems, Duke University, Durham, NC 27708,
S. G. K. Tennakoon
Affiliation:
Department of Physics and Center for Nonlinear and Complex Systems, Duke University, Durham, NC 27708,
B. Painter
Affiliation:
Department of Physics and Center for Nonlinear and Complex Systems, Duke University, Durham, NC 27708,
R. Behringer
Affiliation:
Department of Physics and Center for Nonlinear and Complex Systems, Duke University, Durham, NC 27708,
Get access

Abstract

We present theoretical, computational (molecular dynamics), and experimental results describing the dynamical properties of a set of monodisperse, spherical particles confined to a two dimensional surface. An interaction model, which includes the interaction between the particles via collisions as well as the interaction with the substrate, shows that the properties of this granular system are influenced significantly by the latter. In particular, we analyze in detail the effects of slipping and rolling friction, which are usually overlooked. Theoretically, we explore the possibility of formulating a continuum, hydrodynamic-like theory applicable to this system. Further, we apply our model to the particular problem of a system of two kinds of particles with different frictional properties. Our experiments have found that friction-based segregation of particles moving on a horizontally shaken substrate can be achieved. Computational results give further insight into this novel segregation mechanism and confirm that careful and realistic modeling is needed in order to understand this effect.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 543: Symposium W – Dynamics in Small Confining Systems IV , 1998 , 357
Copyright
Copyright © Materials Research Society 1999

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

[1] Evesque, P., Contemporary Physics 33, (1992) 245; O. Pouliquen, M. Nicholas, and P. D. Weidman, Phys. Rev. Lett. 79, 3640 (1997); K. Liffman, G. Metcalfe, and P. Cleary Phys. Rev. Lett. 79, 4574 (1997); G. H. Ristow, G. Strassburger, and I. Rehberg, Phys. Rev. Lett. 79, 833 (1997); D. E. Rosenkranz and T. Pbschel, cond-mat/9712108 preprint (1997).Google Scholar
[2] S. Tennakoon, G. K., Kondic, L., and Behringer, R., to appear in Europhys. Lett. (1988).Google Scholar
[3] Kudrolli, A., Wolpert, M., and Gollub, J. P., Phys. Rev. Lett. 78, 1383 (1997).Google Scholar
[4] Rabinowicz, E., Friction and Wear of Materials, (Wiley, New York, 1965); F. Heslot, T. Baumberger, B. Perin, B. Caroli, and C. Caroli, Phys. Rev. E 49 4973 (1994).Google Scholar
[5] Du, Y., Li, H., and Kadanoff, L. P., Phys. Rev. Lett. 74, 1268 (1995); Grossman, E. L.,Zhou, T., and Ben-Naim, E., Phys. Rev. E 55, 4200 (1997).Google Scholar
[6] Kondic, L., cond-mat/9811076, submitted to Phys. Rev. E., (1988)Google Scholar
[7] S. Luding, Clement, E., Blumen, A., Rajchenbach, J., and Duran, J., Phys. Rev. E 50,4113 (1994).Google Scholar
[8] Painter, B., Tennakoon, S. G. K., Kondic, L., and Behringer, R., in preparation.Google Scholar
[9] Grest, G. S. and Kremer, K., Comp. Phys. Comm. 55, 269 (1989).Google Scholar