Abstract
We investigate the dynamics of an intruder pulled by a constant force in a dense two-dimensional granular fluid by means of event-driven molecular dynamics simulations. In a first step, we show how a propagating momentum front develops and compactifies the system when reflected by the boundaries. To be closer to recent experiments (Candelier and Dauchot in Phys Rev 81(1):011304, 2010; Phys Rev 103(12):128001, 2009), we then add a frictional force acting on each particle, proportional to the particle’s velocity. We show how to implement frictional motion in an event-driven simulation. This allows us to carry out extensive numerical simulations aiming at the dependence of the intruder’s velocity on packing fraction and pulling force. We identify a linear relation for small and a nonlinear regime for high pulling forces and investigate the dependence of these regimes on granular temperature.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
Candelier R., Dauchot O.: Journey of an intruder through the fluidization and jamming transitions of a dense granular media. Phys. Rev. E 81(1), 011304 (2010)
Candelier R., Dauchot O.: Creep motion of an intruder within a granular glass close to jamming. Phys. Rev. Lett. 103(12), 128001 (2009)
Hastings M., Olson Reichhardt C., Reichhardt C.: Depinning by fracture in a glassy background. Phys. Rev. Lett. 90(9), 98302 (2003)
Habdas A., Schaar D., Levitt A., Weeks E.: Forced motion of a probe particle near the colloidal glass transition. EPL (Europhys. Lett.) 67, 477 (2004)
Gazuz I., Puertas A., Voigtmann T., Fuchs M.: Active and nonlinear microrheology in dense colloidal suspensions. Phys. Rev. Lett. 102, 248302 (2009)
Zik O., Stavans J., Rabin Y.: Mobility of a sphere in vibrated granular media. EPL (Europhys. Lett.) 17(4), 315 (1992)
Sarracino A., Villamaina D., Gradenigo G., Puglisi A.: Irreversible dynamics of a massive intruder in dense granular fluids. EPL (Europhys. Lett.) 92, 34001 (2010)
Olson Reichhardt C., Reichhardt C.: Fluctuations, jamming, and yielding for a driven probe particle in disordered disk assemblies. Phys. Rev. E 82, 051306 (2010)
Kranz W., Sperl M., Zippelius A.: Glass transition for driven granular fluids. Phys. Rev. Lett. 104, 225701 (2010)
Oger, L., Annic, C., Bideau, D., Dai, R., Savage, S.: Diffusion of two-dimensional particles on an air table. J. Stat. Phys. 82, 1047 (1996). doi:10.1007/BF02179801
Abate A.R., Durian D.J.: Approach to jamming in an air-fluidized granular bed. Phys. Rev. E 74(3), 031308 (2006)
Abate A.R., Durian D.J.: Topological persistence and dynamical heterogeneities near jamming. Phys. Rev. E 76(2), 021306 (2007)
Olafsen J.S., Urbach J.S.: Two-dimensional melting far from equilibrium in a granular monolayer. Phys. Rev. Lett. 95(9), 098002 (2005)
Reis P.M., Ingale R.A., Shattuck M.D.: Crystallization of a quasi-two-dimensional granular fluid. Phys. Rev. Lett. 96(25), 258001 (2006)
Reis P.M., Ingale R.A., Shattuck M.D.: Caging dynamics in a granular fluid. Phys. Rev. Lett. 98(18), 188301 (2007)
Fiege A., Aspelmeier T., Zippelius A.: Long-time tails and cage effect in driven granular fluids. Phys. Rev. Lett. 102(9), 098001 (2009)
Aspelmeier T., Huthmann M., Zippelius A.: Free cooling of particles with rotational degrees of freedom. In: Pöschel, T., Luding, S. (eds) Granular Gases Lecture Notes in Physics vol 564., pp. 31–58. Springer, Berlin/Heidelberg (2001)
Kranz, W.T.: Dense granular fluids and the granular glass transition. Ph.D. thesis, Georg-August-Universität Göttingen (2011)
Boon J., Yip S.: Molecular Hydrodynamics. Dover Pubns, New York (1991)
Alder B., Wainwright T.: Studies in molecular dynamics. i. general method. J. Chem. Phys. 31, 459 (1959)
Lubachevsky B.D.: How to simulate billiards and similar systems. J. Comput. Phys 94(2), 255 (1991)
Gholami I., Fiege A., Zippelius A.: Slow dynamics and precursors of the glass transition in granular fluids. Phys. Rev. E 84(3), 031305 (2011)
Jabeen Z., Rajesh R., Ray P.: Universal scaling dynamics in a perturbed granular gas. EPL (Europhys. Lett) 89, 34001 (2010)
Gomez, L., Turner, A., van Hecke, M., Vitelli, V.: Shock waves in jammed solids. In APS Meeting Abstracts, vol. 1, p. 13007 (2011)
Acknowledgements
We thank T. Aspelmeier, I. Gholami, C. Heussinger, T. Kranz and S. Ulrich for many useful discussions. We furthermore acknowledge support from the DFG by FOR 1394.
Open Access
This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
Dedicated to Isaac Goldhirsch.
Rights and permissions
Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Fiege, A., Grob, M. & Zippelius, A. Dynamics of an intruder in dense granular fluids. Granular Matter 14, 247–252 (2012). https://doi.org/10.1007/s10035-011-0309-9
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10035-011-0309-9