Anisotropy-driven dynamics in vibrated granular rods

作者: Dmitri Volfson , Arshad Kudrolli , Lev S. Tsimring

DOI: 10.1103/PHYSREVE.70.051312

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摘要: The dynamics of a set rods bouncing on vertically vibrated plate is investigated using experiments, simulations, and theoretical analysis. experiments simulations are performed within an annulus to impose periodic boundary conditions. Rods tilted with respect the vertical observed spontaneously develop horizontal velocity depending acceleration plate. For high acceleration, always move in direction tilt. However, also opposite tilt for small range rod A phase diagram motion presented as function which varied by changing number inside annulus. Next we introduce molecular method simulate dimensions dissipation parameters from experiments. We reproduce speeds simulations. By decreasing friction between base zero simulation, identify during collision crucial ingredient occurrence motion. Guided data construct mechanical model limit thin rods. starting point analysis single oscillating Three regimes identified: slide, slip-stick, slip reversal. formula derived angle. Good agreement found theory.

参考文章(19)
M. P. Allen, D. J. Tildesley, Computer Simulation of Liquids ,(1988)
Martin Huthmann, Timo Aspelmeier, Annette Zippelius, Granular cooling of hard needles Physical Review E. ,vol. 60, pp. 654- 659 ,(1999) , 10.1103/PHYSREVE.60.654
Fernando X. Villarruel, Benjamin E. Lauderdale, Daniel M. Mueth, Heinrich M. Jaeger, Compaction of rods: relaxation and ordering in vibrated, anisotropic granular material. Physical Review E. ,vol. 61, pp. 6914- 6921 ,(2000) , 10.1103/PHYSREVE.61.6914
Daniel L. Blair, T. Neicu, A. Kudrolli, Vortices in vibrated granular rods. Physical Review E. ,vol. 67, pp. 031303- 031303 ,(2003) , 10.1103/PHYSREVE.67.031303
Igor S. Aranson, Lev S. Tsimring, Model of coarsening and vortex formation in vibrated granular rods. Physical Review E. ,vol. 67, pp. 021305- ,(2003) , 10.1103/PHYSREVE.67.021305
Marcelo O. Magnasco, Forced thermal ratchets. Physical Review Letters. ,vol. 71, pp. 1477- 1481 ,(1993) , 10.1103/PHYSREVLETT.71.1477
R. Dean Astumian, Martin Bier, Fluctuation driven ratchets: Molecular motors. Physical Review Letters. ,vol. 72, pp. 1766- 1769 ,(1994) , 10.1103/PHYSREVLETT.72.1766
Charles R. Doering, Werner Horsthemke, Jason Riordan, Nonequilibrium fluctuation-induced transport Physical Review Letters. ,vol. 72, pp. 2984- 2987 ,(1994) , 10.1103/PHYSREVLETT.72.2984
P. Jung, J. G. Kissner, P. Hänggi, Regular and Chaotic Transport in Asymmetric Periodic Potentials: Inertia Ratchets Physical Review Letters. ,vol. 76, pp. 3436- 3439 ,(1996) , 10.1103/PHYSREVLETT.76.3436
Imre Derényi, Tamás Vicsek, Cooperative Transport of Brownian Particles Physical Review Letters. ,vol. 75, pp. 374- 377 ,(1995) , 10.1103/PHYSREVLETT.75.374