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Translations and Rotations Are Correlated in Granular Gases

N. V. Brilliantov, T. Pöschel, W. T. Kranz, and A. Zippelius
Phys. Rev. Lett. 98, 128001 – Published 23 March 2007

Abstract

In a granular gas of rough particles the axis of rotation is shown to be correlated with the translational velocity of the particles. The average relative orientation of angular and linear velocities depends on the parameters which characterize the dissipative nature of the collision. We derive a simple theory for these correlations and validate it with numerical simulations for a wide range of coefficients of normal and tangential restitution. The limit of smooth spheres is shown to be singular: even an arbitrarily small roughness of the particles gives rise to orientational correlations.

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  • Received 8 September 2006

DOI:https://doi.org/10.1103/PhysRevLett.98.128001

©2007 American Physical Society

Authors & Affiliations

N. V. Brilliantov1,2, T. Pöschel3, W. T. Kranz4, and A. Zippelius4

  • 1Institute of Physics, University of Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany
  • 2Moscow State University, 119899 Moscow, Russia
  • 3Charité, Augustenburger Platz 1, 13353 Berlin, Germany
  • 4Institute of Theoretical Physics, University of Gottingen, 37073 Gottingen, Germany

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Issue

Vol. 98, Iss. 12 — 23 March 2007

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