Correlation of spin and velocity in the homogeneous cooling state of a granular gas of rough particles

Kranz WT, Brilliantov NV, Pöschel T, Zippelius A (2009)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2009

Journal

European Physical Journal - Special Topics Springer

Publisher: EDP Sciences: EPJ

Book Volume: 179

Pages Range: 91-111

Journal Issue: 1

DOI: 10.1140/epjst/e2010-01196-0

Abstract

In a granular gas of rough particles the spin of a grain is correlated with its linear velocity. We develop an analytical theory to account for these correlations and compare its predictions to numerical simulations, using Direct Simulation Monte Carlo as well as Molecular Dynamics. The system is shown to relax from an arbitrary initial state to a steady-state, which is characterized by time-independent, finite correlations of spin and linear velocity. The latter are analyzed systematically for a wide range of system parameters, including the coefficients of tangential and normal restitution as well as the moment of inertia of the particles. For most parameter values the axis of rotation and the direction of linear momentum are perpendicular like in a sliced tennis ball, while parallel orientation, like in a rifled bullet, occurs only for a small range of parameters. The limit of smooth spheres is singular: any arbitrarily small roughness unavoidably causes significant translation-rotation correlations, whereas for perfectly smooth spheres the rotational degrees of freedom are completely decoupled from the dynamic evolution of the gas. © 2009 EDP Sciences and Springer.

Authors with CRIS profile

Thorsten Pöschel Lehrstuhl für Multiscale Simulation of Particulate Systems (MSS)

Additional Organisation(s)

Exzellenz-Cluster Engineering of Advanced Materials (EAM)

Involved external institutions

Max-Planck-Institut für biophysikalische Chemie (Karl-Friedrich-Bonhoeffer-Institut) / Max Planck Institute for Biophysical Chemistry DE Germany (DE) Universität Potsdam DE Germany (DE)

How to cite

APA:

Kranz, W.T., Brilliantov, N.V., Pöschel, T., & Zippelius, A. (2009). Correlation of spin and velocity in the homogeneous cooling state of a granular gas of rough particles. European Physical Journal - Special Topics, 179(1), 91-111. https://doi.org/10.1140/epjst/e2010-01196-0

MLA:

Kranz, W. T., et al. "Correlation of spin and velocity in the homogeneous cooling state of a granular gas of rough particles." European Physical Journal - Special Topics 179.1 (2009): 91-111.

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