Translations and Rotations Are Correlated in Granular Gases

by: NV Brilliantov, T Pöschel, WT Kranz, A Zippelius

Physical Review Letters, Vol. 98, No. 12. (2007)

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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.

@article{citeulike:2553419, 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.}, author = {Brilliantov, N. V. and P\"oschel, T. and Kranz, W. T. and Zippelius, A. }, citeulike-article-id = {2553419}, doi = {10.1103/PhysRevLett.98.128001}, journal = {Physical Review Letters}, keywords = {2007, grains, rotation}, number = {12}, posted-at = {2008-03-19 01:35:44}, priority = {2}, publisher = {APS}, title = {Translations and Rotations Are Correlated in Granular Gases}, url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=PRLTAO000098000012128001000001\&idtype=cvips\&gifs=yes}, volume = {98}, year = {2007} }

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TY - JOUR ID - citeulike:2553419 L3 - citeulike-article-id:2553419 TI - Translations and Rotations Are Correlated in Granular Gases JF - Physical Review Letters VL - 98 IS - 12 PB - APS N2 - 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. KW - 2007 KW - grains KW - rotation AU - Brilliantov, NV AU - P\"oschel, T AU - Kranz, WT AU - Zippelius, A PY - 2007/// UR - http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRLTAO000098000012128001000001&idtype=cvips&gifs=yes ER -

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