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Higher-order effects on orientational correlation and relaxation dynamics in homogeneous cooling of a rough granular gas

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dc.contributor.author Rongali, Ramakrishna
dc.contributor.author Alam, Meheboob
dc.date.accessioned 2017-02-21T07:03:03Z
dc.date.available 2017-02-21T07:03:03Z
dc.date.issued 2014
dc.identifier.citation Rongali, R; Alam, M, Higher-order effects on orientational correlation and relaxation dynamics in homogeneous cooling of a rough granular gas. Physical Review E 2014, 89 (6), 62201 http://dx.doi.org/10.1103/PhysRevE.89.062201 en_US
dc.identifier.citation Physical Review E en_US
dc.identifier.citation 89 en_US
dc.identifier.issn The orientational or angular correlation between the directions of the translational and rotational motions is analyzed theoretically for the homogeneous cooling state of a rough granular gas. The dynamical equations are derived using an approximate form of the single-particle distribution function that incorporates angular correlations. The goal is to assess the effects of higher-order angular corrections for which both quadratic- and quartic-order terms (in translational and rotational velocities of particles) are retained in the perturbation expansion of the distribution function. We show that higher-order corrections can markedly affect the steady-state orientational correlation when the normal restitution coefficient is moderate or small, and this effect is more prominent for nearly smooth particles. The transient evolution of orientational correlation is found to be significantly affected by higher-order terms. In particular the higher-order orientational correlations can dominate over the leading-order contribution during short times even in the quasi-elastic limit, although the steady correlation remains unaffected by such corrections in the same limit. The buildup of correlations during the transient stage seems to be closely tied to the evolution of the ratio between the rotational and translational temperatures. It is demonstrated that the transient dynamics of the temperature ratio and its steady state remain insensitive to higher-order angular correlation.
dc.identifier.uri https://libjncir.jncasr.ac.in/xmlui/10572/2439
dc.description http://dx.doi.org/10.1103/PhysRevE.89.062201 en_US
dc.description.abstract @American Physical Society, 2014 en_US
dc.description.uri 2470-0045 en_US
dc.description.uri 2470-0053 en_US
dc.language.iso 6 en_US
dc.publisher English en_US
dc.rights American Physical Society en_US
dc.subject Fluids & Plasmas Physics en_US
dc.subject Mathematical Physics en_US
dc.subject Kinetic-Theory en_US
dc.subject Elastic Spheres en_US
dc.subject Shear-Flow en_US
dc.subject Particles en_US
dc.subject Stability en_US
dc.subject Friction en_US
dc.subject Velocity en_US
dc.subject Energy en_US
dc.subject Fluid en_US
dc.subject State en_US
dc.title Higher-order effects on orientational correlation and relaxation dynamics in homogeneous cooling of a rough granular gas en_US
dc.type Article en_US


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