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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/7235
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dc.contributor.authorPrasad, V.V.-
dc.contributor.authorDas, Dibyendu-
dc.contributor.authorSabhapandit, Sanjib-
dc.contributor.authorRajesh, R-
dc.date.accessioned2019-07-03T18:37:36Z-
dc.date.available2019-07-03T18:37:36Z-
dc.date.issued2019-06-
dc.identifier.citationJournal of Statistical Mechanics: Theory and Experiment, 2019,en_US
dc.identifier.issn1742-5468-
dc.identifier.urihttp://hdl.handle.net/2289/7235-
dc.descriptionRestricted Access.en_US
dc.description.abstractThe granular gas is a paradigm for understanding the effects of inelastic interactions in granular materials. Kinetic theory provides a general theoretical framework for describing the granular gas. Its central result is that the tail of the velocity distribution of a driven granular gas is a stretched exponential that, counterintuitively, decays slower than that of the corresponding elastic gas in equilibrium. However, a derivation of this result starting from a microscopic model is lacking. Here, we obtain analytical results for a microscopic model for a granular gas where particles with two-dimensional velocities are driven homogeneously and isotropically by reducing the velocities by a factor and adding a stochastic noise. We find two universal regimes. For generic physically relevant driving, we find that the tail of the velocity distribution is a Gaussian with additional logarithmic corrections. Thus, the velocity distribution decays faster than the corresponding equilibrium gas. The second universal regime is less generic and corresponds to the scenario described by kinetic theory. Here, the velocity distribution is shown to decay as an exponential with additional logarithmic corrections, in contradiction to the predictions of the phenomenological kinetic theory, necessitating a re-examination of its basic assumptions.en_US
dc.language.isoenen_US
dc.publisherIOP Publishing and SISSAen_US
dc.relation.urihttps://arxiv.org/abs/1804.02558en_US
dc.relation.urihttps://doi.org/10.1088/1742-5468/ab11daen_US
dc.rights2019 IOP Publishing and SISSAen_US
dc.subjectgases dynamicsen_US
dc.subjectexact resultsen_US
dc.subjectstochastic particle dynamicsen_US
dc.subjectkinetic theory of gases and liquidsen_US
dc.titleVelocity distribution of driven granular gasesen_US
dc.typeArticleen_US
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