Title:	Velocity distribution of driven granular gases
Authors:	Prasad, V.V. Das, Dibyendu Sabhapandit, Sanjib Rajesh, R
Keywords:	gases dynamics exact results stochastic particle dynamics kinetic theory of gases and liquids
Issue Date:	Jun-2019
Publisher:	IOP Publishing and SISSA
Citation:	Journal of Statistical Mechanics: Theory and Experiment, 2019,
Abstract:	The 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.
Description:	Restricted Access.
URI:	http://hdl.handle.net/2289/7235
ISSN:	1742-5468
Alternative Location:	https://arxiv.org/abs/1804.02558 https://doi.org/10.1088/1742-5468/ab11da
Copyright:	2019 IOP Publishing and SISSA
Appears in Collections:	Research Papers (TP)

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