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Temperature of a granular gas with regard to the stochastic nature of particle interactions

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Temperature of a granular gas with regard to the stochastic nature of particle interactions
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CC Attribution 3.0 Unported:
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2013
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English

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Abstract
The decay of temperature of a force-free granular gas in the homogeneous cooling state depends on the specific model for particle interaction. For the case of rough spheres, in recent experimental and theoretical work, the coefficient of restitution was characterized as a fluctuating quantity. We show that for such particles, the decay of temperature with time follows the law which deviates from Haff's law, T ~ t−2, obtained for gases of particles interacting via a constant coefficient of restitution also from obtained for gases of viscoelastic particles. Our results are obtained from kinetic theory and are in very good agreement with Monte Carlo simulations.

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granular materials as systems of dissipatedly injecting macroscopic particles in addressing known as a granular cast into grains index mainly by instantaneous binary collisions due to the inelastic nature of the collisions the system uses energy which is expressed by the decay in time of the granular temperature defined as the mean in of free energy per particle the evolution of forestry granular cast passes through several stages after a fast kinetic
regime the system converges to its typical velocity distribution which describes the so-called homogeneous cooling state the temperature decreases due to
dissipative collisions wider system remains spatially homogeneous later local density fluctuations may need to the spontaneous formation of clusters which may become in stable depending on the particle interactions in our paper we are interested in the decay of temperature and the homogeneous cooling state the coding of a granular cast depends on the particle in data to model of the system the inelastic nature after
collisions is characterized by a coefficient of Mama restitution defined as the ratio of the normal component of 2 relative velocities before and after the collision Standard descriptions of granular gasses consider constant coefficient of restitution he'd into a queen behavior known as half slot of viscoelastic Pakhtakor's using a different cooling recently it has been shown
in experiments as well as simulations that the coefficient of Mama restitution describing the collision of graphs yes previous was the plastic nature that can be described by a double exponential probability density here we see histograms of the coefficient of restitution for different impact velocities obtained by experiments of particle in bits of a raft spherical particle we sell by means
of kinetic theory and simulations that the query mania twenties Pakhtakor's idiots from half-slot as well as from the expression for viscoelastic patterns although the deviation from the
viscoelastic case is very small and the stochastic nature has a clear impact on the system that
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