Homogeneous cooling of hard ellipsoids

Villemot, François; Talbot, J.

doi:10.1007/s10035-012-0322-7

Cited by 30 publications

(58 citation statements)

References 21 publications

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“…Villemot and Talbot [167] extended this subject to the homogeneous cooling of hard, smooth ellipsoids in three dimensions. An event driven numerical simulation was performed.…”

Section: Modeling Of Granular Gasesmentioning

confidence: 99%

Granular materials composed of shape-anisotropic grains

2013

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Granulate physics has made considerable progress during the past decades in the understanding of static and dynamic properties of large ensembles of interacting macroscopic particles, including the modeling of phenomena like jamming, segregation and pattern formation, the development of related industrial applications or traffic flow control. The specific properties of systems composed of shape-anisotropic (elongated or flattened) particles have attracted increasing interest in recent years. Orientational order and self-organization are among the characteristic phenomena that add to the special features of granular matter of spherical or irregular particles. An overview of this research field is given.Final version published in Soft Matter,

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“…Villemot and Talbot [167] extended this subject to the homogeneous cooling of hard, smooth ellipsoids in three dimensions. An event driven numerical simulation was performed.…”

Section: Modeling Of Granular Gasesmentioning

confidence: 99%

Granular materials composed of shape-anisotropic grains

2013

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“…9,10 In particular, for systems of mechanically different grains (granular mixtures), the mean kinetic translational and rotational energies of each component are in general different. [11][12][13] The lack of energy equipartition is also present in the special cases of one-component rough granular gases [14][15][16][17][18][19][20][21][22][23][24][25][26] and smooth granular mixtures. [27][28][29][30][31][32][33] It must be noticed that the meaning of inelastic collisions used throughout this paper should be distinguished a) Electronic mail: alasanta@ing.uc3m.es b) Electronic mail: fvega@unex.es c) Electronic mail: vicenteg@unex.es d) Electronic mail: andres@unex.es from the one commonly used in polyatomic molecular gases, where collisions make the translational energy to be converted to rotational and vibrational energies or even lead to dissociation or ionization.…”

Section: Introductionmentioning

confidence: 99%

Intruders in disguise: Mimicry effect in granular gases

et al. 2019

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In general, the total kinetic energy in a multicomponent granular gas of inelastic and rough hard spheres is unequally partitioned among the different degrees of freedom. On the other hand, partial energy equipartition can be reached, in principle, under appropriate combinations of the mechanical parameters of the system. Assuming common values of the coefficients of restitution, we use kinetic-theory tools to determine the conditions under which the components of a granular mixture in the homogeneous cooling state have the same translational and rotational temperatures as those of a one-component granular gas ("mimicry" effect).Given the values of the concentrations and the size ratios, the mimicry effect requires the mass ratios to take specific values, the smaller spheres having a larger particle mass density than the bigger spheres. The theoretical predictions for the case of an impurity immersed in a host granular gas are compared against both DSMC and molecular dynamics simulations with a good agreement.

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“…In addition, the time dependence of the scaling distribution occurs only throught a dimensionless velocity. Similar features are found if grains have different mechanical properties [7,8], are nonspherical [9,10], or even if the model includes other details of the grains, such as roughness/rotations [11,12,13,14], or velocity dependent collision coefficients [15,16,17].…”

Section: Introductionmentioning

confidence: 70%

Generalized time evolution of the homogeneous cooling state of a granular gas with positive and negative coefficient of normal restitution

Khalil¹

2018

J. Stat. Mech.

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The homogeneous cooling state (HCS) of a granular gas described by the inelastic Boltzmann equation is reconsidered. As usual, particles are taken as inelastic hard disks or spheres, but now the coefficient of normal restitution α is allowed to take negative values α ∈ [−1, 1], a simple way of modeling more complicated inelastic interactions. The distribution function of the HCS is studied at the long-time limit, as well as for intermediate times. At the long-time limit, the relevant information of the HCS is given by a scaling distribution function φ s (c), where the time dependence occurs through a dimensionless velocity c. For α −0.75, φ s remains close to the gaussian distribution in the thermal region, its cumulants and exponential tails being well described by the first Sonine approximation. On the contrary, for α −0.75, the distribution function becomes multimodal, its maxima located at c = 0, and its observable tails algebraic. The latter is a consequence of an unbalanced relaxationdissipation competition, and is analytically demonstrated for α ≃ −1 thanks to a reduction of the Boltzmann equation to a Fokker-Plank-like equation. Finally, a generalized scaling solution to the Boltzmann equation is also found φ(c, β). Apart from the time dependence occurring through the dimensionless velocity, φ(c, β) depends on time through a new parameter β measuring the departure of the HCS from its longtime limit. It is shown that φ(c, β) describes the time evolution of the HCS for almost all times. The relevance of the new scaling is also discussed.

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Homogeneous cooling of hard ellipsoids

Cited by 30 publications

References 21 publications

Granular materials composed of shape-anisotropic grains

Granular materials composed of shape-anisotropic grains

Intruders in disguise: Mimicry effect in granular gases

Generalized time evolution of the homogeneous cooling state of a granular gas with positive and negative coefficient of normal restitution

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