The Inelastic Maxwell Model

Ben‐Naim, E.; Krapivsky, P. L.

doi:10.1002/352760362x.ch4

Cited by 2 publications

(2 citation statements)

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“…One of the outstanding effects in granular gases is the so called clustering, a self-stabilized density instability due to dissipation [5][6][7], where large, dense collections of particles co-exist with almost empty areas. Clustering occurs in initially homogeneous systems [5][6][7][8][9][10] and should not be confused with the so-called "inelastic collapse" [5,11], the divergence of the collision rate, which is inherent to the frequently used hard (rigid) sphere model [5,6,12,13]. Freely cooling systems -mainly examined numerically and theoretically -are almost impossible to realize experimentally.…”

Section: Introductionmentioning

confidence: 99%

Driven Granular Gases

Luding

Cafiero

Herrmann

2003

Granular Gas Dynamics

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Abstract. In this paper, a two-dimensional granular gas of inelastic, rough spheres subject to driving is examined. Either the translational degrees of freedom are agitated proportional to a power |v( x)| δ of the local particle velocity v( x), or the rotational degrees are agitated randomly with respect to the angular velocity ω( x).The steady state properties of the model, with respect to energy, partition of energy, and velocity distributions, are examined for different values of δ, and compared with the homogeneous driving case δ = 0. A driving linearly proportional to v( x) seems to reproduce some experimental observations which could not be reproduced by a homogeneous driving. Furthermore, we obtain that the system can be homogenized even for strong dissipation, if a driving inversely proportional to the velocity is used (δ < 0). In the case of rotational driving, the system is well randomized and clusters are hindered. Even though rotational driving may be difficult to realize experimentally, this is an opportunity to avoid or delay the often unwanted effect of clustering.

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Section: Introductionmentioning

confidence: 99%

Driven Granular Gases

Luding

Cafiero

Herrmann

2003

Granular Gas Dynamics

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“…Among others properties, the inelastic Maxwell models exhibit similarity solutions, and these solutions represent the intermediate asymptotic of a wide class of initial conditions. In particular, Ernst and Brito [19,20,27,2,9] conjectured that these selfsimilar solutions must have a typical tail property. The first proof of Ernst-Brito conjecture for a sub-class of isotropic initial conditions was obtained in [6].…”

Section: Introductionmentioning

confidence: 99%