Mean field theory for a driven granular gas of frictional particles

Raffaele Cafiero; Stefan Luding

doi:10.1016/S0378-4371(99)00630-5

Mean field theory for a driven granular gas of frictional particles

Raffaele Cafiero, Stefan Luding

Research output: Contribution to journal › Conference article › Academic › peer-review

10 Citations (Scopus)

Abstract

We propose a mean field (MF) theory for a homogeneously driven granular gas of inelastic particles with Coulomb friction. The model contains three parameters, a normal restitution coefficient r_n, a maximum tangential restitution coefficient r_t^m and a Coulomb friction coefficient μ. The parameters can be tuned to explore a wide range of physical situations. In particular, the model contains the frequently used μ→∞ limit as a special case. The MF theory is compared with the numerical simulations of a randomly driven monolayer of spheres for a wide range of parameter values. If the system is far away from the clustering instability (r_n≈1), we obtain a good agreement between mean field and simulations for μ = 0.5 and r_t^m = 0.4, but for much smaller values of r_n the agreement is less good. We discuss the reasons of this discrepancy and possible refinements of our computational scheme.

Original language	English
Pages (from-to)	142-147
Number of pages	6
Journal	Physica A: Statistical Mechanics and its Applications
Volume	280
Issue number	1
DOIs	https://doi.org/10.1016/S0378-4371(99)00630-5
Publication status	Published - 15 May 2000
Externally published	Yes
Event	International Conference on Statistical Mechanics and Strongly Correlated Systems 1999 - Rome, Italy Duration: 27 Sep 1999 → 29 Sep 1999

Access to Document

10.1016/S0378-4371(99)00630-5

Cite this

@article{9a5e04ed1463412c9bb7a2a229b81e38,

title = "Mean field theory for a driven granular gas of frictional particles",

abstract = "We propose a mean field (MF) theory for a homogeneously driven granular gas of inelastic particles with Coulomb friction. The model contains three parameters, a normal restitution coefficient rn, a maximum tangential restitution coefficient rtm and a Coulomb friction coefficient μ. The parameters can be tuned to explore a wide range of physical situations. In particular, the model contains the frequently used μ→∞ limit as a special case. The MF theory is compared with the numerical simulations of a randomly driven monolayer of spheres for a wide range of parameter values. If the system is far away from the clustering instability (rn≈1), we obtain a good agreement between mean field and simulations for μ = 0.5 and rtm = 0.4, but for much smaller values of rn the agreement is less good. We discuss the reasons of this discrepancy and possible refinements of our computational scheme.",

author = "Raffaele Cafiero and Stefan Luding",

year = "2000",

month = may,

day = "15",

doi = "10.1016/S0378-4371(99)00630-5",

language = "English",

volume = "280",

pages = "142--147",

journal = "Physica A",

issn = "0378-4371",

publisher = "Elsevier",

number = "1",

note = "International Conference on Statistical Mechanics and Strongly Correlated Systems 1999 ; Conference date: 27-09-1999 Through 29-09-1999",

}

TY - JOUR

T1 - Mean field theory for a driven granular gas of frictional particles

AU - Cafiero, Raffaele

AU - Luding, Stefan

PY - 2000/5/15

Y1 - 2000/5/15

N2 - We propose a mean field (MF) theory for a homogeneously driven granular gas of inelastic particles with Coulomb friction. The model contains three parameters, a normal restitution coefficient rn, a maximum tangential restitution coefficient rtm and a Coulomb friction coefficient μ. The parameters can be tuned to explore a wide range of physical situations. In particular, the model contains the frequently used μ→∞ limit as a special case. The MF theory is compared with the numerical simulations of a randomly driven monolayer of spheres for a wide range of parameter values. If the system is far away from the clustering instability (rn≈1), we obtain a good agreement between mean field and simulations for μ = 0.5 and rtm = 0.4, but for much smaller values of rn the agreement is less good. We discuss the reasons of this discrepancy and possible refinements of our computational scheme.

AB - We propose a mean field (MF) theory for a homogeneously driven granular gas of inelastic particles with Coulomb friction. The model contains three parameters, a normal restitution coefficient rn, a maximum tangential restitution coefficient rtm and a Coulomb friction coefficient μ. The parameters can be tuned to explore a wide range of physical situations. In particular, the model contains the frequently used μ→∞ limit as a special case. The MF theory is compared with the numerical simulations of a randomly driven monolayer of spheres for a wide range of parameter values. If the system is far away from the clustering instability (rn≈1), we obtain a good agreement between mean field and simulations for μ = 0.5 and rtm = 0.4, but for much smaller values of rn the agreement is less good. We discuss the reasons of this discrepancy and possible refinements of our computational scheme.

UR - http://www.scopus.com/inward/record.url?scp=0033742016&partnerID=8YFLogxK

U2 - 10.1016/S0378-4371(99)00630-5

DO - 10.1016/S0378-4371(99)00630-5

M3 - Conference article

AN - SCOPUS:0033742016

VL - 280

SP - 142

EP - 147

JO - Physica A

JF - Physica A

SN - 0378-4371

IS - 1

T2 - International Conference on Statistical Mechanics and Strongly Correlated Systems 1999

Y2 - 27 September 1999 through 29 September 1999

ER -

Mean field theory for a driven granular gas of frictional particles

Abstract

Access to Document

Other files and links

Fingerprint

Cite this