Velocity distributions in homogeneous granular fluids: The free and the heated case

被引：211

作者：

Van Noije T.P.C. ^{[1
]}

Ernst M.H. ^{[1
]}

机构：

[1] Instituut Voor Theoretische Fysica, Universiteit Utrecht, Postbus 80006

来源：

Granular Matter | 1998年 / 1卷 / 2期

关键词：

Velocity Distribution; Heated Case; Granular Fluid;

D O I：

10.1007/s100350050009

中图分类号：

学科分类号：

摘要：

Non-Gaussian properties (cumulants, high energy tails) of the single particle velocity distribution for homogeneous granular fluids of inelastic hard spheres or disks are studied, based on the Enskog-Boltzmann equation for the unforced and heated case. The latter is in a steady state. The non-Gaussian corrections have small effects on the cooling rate, and on the stationary temperature in the heated case, at all inelasticities. The velocity distribution in the heated steady state exhibits a high energy tail ∼ exp(-Ac3/2), where c is the velocity scaled by the thermal velocity and A ∼ 1/√∈ with ∈ the inelasticity. The results are compared with molecular dynamics simulations, as well as direct Monte Carlo simulations of the Boltzmann equation.

引用

页码：57 / 64

页数：7

共 26 条

[1] Goldhirsch, I., Tan, M.-L., Zanetti, G., (1993) J. Scient. Comp., 8, p. 1
[2] Brey, J.J., Ruiz-Montero, M.J., Cubero, D., (1996) Phys. Rev. E, 54, p. 3664
[3] T.P.C. van Noije and M.H. Ernst, internal report, Institute for Theoretical Physics, Universiteit Utrecht, 1996
[4] Ichiki, K., Hayakawa, H., (1995) Phys. Rev. E, 52, p. 658
[5] (1998) Phys. Rev. E, 57, p. 1990
[6] Taguchi, Y.-H., Takayasu, H., (1995) Europhys. Lett., 30, p. 499
[7] Wilkinson, D.R., Edwards, S.F., (1982) Proc. R. Soc. Lond. A, 381, p. 33. , Eq. (3.2.20)
[8] Goldshtein, A., Shapiro, M., (1995) J. Fluid Mech., 282, p. 75
[9] Esipov, S.E., Pöschel, T., (1997) J. Stat. Phys., 86, p. 1385
[10] Bar-Lev, O., Noskowicz, S.H., Goldhirsch, I., (1998), preprint

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