Velocity fluctuations in a homogeneous 2D granular gas in steady state

被引:224
作者
Rouyer, F [1 ]
Menon, N [1 ]
机构
[1] Univ Massachusetts, Dept Phys, Amherst, MA 01003 USA
关键词
D O I
10.1103/PhysRevLett.85.3676
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We have measured the spectrum of velocity fluctuations in a granular system confined to a vertical plane and driven into a homogeneous, steady state by strong vertical vibration. The distribution of horizontal velocities is not Maxwell-Boltzmann and is given by P(v) = Cexp[-beta>(*) over bar *(/v//sigma)alpha] where alpha = 1.55 +/- 0.1 at all frequencies and amplitudes investigated, and also for varying boundary conditions. The deviation from Maxwell-Boltzmann statistics occurs in the absence of spatial clustering and does not result from an inhomogeneous average over regions of varying local density. Surprisingly, P(v) has the same shape over a wide range of densities.
引用
收藏
页码:3676 / 3679
页数:4
相关论文
共 19 条
[1]   SHEARING AND DILATATION OF DRY SAND AND SINGING MECHANISM [J].
BAGNOLD, RA .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1966, 295 (1442) :219-&
[2]   High energy tail in the velocity distribution of a granular gas [J].
Brey, JJ ;
Cubero, D ;
Ruiz-Montero, MJ .
PHYSICAL REVIEW E, 1999, 59 (01) :1256-1258
[3]   FLUIDIZATION OF A BIDIMENSIONAL POWDER [J].
CLEMENT, E ;
RAJCHENBACH, J .
EUROPHYSICS LETTERS, 1991, 16 (02) :133-138
[4]   The granular phase diagram [J].
Esipov, SE ;
Poschel, T .
JOURNAL OF STATISTICAL PHYSICS, 1997, 86 (5-6) :1385-1395
[5]   Experimental determination of a state equation for dissipative granular gases [J].
Falcon, E ;
Fauve, S ;
Laroche, C .
JOURNAL DE CHIMIE PHYSIQUE ET DE PHYSICO-CHIMIE BIOLOGIQUE, 1999, 96 (06) :1111-1116
[6]   Towards granular hydrodynamics in two dimensions [J].
Grossman, EL ;
Zhou, T ;
BenNaim, E .
PHYSICAL REVIEW E, 1997, 55 (04) :4200-4206
[7]   Granular solids, liquids, and gases [J].
Jaeger, HM ;
Nagel, SR ;
Behringer, RP .
REVIEWS OF MODERN PHYSICS, 1996, 68 (04) :1259-1273
[8]   A THEORY FOR THE RAPID FLOW OF IDENTICAL, SMOOTH, NEARLY ELASTIC, SPHERICAL-PARTICLES [J].
JENKINS, JT ;
SAVAGE, SB .
JOURNAL OF FLUID MECHANICS, 1983, 130 (MAY) :187-202
[9]   Non-Gaussian velocity distributions in excited granular matter in the absence of clustering [J].
Kudrolli, A ;
Henry, J .
PHYSICAL REVIEW E, 2000, 62 (02) :R1489-R1492
[10]   Velocity distribution for a dilute vibrated granular material [J].
Kumaran, V .
PHYSICAL REVIEW E, 1999, 59 (04) :4188-4202