Thermodynamic theory of weakly excited granular systems

被引:42
作者
Hayakawa, H [1 ]
Hong, DC [1 ]
机构
[1] LEHIGH UNIV,DEPT PHYS,LEWIS LAB,BETHLEHEM,PA 18015
关键词
D O I
10.1103/PhysRevLett.78.2764
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a thermodynamic theory of weakly excited two-dimensional granular systems from the viewpoint of elementary excitations of spinless Fermions. We introduce a global temperature T that is associated with the acceleration amplitude Gamma in a vibrating bed. We show that the configurational statistics of weakly excited granular materials in a vibrating bed obey the Fermi statistics.
引用
收藏
页码:2764 / 2767
页数:4
相关论文
共 42 条
[1]   PATTERN-FORMATION IN FLOWING SAND [J].
BAXTER, GW ;
BEHRINGER, RP ;
FAGERT, T ;
JOHNSON, GA .
PHYSICAL REVIEW LETTERS, 1989, 62 (24) :2825-2828
[2]  
BERHINGER RP, 1996, B AM PHYS SOC, V41, P684
[3]   STEADY-STATES OF A COLUMN OF SHAKEN INELASTIC BEADS [J].
BERNU, B ;
DELYON, F ;
MAZIGHI, R .
PHYSICAL REVIEW E, 1994, 50 (06) :4551-4559
[4]   GRANULAR CONVECTION IN A VIBRATED FLUID [J].
BOURZUTSCHKY, M ;
MILLER, J .
PHYSICAL REVIEW LETTERS, 1995, 74 (12) :2216-2219
[5]   Model kinetic equation for low-density granular flow [J].
Brey, JJ ;
Moreno, F ;
Dufty, JW .
PHYSICAL REVIEW E, 1996, 54 (01) :445-456
[6]   RANDOM-WALK APPROACH TO GRANULAR FLOWS [J].
CARAM, H ;
HONG, DC .
PHYSICAL REVIEW LETTERS, 1991, 67 (07) :828-831
[7]   FLUIDIZATION OF A BIDIMENSIONAL POWDER [J].
CLEMENT, E ;
RAJCHENBACH, J .
EUROPHYSICS LETTERS, 1991, 16 (02) :133-138
[8]   EXPERIMENTAL-STUDY OF HEAPING IN A 2-DIMENSIONAL SANDPILE [J].
CLEMENT, E ;
DURAN, J ;
RAJCHENBACH, J .
PHYSICAL REVIEW LETTERS, 1992, 69 (08) :1189-1192
[9]   BREAKDOWN OF HYDRODYNAMICS IN A ONE-DIMENSIONAL SYSTEM OF INELASTIC PARTICLES [J].
DU, YS ;
LI, H ;
KADANOFF, LP .
PHYSICAL REVIEW LETTERS, 1995, 74 (08) :1268-1271
[10]   THEORY OF POWDERS [J].
EDWARDS, SF ;
OAKESHOTT, RBS .
PHYSICA A, 1989, 157 (03) :1080-1090