THE LANGEVIN DYNAMICS OF VIBRATED POWDERS

被引:46
作者
MEHTA, A
NEEDS, RJ
DATTAGUPTA, S
机构
[1] UNIV CAMBRIDGE,CAVENDISH LAB,THEORY CONDENSED MATTER GRP,CAMBRIDGE CB3 0HE,ENGLAND
[2] JAWAHARLAL NEHRU UNIV,SCH PHYS SCI,NEW DELHI 110067,INDIA
关键词
LANGEVIN EQUATIONS; POWDERS; SANDPILES; COOPERATIVE DYNAMICS; RELAXATIONAL PHENOMENA;
D O I
10.1007/BF01048889
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a microscopic theory of the relaxational behaviour of a granular pile submitted to vibration, elucidating the different roles of collective and independent-particle relaxation. We write down and solve Langevin equations for these processes, which have an explicit coupling. The analysis of the solution in terms of independent-particle and collective relaxations provides a consistent framework for the interpretation of experimental results.
引用
收藏
页码:1131 / 1141
页数:11
相关论文
共 24 条
[1]  
Abramovitz M., 1964, HDB MATH FUNCTIONS
[2]   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-&
[3]   VIBRATED POWDERS - STRUCTURE, CORRELATIONS, AND DYNAMICS [J].
BARKER, GC ;
MEHTA, A .
PHYSICAL REVIEW A, 1992, 45 (06) :3435-3446
[4]   PATTERN-FORMATION IN FLOWING SAND [J].
BAXTER, GW ;
BEHRINGER, RP ;
FAGERT, T ;
JOHNSON, GA .
PHYSICAL REVIEW LETTERS, 1989, 62 (24) :2825-2828
[5]   ORIENTATIONAL ORDERING AS A POSSIBLE MECHANISM FOR VISCOSITY-ENHANCEMENT OF SUPERCOOLED LIQUIDS [J].
DATTAGUPTA, S .
JOURNAL OF NON-CRYSTALLINE SOLIDS, 1991, 131 :200-203
[6]  
DATTAGUPTA S, 1987, RELAXATION PHENOMENA
[7]  
DEGENNES PG, PREPRINT
[8]   A MONTE-CARLO STUDY OF GRANULAR RELAXATION [J].
DUKE, TAJ ;
BARKER, GC ;
MEHTA, A .
EUROPHYSICS LETTERS, 1990, 13 (01) :19-24
[9]   EXPERIMENTAL-STUDY OF CRITICAL-MASS FLUCTUATIONS IN AN EVOLVING SANDPILE [J].
HELD, GA ;
SOLINA, DH ;
KEANE, DT ;
HAAG, WJ ;
HORN, PM ;
GRINSTEIN, G .
PHYSICAL REVIEW LETTERS, 1990, 65 (09) :1120-1123
[10]   RELAXATION AT THE ANGLE OF REPOSE [J].
JAEGER, HM ;
LIU, CH ;
NAGEL, SR .
PHYSICAL REVIEW LETTERS, 1989, 62 (01) :40-43