DECAY KINETICS OF BALLISTIC ANNIHILATION

被引:60
作者
BENNAIM, E
REDNER, S
LEYVRAZ, F
机构
[1] BOSTON UNIV,DEPT PHYS,BOSTON,MA 02215
[2] NATL AUTONOMOUS UNIV MEXICO,INST FIS,CUERNAVACA LAB,MEXICO CITY 04510,DF,MEXICO
关键词
D O I
10.1103/PhysRevLett.70.1890
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the kinetics of ballistic annihilation, A + A --> 0, with continuous initial particle velocity distributions. The concentration and the rms velocity are found to decay as c is similar to t(-alpha) and v(rms) is similar to t(-beta), respectively, with the relation alpha + beta = 1 holding in any spatial dimension. A ''mean-field'' Boltzmann equation for the evolution of the velocity distribution predicts that alpha and beta depend strongly on the initial condition, a behavior which is confirmed numerically in one and two dimensions.
引用
收藏
页码:1890 / 1893
页数:4
相关论文
共 13 条
[1]   SPATIAL STRUCTURE IN DIFFUSION-LIMITED 2-PARTICLE REACTIONS [J].
BRAMSON, M ;
LEBOWITZ, JL .
JOURNAL OF STATISTICAL PHYSICS, 1991, 65 (5-6) :941-951
[2]   STATISTICS OF BALLISTIC AGGLOMERATION [J].
CARNEVALE, GF ;
POMEAU, Y ;
YOUNG, WR .
PHYSICAL REVIEW LETTERS, 1990, 64 (24) :2913-2916
[3]   ANNIHILATION KINETICS IN THE ONE-DIMENSIONAL IDEAL-GAS [J].
ELSKENS, Y ;
FRISCH, HL .
PHYSICAL REVIEW A, 1985, 31 (06) :3812-3816
[4]  
JIANG YM, IN PRESS
[5]   FLUCTUATION-DOMINATED KINETICS IN DIFFUSION-CONTROLLED REACTIONS [J].
KANG, K ;
REDNER, S .
PHYSICAL REVIEW A, 1985, 32 (01) :435-447
[6]  
Lushnikov A.A., 1986, SOV PHYS JETP, V64, P811
[7]   THE EMERGENCE OF ISOLATED COHERENT VORTICES IN TURBULENT-FLOW [J].
MCWILLIAMS, JC .
JOURNAL OF FLUID MECHANICS, 1984, 146 (SEP) :21-43
[8]   COAGULATION REACTION IN A ONE-DIMENSIONAL GAS [J].
SHEU, WS ;
VANDENBROECK, C ;
LINDENBERG, K .
PHYSICAL REVIEW A, 1991, 43 (08) :4401-4405
[9]   EXACT-SOLUTIONS FOR A DIFFUSION-REACTION PROCESS IN ONE DIMENSION [J].
SPOUGE, JL .
PHYSICAL REVIEW LETTERS, 1988, 60 (10) :871-874
[10]   PARTICLE ANTIPARTICLE ANNIHILATION IN DIFFUSIVE MOTION [J].
TOUSSAINT, D ;
WILCZEK, F .
JOURNAL OF CHEMICAL PHYSICS, 1983, 78 (05) :2642-2647