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
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