NEW ANALYTIC APPROACH TO MULTIVELOCITY ANNIHILATION IN THE KINETIC-THEORY OF REACTIONS

被引：18

作者：

DROZ, M

REY, PA

FRACHEBOURG, L

PIASECKI, J

机构：

[1] BOSTON UNIV, DEPT PHYS, BOSTON, MA 02215 USA

[2] UNIV WARSAW, INST THEORET PHYS, PL-00681 WARSAW, POLAND

来源：

PHYSICAL REVIEW LETTERS | 1995年 / 75卷 / 01期

关键词：

D O I：

10.1103/PhysRevLett.75.160

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new, exact, analytic approach to multivelocity, one-species, ballistic annihilation in one dimension is proposed. For an arbitrary one-particle initial velocity distribution, the problem can be solved rigorously in terms of the two-particle conditional probability, which obeys a closed nonlinear integro-differential equation. We present a method for solving this equation for an arbitrary discrete velocity distribution. This method is applied to the three-velocity case. The outcome of numerical simulations compares well with our exact results. © 1995 The American Physical Society.

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页码：160 / 163

页数：4

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