Exact solution of the one-dimensional ballistic aggregation

被引：41

作者：

Frachebourg, L ^{[1
]}

机构：

[1] Ecole Polytech Fed Lausanne, Inst Phys Theor, CH-1015 Lausanne, Switzerland

来源：

PHYSICAL REVIEW LETTERS | 1999年 / 82卷 / 07期

关键词：

D O I：

10.1103/PhysRevLett.82.1502

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An exact expression for the mass distribution rho(M; t) of the ballistic aggregation model in one dimension is derived in the long time regime. It is shown that it obeys scaling rho(M; t) = t(-4/3)F(M/t(2/3)) with a scaling function F(z) similar to z(-1/2) for z much less than 1 and F(z) similar to exp(-z(3)/12) for z much greater than 1. Applications of these results to Burgers turbulence are discussed. [S0031-9007(99)08466-5].

引用

页码：1502 / 1505

页数：4

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