Fragmentation with a steady source

被引：25

作者：

Ben-Naim, E ^{[1
]}

Krapivsky, PL

机构：

[1] Univ Calif Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA

[2] Univ Calif Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA

[3] Boston Univ, Ctr Polymer Studies, Boston, MA 02215 USA

[4] Boston Univ, Dept Phys, Boston, MA 02215 USA

[5] Univ Toulouse 3, Phys Quant Lab, CNRS, IRSAMC, F-31062 Toulouse, France

来源：

PHYSICS LETTERS A | 2000年 / 275卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/S0375-9601(00)00570-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate fragmentation processes with a steady input of fragments. We find that the size distribution approaches a stationary form which exhibits a power law divergence in the small size limit, P-x(x) similar to x(-3). This algebraic behavior is robust as it is independent of the details of the input as well as the spatial dimension. The full time dependent behavior is obtained analytically for arbitrary inputs, and is found to exhibit a universal scaling behavior. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：48 / 53

页数：6

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