Capture of the lamb: Diffusing predators seeking a diffusing prey

被引：85

作者：

Redner, S ^{[1
]}

Krapivsky, PL

机构：

[1] Boston Univ, Ctr BioDynam, Boston, MA 02215 USA

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

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

来源：

AMERICAN JOURNAL OF PHYSICS | 1999年 / 67卷 / 12期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1119/1.19115

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

We study the capture of a diffusing "lamb" by diffusing "lions" in one dimension. The capture dynamics is exactly soluble by probabilistic techniques when the number of lions is very small, and is tractable by extreme statistics considerations when the number of lions is very large. However, the exact solution for the general case of three or more lions is still not known. (C) 1999 American Association of Physics Teachers.

引用

页码：1277 / 1283

页数：7

共 28 条

[1]

Abramowitz M., 1970, HDB MATH FUNCTIONS

[2]

Arnold B.C., 1998, RECORDS

[3]

Barenblatt G. I., 1996, Dimensional analysis, V14

[4] COMPUTER-SIMULATION METHODS FOR DIFFUSION-CONTROLLED REACTIONS [J].