Ballistic random walker

被引：7
|
作者：
MolinasMata, P
Munoz, MA
Martinez, DO
Barabasi, AL
机构：
[1] IBM CORP, THOMAS J WATSON RES CTR, YORKTOWN HTS, NY 10598 USA
[2] LOS ALAMOS NATL LAB, DIV THEORET, LOS ALAMOS, NM 87545 USA
[3] UNIV NOTRE DAME, DEPT PHYS, NOTRE DAME, IN 46556 USA
来源：
PHYSICAL REVIEW E | 1996年 / 54卷 / 01期
关键词：
D O I：
10.1103/PhysRevE.54.968
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We introduce and investigate the scaling properties of a random walker that moves ballistically on a two-dimensional square lattice. The walker is scattered (changes direction randomly) every time it reaches a previously unvisited site, and follows ballistic trajectories between two scattering events. The asymptotic properties of the density of unvisited sites and the diffusion exponent can be calculated using a mean-field theory. The obtained predictions are in good agreement with the results of extensive numerical simulations. In particular, we show that this random walk is subdiffusive.
引用
收藏
页码：968 / 971
页数：4
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