Diffusive-ballistic transition in random walks with long-range self-repulsion

被引：2
|
作者：
Procacci, Aldo [1 ]
Sanchis, Remy [1 ]
Scoppola, Benedetto [2 ]
机构：
[1] Univ Fed Minas Gerais, Dept Math, ICEx, BR-30161970 Belo Horizonte, MG, Brazil
[2] Univ Roma Tor Vergata, Dipartimento Matemat, I-00100 Rome, Italy
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2008年 / 83卷 / 02期
关键词：
self-repelling random walks; one-dimensional Ising model; long-range interactions; diffusive-ballistic phase transition;
D O I：
10.1007/s11005-007-0217-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We prove that a class of random walks on Z(2) with long-range self-repulsive interactions have a diffusive-ballistic phase transition.
引用
收藏
页码：181 / 187
页数：7
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