SOME 2-DIMENSIONAL AND 3-DIMENSIONAL PERSISTENT RANDOM-WALKS

被引：67

作者：

MASOLIVER, J ^{[1
]}

PORRA, JM ^{[1
]}

WEISS, GH ^{[1
]}

机构：

[1] NIH,DIV COMP RES & TECHNOL,BETHESDA,MD 20892

来源：

PHYSICA A | 1993年 / 193卷 / 3-4期

关键词：

D O I：

10.1016/0378-4371(93)90488-P

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We formulate non-Markovian versions of the persistent random walk in two and three dimensions and in continuous time. These models can be regarded as being generalizations of the original Pearson random walk and of the freely jointed chain which has been of some importance in polymer physics. Solutions for the probability density of the displacement of the random walker can be furnished for a restricted (essentially Markovian) set of these models. It is shown that in two dimensions the solution to one of these models is equivalent to the solution to an inhomogeneous telegrapher's equation. It does not appear to be possible, starting from a similar model in three dimensions, to find any form of the telegrapher's equation that follows from our solution of the equations in the Fourier-Laplace transform domains.

引用

页码：469 / 482

页数：14

共 9 条

[1] RANDOM-WALK WITH PERSISTENCE [J].