First passage time distribution in random walks with absorbing boundaries

被引：10

作者：

Nagar, A ^{[1
]}

Pradhan, P ^{[1
]}

机构：

[1] Tata Inst Fundamental Res, Dept Theoret Phys, Bombay 400005, Maharashtra, India

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2003年 / 320卷

关键词：

random walk; first passage time; absorbing boundary;

D O I：

10.1016/S0378-4371(02)01651-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We calculate the first passage time distribution in simple, unbiased random walks in presence of absorbing boundaries of various shapes. We obtain explicit solutions for the following geometries of the boundaries-a box in one dimension, circular, square and triangular boundaries in two dimensions and cubical box and spherical shell in three dimensions. The distribution in all cases shows scaling and the scaling function can be expressed in terms of the Jacobi Theta functions. (C) 2002 Published by Elsevier Science B.V.

引用

页码：141 / 148

页数：8

共 50 条

[1] First passage time distribution in random walks with absorbing boundaries
Nagar, Apoorva
Pradhan, Punyabrata
[J]. Phys A Stat Mech Appl, (141-148):
[2] First passage time distribution and the number of returns for ultrametric random walks
Avetisov, V. A.
Bikulov, A. Kh
Zubarev, A. P.
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (08)
[3] First Passage Time for Random Walks in Heterogeneous Networks
Hwang, S.
Lee, D. -S.
Kahng, B.
[J]. PHYSICAL REVIEW LETTERS, 2012, 109 (08)
[4] OCCUPANCY TIME FOR CORRELATED RANDOM-WALKS WITH PARTIALLY ABSORBING BOUNDARIES
UNNIKRISHNAN, K
PRASAD, MA
[J]. ACTA PHYSICA AUSTRIACA, 1985, 56 (04): : 253 - 257
[5] First passage time problem for biased continuous-time random walks
Rangarajan, G
Ding, MZ
[J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2000, 8 (02) : 139 - 145
[6] Continuous time random walks revisited: first passage time and spatial distributions
Margolin, G
Berkowitz, B
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 334 (1-2) : 46 - 66
[7] Mean first-passage time for random walks on undirected networks
Zhang, Zhongzhi
Julaiti, Alafate
Hou, Baoyu
Zhang, Hongjuan
Chen, Guanrong
[J]. EUROPEAN PHYSICAL JOURNAL B, 2011, 84 (04): : 691 - 697
[8] MEAN FIRST PASSAGE TIME OF RANDOM WALKS ON THE GENERALIZED PSEUDOFRACTAL WEB
Li, Long
Sun, Weigang
Chen, Jing
Wang, Guixiang
[J]. MODERN PHYSICS LETTERS B, 2013, 27 (10):
[9] Mean first-passage time for random walks on undirected networks
Zhongzhi Zhang
Alafate Julaiti
Baoyu Hou
Hongjuan Zhang
Guanrong Chen
[J]. The European Physical Journal B, 2011, 84 : 691 - 697
[10] Exact enumeration approach to first-passage time distribution of non-Markov random walks
Baghram, Shant
Nikakhtar, Farnik
Tabar, M. Reza Rahimi
Rahvar, S.
Sheth, Ravi K.
Lehnertz, Klaus
Sahimi, Muhammad
[J]. PHYSICAL REVIEW E, 2019, 99 (06)

← 1 2 3 4 5 →