On the random search for a randomly moving particle

被引：8
|
作者：
El-Hadidy, Mohamed Abd Allah [1 ,2 ]
机构：
[1] Tanta Univ, Fac Sci, Math Dept, Tanta, Egypt
[2] Taibah Univ, Fac Sci, Math & Stat Dept, Yanbu, Saudi Arabia
来源：
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2022年 / 16卷 / 01期
关键词：
Statistical physics; bounded stochastic process; random tracking method; meeting probability; wiener process; BROWNIAN TARGET; LEVY; PATTERNS;
D O I：
10.1080/16583655.2022.2153435
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper discusses some methods based on the random search problem over the bound domain. The particle moves randomly with a bounded two-dimensional stochastic process in a bounded area. The physical phenomenon determines the boundaries of this area. We have a smart nanosensor tracks randomly for this particle. The necessary condition that maximizes the probability of the first meeting time between the nanosensor and the particle is derived.
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页码：1165 / 1170
页数：6
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