Exit Probability and First Passage Time of a Lazy Pearson Walker: Scaling Behaviour  

作　　者：Muktish Acharyya Muktish Acharyya(Department of Physics, Presidency University, Calcutta, India)

机构地区：[1]Department of Physics, Presidency University, Calcutta, India

出　　处：《Applied Mathematics》2016年第12期1353-1358,共6页应用数学（英文）

摘　　要：The motion of a lazy Pearson walker is studied with different probability (p) of jump in two and three dimensions. The probability of exit (  ) from a zone of radius  is studied as a function of  with different values of jump probability p. The exit probability  is found to scale as , which is obtained by method of data collapse. The first passage time (  ) i.e., the time required for first exit from a zone is studied. The probability distribution  of first passage time was studied for different values of jump probability (p). The probability distribution of first passage time was found to scale as . Where, F and G are two scaling functions and a, b, g and d are some exponents. In both the dimensions, it is found that,  , ,  and .The motion of a lazy Pearson walker is studied with different probability (p) of jump in two and three dimensions. The probability of exit (  ) from a zone of radius  is studied as a function of  with different values of jump probability p. The exit probability  is found to scale as , which is obtained by method of data collapse. The first passage time (  ) i.e., the time required for first exit from a zone is studied. The probability distribution  of first passage time was studied for different values of jump probability (p). The probability distribution of first passage time was found to scale as . Where, F and G are two scaling functions and a, b, g and d are some exponents. In both the dimensions, it is found that,  , ,  and .

关 键 词：Pearson Walker Lazy Random Walk Exit Probability First Passage Time SCALING 

分 类 号：H31[语言文字—英语]