The average trapping time on a half Sierpinski Gasket

Bo Wu and Zhizhuo Zhang

Chaos, Solitons & Fractals, 2020, vol. 140, issue C

Abstract: Random walks and diffusion on fractal structures often occur in various physical situations. In this paper, we focus on a particular fractal, a half Sierpinski Gasket (HSG), which is the left half of Sierpinski Gasket (SG) based on the vertical cutting of symmetry axis. We study the average trapping time (ATT) on HSG. ATT is the mean of the first-passage time of a random walker starting from any site on the network to a trap(a perfect absorber). It characteristics the diffusion efficiency of different networks. According to the structural properties of HSG, we derive the analytic expression of the ATT (〈T^〉t) on the tth generation HSG(t), which is 〈T^〉t=3t·5t+1+3·5t+1−16·3t−2t3t+1+2t+1. The result indicates that the diffusion efficiency of HSG is not affected much compared with SG at large scale.

Keywords: Average trapping time; A half Sierpinski Gasket; Unbiased random walk (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:140:y:2020:i:c:s0960077920306573

DOI: 10.1016/j.chaos.2020.110261

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