Anomalous diffusion on Archimedean spiral structure with Cattaneo flux model

In this paper, we study the properties of anomalous diffusion on a specific Archimedean spiral backbone with radial fingers. The partial differential equation with Cattaneo flux model is derived using spiral transformation and solved numerically. The influence of relaxation time and geometrical para...

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Bibliographic Details
Published in:Journal of molecular liquids 2020-12, Vol.319, p.114256, Article 114256
Main Authors: Suleiman, Kheder, Liu, Chunyan, Zhang, Xuelan, Wang, Erhui, Ma, Lianxi, Zheng, Liancun
Format: Article
Language:English
Subjects:
Anomalous diffusion
Archimedean spiral structure
Cattaneo flux model
Mean square displacement (MSD)
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Summary:In this paper, we study the properties of anomalous diffusion on a specific Archimedean spiral backbone with radial fingers. The partial differential equation with Cattaneo flux model is derived using spiral transformation and solved numerically. The influence of relaxation time and geometrical parameter on particle distribution and MSD is discussed graphically. Our results show that there is a transition between two types of diffusions. The super-diffusion (MSD ~tα; α > 1) starts for a short time then changes to sub-diffusion (MSD ~tα; 0 
ISSN:0167-7322
1873-3166
DOI:10.1016/j.molliq.2020.114256