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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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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Liu, Chunyan
Zhang, Xuelan
Wang, Erhui
Ma, Lianxi
Zheng, Liancun
description 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 
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Our model can be used to study a class of specific anomalous diffusion, such as the search of DNA-binding proteins for their binding sites. •Anomalous diffusion on a spiral inward branched with the Cattaneo model is studied.•The new equation in the spiral coordinate system is derived and solved numerically.•The impact of lag time on MSD and particle distribution is discussed over time.•The lag time has an adverse influence on particle distribution and MSD.</description><identifier>ISSN: 0167-7322</identifier><identifier>EISSN: 1873-3166</identifier><identifier>DOI: 10.1016/j.molliq.2020.114256</identifier><language>eng</language><publisher>Elsevier B.V</publisher><subject>Anomalous diffusion ; Archimedean spiral structure ; Cattaneo flux model ; Mean square displacement (MSD)</subject><ispartof>Journal of molecular liquids, 2020-12, Vol.319, p.114256, Article 114256</ispartof><rights>2020 Elsevier B.V.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c255t-be8bc7cafa00c5e9119a2efabe6cfe7eda6e838aaff36d841a12120bd34f30083</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Suleiman, Kheder</creatorcontrib><creatorcontrib>Liu, Chunyan</creatorcontrib><creatorcontrib>Zhang, Xuelan</creatorcontrib><creatorcontrib>Wang, Erhui</creatorcontrib><creatorcontrib>Ma, Lianxi</creatorcontrib><creatorcontrib>Zheng, Liancun</creatorcontrib><title>Anomalous diffusion on Archimedean spiral structure with Cattaneo flux model</title><title>Journal of molecular liquids</title><description>In this paper, we study the properties of anomalous diffusion on a specific Archimedean spiral backbone with radial fingers. 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subjects Anomalous diffusion
Archimedean spiral structure
Cattaneo flux model
Mean square displacement (MSD)
title Anomalous diffusion on Archimedean spiral structure with Cattaneo flux model
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