From diffusion in compartmentalized media to non-Gaussian random walks

Abstract In this work we establish a link between two different phenomena that were studied in a large and growing number of biological, composite and soft media: the diffusion in compartmentalized environment and the non-Gaussian diffusion that exhibits linear or power-law growth of the mean square...

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Autores principales:	Jakub Ślęzak, Stanislav Burov
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/a39640d340fe46e9b86639fda9c1837a
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spelling	oai:doaj.org-article:a39640d340fe46e9b86639fda9c1837a2021-12-02T11:37:19ZFrom diffusion in compartmentalized media to non-Gaussian random walks10.1038/s41598-021-83364-02045-2322https://doaj.org/article/a39640d340fe46e9b86639fda9c1837a2021-03-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-83364-0https://doaj.org/toc/2045-2322Abstract In this work we establish a link between two different phenomena that were studied in a large and growing number of biological, composite and soft media: the diffusion in compartmentalized environment and the non-Gaussian diffusion that exhibits linear or power-law growth of the mean square displacement joined by the exponential shape of the positional probability density. We explore a microscopic model that gives rise to transient confinement, similar to the one observed for hop-diffusion on top of a cellular membrane. The compartmentalization of the media is achieved by introducing randomly placed, identical barriers. Using this model of a heterogeneous medium we derive a general class of random walks with simple jump rules that are dictated by the geometry of the compartments. Exponential decay of positional probability density is observed and we also quantify the significant decrease of the long time diffusion constant. Our results suggest that the observed exponential decay is a general feature of the transient regime in compartmentalized media.Jakub ŚlęzakStanislav BurovNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-18 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Jakub Ślęzak Stanislav Burov From diffusion in compartmentalized media to non-Gaussian random walks
description	Abstract In this work we establish a link between two different phenomena that were studied in a large and growing number of biological, composite and soft media: the diffusion in compartmentalized environment and the non-Gaussian diffusion that exhibits linear or power-law growth of the mean square displacement joined by the exponential shape of the positional probability density. We explore a microscopic model that gives rise to transient confinement, similar to the one observed for hop-diffusion on top of a cellular membrane. The compartmentalization of the media is achieved by introducing randomly placed, identical barriers. Using this model of a heterogeneous medium we derive a general class of random walks with simple jump rules that are dictated by the geometry of the compartments. Exponential decay of positional probability density is observed and we also quantify the significant decrease of the long time diffusion constant. Our results suggest that the observed exponential decay is a general feature of the transient regime in compartmentalized media.
format	article
author	Jakub Ślęzak Stanislav Burov
author_facet	Jakub Ślęzak Stanislav Burov
author_sort	Jakub Ślęzak
title	From diffusion in compartmentalized media to non-Gaussian random walks
title_short	From diffusion in compartmentalized media to non-Gaussian random walks
title_full	From diffusion in compartmentalized media to non-Gaussian random walks
title_fullStr	From diffusion in compartmentalized media to non-Gaussian random walks
title_full_unstemmed	From diffusion in compartmentalized media to non-Gaussian random walks
title_sort	from diffusion in compartmentalized media to non-gaussian random walks
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/a39640d340fe46e9b86639fda9c1837a
work_keys_str_mv	AT jakubslezak fromdiffusionincompartmentalizedmediatonongaussianrandomwalks AT stanislavburov fromdiffusionincompartmentalizedmediatonongaussianrandomwalks
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From diffusion in compartmentalized media to non-Gaussian random walks

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