Bulk-edge correspondence of classical diffusion phenomena

Abstract We elucidate that diffusive systems, which are widely found in nature, can be a new platform of the bulk-edge correspondence, a representative topological phenomenon. Using a discretized diffusion equation, we demonstrate the emergence of robust edge states protected by the winding number f...

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Autores principales:	Tsuneya Yoshida, Yasuhiro Hatsugai
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/ca0d89b92b974e6e83693a64d47e5aa8
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spelling	oai:doaj.org-article:ca0d89b92b974e6e83693a64d47e5aa82021-12-02T15:22:57ZBulk-edge correspondence of classical diffusion phenomena10.1038/s41598-020-80180-w2045-2322https://doaj.org/article/ca0d89b92b974e6e83693a64d47e5aa82021-01-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-80180-whttps://doaj.org/toc/2045-2322Abstract We elucidate that diffusive systems, which are widely found in nature, can be a new platform of the bulk-edge correspondence, a representative topological phenomenon. Using a discretized diffusion equation, we demonstrate the emergence of robust edge states protected by the winding number for one- and two-dimensional systems. These topological edge states can be experimentally accessible by measuring diffusive dynamics at edges. Furthermore, we discover a novel diffusion phenomenon by numerically simulating the distribution of temperatures for a honeycomb lattice system; the temperature field with wavenumber $$\pi $$ π cannot diffuse to the bulk, which is attributed to the complete localization of the edge state.Tsuneya YoshidaYasuhiro HatsugaiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-7 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Tsuneya Yoshida Yasuhiro Hatsugai Bulk-edge correspondence of classical diffusion phenomena
description	Abstract We elucidate that diffusive systems, which are widely found in nature, can be a new platform of the bulk-edge correspondence, a representative topological phenomenon. Using a discretized diffusion equation, we demonstrate the emergence of robust edge states protected by the winding number for one- and two-dimensional systems. These topological edge states can be experimentally accessible by measuring diffusive dynamics at edges. Furthermore, we discover a novel diffusion phenomenon by numerically simulating the distribution of temperatures for a honeycomb lattice system; the temperature field with wavenumber $$\pi $$ π cannot diffuse to the bulk, which is attributed to the complete localization of the edge state.
format	article
author	Tsuneya Yoshida Yasuhiro Hatsugai
author_facet	Tsuneya Yoshida Yasuhiro Hatsugai
author_sort	Tsuneya Yoshida
title	Bulk-edge correspondence of classical diffusion phenomena
title_short	Bulk-edge correspondence of classical diffusion phenomena
title_full	Bulk-edge correspondence of classical diffusion phenomena
title_fullStr	Bulk-edge correspondence of classical diffusion phenomena
title_full_unstemmed	Bulk-edge correspondence of classical diffusion phenomena
title_sort	bulk-edge correspondence of classical diffusion phenomena
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/ca0d89b92b974e6e83693a64d47e5aa8
work_keys_str_mv	AT tsuneyayoshida bulkedgecorrespondenceofclassicaldiffusionphenomena AT yasuhirohatsugai bulkedgecorrespondenceofclassicaldiffusionphenomena
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Bulk-edge correspondence of classical diffusion phenomena

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