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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 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 [Formula: see text] cannot diffuse to the bulk, which is attributed to the complete localization of the edge state.

SUBMITTER: Yoshida T

PROVIDER: S-EPMC7806654 | biostudies-literature | 2021 Jan

REPOSITORIES: biostudies-literature

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Bulk-edge correspondence of classical diffusion phenomena.

Yoshida Tsuneya T Hatsugai Yasuhiro Y

Scientific reports 20210113 1

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 numericall ...[more]

PMID: 33441795

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