ArticleScientific reports2021
Bulk-edge correspondence of classical diffusion phenomena.
Article in Scientific reports, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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Who cites it
8 citing papers in PubMed.
- Robust topological temperature localization in thermal rock-paper-scissors chain.National science review · 2026Article
- Topology in Thermal, Particle, and Plasma Diffusion Metamaterials.Chemical reviews · 2025Review
- Reconfigurable, zero-energy, and wide-temperature loss-assisted thermal nonreciprocal metamaterials.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Chiral edge waves in a dance-based human topological insulator.Science advances · 2024Article
- A symmetry-protected exceptional ring in a photonic crystal with negative index media.Nanophotonics (Berlin, Germany) · 2023Article
- Non-Abelian effects in dissipative photonic topological lattices.Nature communications · 2023Article
- Non-Hermitian topology in rock-paper-scissors games.Scientific reports · 2022Article
- Shannon Entropy and Diffusion Coefficient in Parity-Time Symmetric Quantum Walks.Entropy (Basel, Switzerland) · 2021Article
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Authors and funding
2 authors.
Funding
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.
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