ArticleNature communications2017
Topologically protected modes in non-equilibrium stochastic systems.
Article in Nature communications, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
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Who cites it
12 citing papers in PubMed.
- A complex network perspective on brain disease.Biological reviews of the Cambridge Philosophical Society · 2026Review
- Temporal Contrastive Learning through implicit non-equilibrium memory.Nature communications · 2025Article
- Chiral edge waves in a dance-based human topological insulator.Science advances · 2024Article
- A topological mechanism for robust and efficient global oscillations in biological networks.Nature communications · 2024Article
- Spiking at the edge: Excitability at interfaces in reaction-diffusion systems.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- A topological fluctuation theorem.Nature communications · 2022Article
- Active topolectrical circuits.Proceedings of the National Academy of Sciences of the United States of America · 2021Article
- Guided accumulation of active particles by topological design of a second-order skin effect.Nature communications · 2021Article
- A study of quantum Berezinskii-Kosterlitz-Thouless transition for parity-time symmetric quantum criticality.Scientific reports · 2021Article
- Liquid-crystal-based topological photonics.Proceedings of the National Academy of Sciences of the United States of America · 2021Article
- Exceptional non-Hermitian topological edge mode and its application to active matter.Nature communications · 2020Article
- Topological localization in out-of-equilibrium dissipative systems.Proceedings of the National Academy of Sciences of the United States of America · 2018Article
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Authors and funding
2 authors.
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No grant is acknowledged in the PubMed record.
Abstract
Non-equilibrium driving of biophysical processes is believed to enable their robust functioning despite the presence of thermal fluctuations and other sources of disorder. Such robust functions include sensory adaptation, enhanced enzymatic specificity and maintenance of coherent oscillations. Elucidating the relation between energy consumption and organization remains an important and open question in non-equilibrium statistical mechanics. Here we report that steady states of systems with non-equilibrium fluxes can support topologically protected boundary modes that resemble similar modes in electronic and mechanical systems. Akin to their electronic and mechanical counterparts, topological-protected boundary steady states in non-equilibrium systems are robust and are largely insensitive to local perturbations. We argue that our work provides a framework for how biophysical systems can use non-equilibrium driving to achieve robust function.
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