ArticleProceedings of the National Academy of Sciences of the United States of America2018
Topological localization in out-of-equilibrium dissipative systems.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2018. 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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8 citing papers in PubMed.
- Reviving the Lieb-Schultz-Mattis theorem in open quantum systems.National science review · 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
- Odd viscosity-induced Hall-like transport of an active chiral fluid.Proceedings of the National Academy of Sciences of the United States of America · 2022Article
- A topological fluctuation theorem.Nature communications · 2022Article
- Exceptional non-Hermitian topological edge mode and its application to active matter.Nature communications · 2020Article
- Oscillating collective motion of active rotors in confinement.Proceedings of the National Academy of Sciences of the United States of America · 2020Article
- Energy dissipation and fluctuations in a driven liquid.Proceedings of the National Academy of Sciences of the United States of America · 2018Article
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Abstract
In this paper, we report that notions of topological protection can be applied to stationary configurations that are driven far from equilibrium by active, dissipative processes. We consider two physically disparate systems: stochastic networks governed by microscopic single-particle dynamics, and collections of driven interacting particles described by coarse-grained hydrodynamic theory. We derive our results by mapping to well-known electronic models and exploiting the resulting correspondence between a bulk topological number and the spectrum of dissipative modes localized at the boundary. For the Markov networks, we report a general procedure to uncover the topological properties in terms of the transition rates. For the active fluid on a substrate, we introduce a topological interpretation of fluid dissipative modes at the edge. In both cases, the presence of dissipative couplings to the environment that break time-reversal symmetry are crucial to ensuring topological protection. These examples constitute proof of principle that notions of topological protection do indeed extend to dissipative processes operating out of equilibrium. Such topologically robust boundary modes have implications for both biological and synthetic systems.
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