globalchange  > 气候变化与战略
DOI: 10.1073/pnas.1721096115
论文题名:
Topological localization in out-of-equilibrium dissipative systems
作者: Dasbiswas K.; Mandadapu K.K.; Vaikuntanathan S.
刊名: Proceedings of the National Academy of Sciences of the United States of America
ISSN: 0027-8424
出版年: 2018
卷: 115, 期:39
起始页码: E9031
结束页码: E9040
语种: 英语
英文关键词: Chiral active matter ; Dissipation ; Nonequilibrium fluctuations ; Stochastic networks ; Topological protection
Scopus关键词: Article ; biophysics ; controlled study ; energy dissipation ; energy metabolism ; hydrodynamics ; Markov chain ; molecular dynamics ; molecular interaction ; priority journal ; stochastic model ; hydrodynamics ; theoretical model ; Hydrodynamics ; Models, Theoretical
英文摘要: 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. © 2018 National Academy of Sciences. All rights reserved.
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资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/163657
Appears in Collections:气候变化与战略

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作者单位: Dasbiswas, K., James Franck Institute, University of Chicago, Chicago, IL 60637, United States, Department of Physics, University of California, Merced, CA 95343, United States; Mandadapu, K.K., Department of Chemical and Biomolecular Engineering, University of California, Berkeley, CA 94720, United States, Chemical Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, United States; Vaikuntanathan, S., James Franck Institute, University of Chicago, Chicago, IL 60637, United States, Department of Chemistry, University of Chicago, Chicago, IL 60637, United States

Recommended Citation:
Dasbiswas K.,Mandadapu K.K.,Vaikuntanathan S.. Topological localization in out-of-equilibrium dissipative systems[J]. Proceedings of the National Academy of Sciences of the United States of America,2018-01-01,115(39)
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