Topological localization in out-of-equilibrium dissipative systems.

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 interpret

SUBMITTER: Dasbiswas K 

PROVIDER: S-EPMC6166820 | biostudies-literature | 2018 Sep

REPOSITORIES: biostudies-literature