Linear Response Theory and Green-Kubo Relations for Active Matter

We address the question of how interacting active systems in a nonequilibrium steady state respond to an external perturbation. We establish an extended fluctuation-dissipation theorem for active Brownian particles (ABP), which highlights the role played by the local violation of detailed balance du...

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Bibliographic Details
Published in:Physical review letters 2019-12, Vol.123 (23), p.238003-238003, Article 238003
Main Authors: Dal Cengio, Sara, Levis, Demian, Pagonabarraga, Ignacio
Format: Article
Language:English
Subjects:
Brownian motion
Computer simulation
Mathematical analysis
Perturbation
Response functions
Transport properties
Variation
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Summary:We address the question of how interacting active systems in a nonequilibrium steady state respond to an external perturbation. We establish an extended fluctuation-dissipation theorem for active Brownian particles (ABP), which highlights the role played by the local violation of detailed balance due to activity. By making use of a Markovian approximation we derive closed Green-Kubo expressions for the diffusivity and mobility of ABP and quantify the deviations from the Stokes-Einstein relation. We compute the linear response function to an external force using unperturbed simulations of ABP and compare the results with the analytical predictions of the transport coefficients. Our results show the importance of the interplay between activity and interactions in the departure from equilibrium linear response.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.123.238003