Article (Scientific journals)
Statistical mechanics of active Ornstein-Uhlenbeck particles
Martin, David; O’Byrne, Jérémy; Cates, Michael E. et al.
2021In Physical Review. E.
Peer reviewed
 

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Abstract :
[en] We study the statistical properties of active Ornstein-Uhlenbeck particles (AOUPs). In this simplest of models, the Gaussian white noise of overdamped Brownian colloids is replaced by a Gaussian colored noise. This suffices to grant this system the hallmark properties of active matter, while still allowing for analytical progress. We study in detail the steady-state distribution of AOUPs in the small persistence time limit and for spatially varying activity. At the collective level, we show AOUPs to experience motility-induced phase separation both in the presence of pairwise forces or due to quorum-sensing interactions. We characterize both the instability mechanism leading to phase separation and the resulting phase coexistence. We probe how, in the stationary state, AOUPs depart from their thermal equilibrium limit by investigating the emergence of ratchet currents and entropy production. In the small persistence time limit, we show how fluctuation-dissipation relations are recovered. Finally, we discuss how the emerging properties of AOUPs can be characterized from the dynamics of their collective modes.
Disciplines :
Physics
Author, co-author :
Martin, David;  Université de Paris, Laboratoire Matière et Systèmes Complexes (MSC), UMR 7057 CNRS,F-75205 Paris, France
O’Byrne, Jérémy;  Université de Paris, Laboratoire Matière et Systèmes Complexes (MSC), UMR 7057 CNRS,F-75205 Paris, France
Cates, Michael E.;  DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
FODOR, Etienne ;  University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
Nardini, Cesare;  Service de Physique de l’État Condensé, CNRS UMR 3680, CEA-Saclay, 91191 Gif-sur-Yvette, France ; DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
Tailleur, Julien;  Université de Paris, Laboratoire Matière et Systèmes Complexes (MSC), UMR 7057 CNRS,F-75205 Paris, France
van Wijland, Frédéric;  Université de Paris, Laboratoire Matière et Systèmes Complexes (MSC), UMR 7057 CNRS,F-75205 Paris, France
External co-authors :
yes
Language :
English
Title :
Statistical mechanics of active Ornstein-Uhlenbeck particles
Publication date :
11 March 2021
Journal title :
Physical Review. E.
Peer reviewed :
Peer reviewed
Focus Area :
Physics and Materials Science
Available on ORBilu :
since 01 September 2021

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