Scalar Active Mixtures: The Nonreciprocal Cahn-Hilliard Model

Pair interactions between active particles need not follow Newton’s third law. In this work, we propose a continuum model of pattern formation due to nonreciprocal interaction between multiple species of scalar active matter. The classical Cahn-Hilliard model is minimally modified by supplementing t...

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Autores principales:	Suropriya Saha, Jaime Agudo-Canalejo, Ramin Golestanian
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2020
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/93ade11905f2444fbcc1650e3f7c026e
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spelling	oai:doaj.org-article:93ade11905f2444fbcc1650e3f7c026e2021-12-02T11:14:15ZScalar Active Mixtures: The Nonreciprocal Cahn-Hilliard Model10.1103/PhysRevX.10.0410092160-3308https://doaj.org/article/93ade11905f2444fbcc1650e3f7c026e2020-10-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.10.041009http://doi.org/10.1103/PhysRevX.10.041009https://doaj.org/toc/2160-3308Pair interactions between active particles need not follow Newton’s third law. In this work, we propose a continuum model of pattern formation due to nonreciprocal interaction between multiple species of scalar active matter. The classical Cahn-Hilliard model is minimally modified by supplementing the equilibrium Ginzburg-Landau dynamics with particle-number-conserving currents, which cannot be derived from a free energy, reflecting the microscopic departure from action-reaction symmetry. The strength of the asymmetry in the interaction determines whether the steady state exhibits a macroscopic phase separation or a traveling density wave displaying global polar order. The latter structure, which is equivalent to an active self-propelled smectic phase, coarsens via annihilation of defects, whereas the former structure undergoes Ostwald ripening. The emergence of traveling density waves, which is a clear signature of broken time-reversal symmetry in this active system, is a generic feature of any multicomponent mixture with microscopic nonreciprocal interactions.Suropriya SahaJaime Agudo-CanalejoRamin GolestanianAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 10, Iss 4, p 041009 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Suropriya Saha Jaime Agudo-Canalejo Ramin Golestanian Scalar Active Mixtures: The Nonreciprocal Cahn-Hilliard Model
description	Pair interactions between active particles need not follow Newton’s third law. In this work, we propose a continuum model of pattern formation due to nonreciprocal interaction between multiple species of scalar active matter. The classical Cahn-Hilliard model is minimally modified by supplementing the equilibrium Ginzburg-Landau dynamics with particle-number-conserving currents, which cannot be derived from a free energy, reflecting the microscopic departure from action-reaction symmetry. The strength of the asymmetry in the interaction determines whether the steady state exhibits a macroscopic phase separation or a traveling density wave displaying global polar order. The latter structure, which is equivalent to an active self-propelled smectic phase, coarsens via annihilation of defects, whereas the former structure undergoes Ostwald ripening. The emergence of traveling density waves, which is a clear signature of broken time-reversal symmetry in this active system, is a generic feature of any multicomponent mixture with microscopic nonreciprocal interactions.
format	article
author	Suropriya Saha Jaime Agudo-Canalejo Ramin Golestanian
author_facet	Suropriya Saha Jaime Agudo-Canalejo Ramin Golestanian
author_sort	Suropriya Saha
title	Scalar Active Mixtures: The Nonreciprocal Cahn-Hilliard Model
title_short	Scalar Active Mixtures: The Nonreciprocal Cahn-Hilliard Model
title_full	Scalar Active Mixtures: The Nonreciprocal Cahn-Hilliard Model
title_fullStr	Scalar Active Mixtures: The Nonreciprocal Cahn-Hilliard Model
title_full_unstemmed	Scalar Active Mixtures: The Nonreciprocal Cahn-Hilliard Model
title_sort	scalar active mixtures: the nonreciprocal cahn-hilliard model
publisher	American Physical Society
publishDate	2020
url	https://doaj.org/article/93ade11905f2444fbcc1650e3f7c026e
work_keys_str_mv	AT suropriyasaha scalaractivemixturesthenonreciprocalcahnhilliardmodel AT jaimeagudocanalejo scalaractivemixturesthenonreciprocalcahnhilliardmodel AT ramingolestanian scalaractivemixturesthenonreciprocalcahnhilliardmodel
_version_	1718396119409491968

Scalar Active Mixtures: The Nonreciprocal Cahn-Hilliard Model

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