Large-scale chaos and fluctuations in active nematics

Sandrine Ngo; Anton Peshkov; Igor S. Aranson; Eric Bertin; Francesco Ginelli; Hugues Chate

doi:10.1103/PhysRevLett.113.038302

Large-scale chaos and fluctuations in active nematics

Sandrine Ngo^*, Anton Peshkov, Igor S. Aranson, Eric Bertin, Francesco Ginelli, Hugues Chate

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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Abstract

We show that "dry" active nematics, e.g. collections of shaken elongated granular particles, exhibit large-scale spatiotemporal chaos made of interacting dense, ordered, band-like structures in a parameter region including the linear onset of nematic order. These results are obtained from the study of the relatively simple and well-known (deterministic) hydrodynamic equations describing these systems in a dilute limit, and of a self-propelled particle Vicsek-like model for this class of active matter. In this last case, revisiting the status of the strong fluctuations and long-range correlations now considered as landmarks of orientationally-ordered active phases, we show that the giant number fluctuations observed in the chaotic phase are a trivial consequence of density segregation. However anomalous density fluctuations are present in the homogeneous quasi-ordered nematic phase and characterized by a non-trivial scaling exponent.

Original language	English
Article number	038302
Number of pages	6
Journal	Physical Review Letters
Volume	113
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevLett.113.038302
Publication status	Published - 18 Jul 2014

Bibliographical note

We thank the Max Planck Institute for the Physics of Complex Systems, Dresden, for providing the framework of the Advanced Study Group “Statistical Physics of Collective Motion” within which much of this work was conducted. F. G. and S. N. acknowledge support from the EPSRC First Grant No. EP/K018450/1. The work of I. S. A. was supported by the U.S. Department of Energy, Office of
Basic Energy Sciences, Division of Materials Science and Engineering, under Contract No. DEAC02-06CH11357.

Keywords

giant number fluctuations
matter
microtubules
systems
fluids

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title = "Large-scale chaos and fluctuations in active nematics",

abstract = "We show that {"}dry{"} active nematics, e.g. collections of shaken elongated granular particles, exhibit large-scale spatiotemporal chaos made of interacting dense, ordered, band-like structures in a parameter region including the linear onset of nematic order. These results are obtained from the study of the relatively simple and well-known (deterministic) hydrodynamic equations describing these systems in a dilute limit, and of a self-propelled particle Vicsek-like model for this class of active matter. In this last case, revisiting the status of the strong fluctuations and long-range correlations now considered as landmarks of orientationally-ordered active phases, we show that the giant number fluctuations observed in the chaotic phase are a trivial consequence of density segregation. However anomalous density fluctuations are present in the homogeneous quasi-ordered nematic phase and characterized by a non-trivial scaling exponent.",

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AU - Peshkov, Anton

AU - Aranson, Igor S.

AU - Bertin, Eric

AU - Ginelli, Francesco

AU - Chate, Hugues

N1 - We thank the Max Planck Institute for the Physics of Complex Systems, Dresden, for providing the framework of the Advanced Study Group “Statistical Physics of Collective Motion” within which much of this work was conducted. F. G. and S. N. acknowledge support from the EPSRC First Grant No. EP/K018450/1. The work of I. S. A. was supported by the U.S. Department of Energy, Office of Basic Energy Sciences, Division of Materials Science and Engineering, under Contract No. DEAC02-06CH11357.

PY - 2014/7/18

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N2 - We show that "dry" active nematics, e.g. collections of shaken elongated granular particles, exhibit large-scale spatiotemporal chaos made of interacting dense, ordered, band-like structures in a parameter region including the linear onset of nematic order. These results are obtained from the study of the relatively simple and well-known (deterministic) hydrodynamic equations describing these systems in a dilute limit, and of a self-propelled particle Vicsek-like model for this class of active matter. In this last case, revisiting the status of the strong fluctuations and long-range correlations now considered as landmarks of orientationally-ordered active phases, we show that the giant number fluctuations observed in the chaotic phase are a trivial consequence of density segregation. However anomalous density fluctuations are present in the homogeneous quasi-ordered nematic phase and characterized by a non-trivial scaling exponent.

AB - We show that "dry" active nematics, e.g. collections of shaken elongated granular particles, exhibit large-scale spatiotemporal chaos made of interacting dense, ordered, band-like structures in a parameter region including the linear onset of nematic order. These results are obtained from the study of the relatively simple and well-known (deterministic) hydrodynamic equations describing these systems in a dilute limit, and of a self-propelled particle Vicsek-like model for this class of active matter. In this last case, revisiting the status of the strong fluctuations and long-range correlations now considered as landmarks of orientationally-ordered active phases, we show that the giant number fluctuations observed in the chaotic phase are a trivial consequence of density segregation. However anomalous density fluctuations are present in the homogeneous quasi-ordered nematic phase and characterized by a non-trivial scaling exponent.

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Large-scale chaos and fluctuations in active nematics

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Bibliographical note

Keywords

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