Hydrodynamic correlation functions of chiral active fluids

Debarghya Banerjee; Anton Souslov; Vincenzo Vitelli

doi:10.1103/PhysRevFluids.7.043301

Hydrodynamic correlation functions of chiral active fluids

Debarghya Banerjee, Anton Souslov, Vincenzo Vitelli

Research output: Contribution to journal › Article

8 Citations (SciVal)

81 Downloads (Pure)

Abstract

The success of spectroscopy to characterize equilibrium fluids, for example the heat-capacity ratio, suggests a parallel approach for active fluids. Here, we start from a hydrodynamic description of chiral active fluids composed of spinning constituents and derive their low-frequency, long-wavelength response functions using the Kadanoff-Martin formalism. We find that the presence of odd (equivalently, Hall) viscosity leads to mixed density-vorticity response even at linear order. Such response, prohibited in time-reversal-invariant fluids, is a large-scale manifestation of the microscopic breaking of time-reversal symmetry. Our work suggests possible experimental probes that can measure anomalous transport coefficients in active fluids through dynamic light scattering.

Original language	English
Article number	043301
Journal	Physical Review Fluids
Volume	7
Issue number	4
Early online date	25 Apr 2022
DOIs	https://doi.org/10.1103/PhysRevFluids.7.043301
Publication status	Published - 30 Apr 2022

Bibliographical note

Funding Information:
This research was supported in part by the International Centre for Theoretical Sciences (ICTS) for the online program - Hydrodynamics and fluctuations - microscopic approaches in condensed matter systems (code: ICTS/hydro2021/9). We gratefully acknowledge discussions with William Irvine and Tom Lubensky. V.V. acknowledges support from the Simons Foundation, the Complex Dynamics and Systems Program of the Army Research Office under grant W911NF-19-1-0268 and the University of Chicago Materials Research Science and Engineering Center, which is funded by the National Science Foundation under award no. DMR-2011854. A.S. acknowledges the support of the Engineering and Physical Sciences Research Council (EPSRC) through New Investigator Award No. EP/T000961/1, the Royal Society through Grant No. RGS/R2/202135, and partial support through the Chicago MRSEC, funded by the NSF through grant DMR-1420709.

.

ASJC Scopus subject areas

Computational Mechanics
Modelling and Simulation
Fluid Flow and Transfer Processes

Access to Document

10.1103/PhysRevFluids.7.043301

2005.00621v1.PDF
(c) 2022 American Physical Society.
Accepted author manuscript, 827 KB

Cite this

@article{54b045fc9336472cb370bb8b31792ee9,

title = "Hydrodynamic correlation functions of chiral active fluids",

abstract = "The success of spectroscopy to characterize equilibrium fluids, for example the heat-capacity ratio, suggests a parallel approach for active fluids. Here, we start from a hydrodynamic description of chiral active fluids composed of spinning constituents and derive their low-frequency, long-wavelength response functions using the Kadanoff-Martin formalism. We find that the presence of odd (equivalently, Hall) viscosity leads to mixed density-vorticity response even at linear order. Such response, prohibited in time-reversal-invariant fluids, is a large-scale manifestation of the microscopic breaking of time-reversal symmetry. Our work suggests possible experimental probes that can measure anomalous transport coefficients in active fluids through dynamic light scattering.",

author = "Debarghya Banerjee and Anton Souslov and Vincenzo Vitelli",

note = "Funding Information: This research was supported in part by the International Centre for Theoretical Sciences (ICTS) for the online program - Hydrodynamics and fluctuations - microscopic approaches in condensed matter systems (code: ICTS/hydro2021/9). We gratefully acknowledge discussions with William Irvine and Tom Lubensky. V.V. acknowledges support from the Simons Foundation, the Complex Dynamics and Systems Program of the Army Research Office under grant W911NF-19-1-0268 and the University of Chicago Materials Research Science and Engineering Center, which is funded by the National Science Foundation under award no. DMR-2011854. A.S. acknowledges the support of the Engineering and Physical Sciences Research Council (EPSRC) through New Investigator Award No. EP/T000961/1, the Royal Society through Grant No. RGS/R2/202135, and partial support through the Chicago MRSEC, funded by the NSF through grant DMR-1420709. .",

year = "2022",

month = apr,

day = "30",

doi = "10.1103/PhysRevFluids.7.043301",

language = "English",

volume = "7",

journal = "Physical Review Fluids",

issn = "2469-990X",

publisher = "American Physical Society",

number = "4",

}

TY - JOUR

T1 - Hydrodynamic correlation functions of chiral active fluids

AU - Banerjee, Debarghya

AU - Souslov, Anton

AU - Vitelli, Vincenzo

N1 - Funding Information: This research was supported in part by the International Centre for Theoretical Sciences (ICTS) for the online program - Hydrodynamics and fluctuations - microscopic approaches in condensed matter systems (code: ICTS/hydro2021/9). We gratefully acknowledge discussions with William Irvine and Tom Lubensky. V.V. acknowledges support from the Simons Foundation, the Complex Dynamics and Systems Program of the Army Research Office under grant W911NF-19-1-0268 and the University of Chicago Materials Research Science and Engineering Center, which is funded by the National Science Foundation under award no. DMR-2011854. A.S. acknowledges the support of the Engineering and Physical Sciences Research Council (EPSRC) through New Investigator Award No. EP/T000961/1, the Royal Society through Grant No. RGS/R2/202135, and partial support through the Chicago MRSEC, funded by the NSF through grant DMR-1420709. .

PY - 2022/4/30

Y1 - 2022/4/30

N2 - The success of spectroscopy to characterize equilibrium fluids, for example the heat-capacity ratio, suggests a parallel approach for active fluids. Here, we start from a hydrodynamic description of chiral active fluids composed of spinning constituents and derive their low-frequency, long-wavelength response functions using the Kadanoff-Martin formalism. We find that the presence of odd (equivalently, Hall) viscosity leads to mixed density-vorticity response even at linear order. Such response, prohibited in time-reversal-invariant fluids, is a large-scale manifestation of the microscopic breaking of time-reversal symmetry. Our work suggests possible experimental probes that can measure anomalous transport coefficients in active fluids through dynamic light scattering.

AB - The success of spectroscopy to characterize equilibrium fluids, for example the heat-capacity ratio, suggests a parallel approach for active fluids. Here, we start from a hydrodynamic description of chiral active fluids composed of spinning constituents and derive their low-frequency, long-wavelength response functions using the Kadanoff-Martin formalism. We find that the presence of odd (equivalently, Hall) viscosity leads to mixed density-vorticity response even at linear order. Such response, prohibited in time-reversal-invariant fluids, is a large-scale manifestation of the microscopic breaking of time-reversal symmetry. Our work suggests possible experimental probes that can measure anomalous transport coefficients in active fluids through dynamic light scattering.

UR - http://www.scopus.com/inward/record.url?scp=85129771556&partnerID=8YFLogxK

U2 - 10.1103/PhysRevFluids.7.043301

DO - 10.1103/PhysRevFluids.7.043301

M3 - Article

SN - 2469-990X

VL - 7

JO - Physical Review Fluids

JF - Physical Review Fluids

IS - 4

M1 - 043301

ER -

Hydrodynamic correlation functions of chiral active fluids

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Designing soft engines and active solids

Cite this

Hydrodynamic correlation functions of chiral active fluids

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Projects

Designing soft engines and active solids

Cite this