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.
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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 -