Time reversal symmetry breaking in two-dimensional non-equilibrium viscous fluids
arXiv:1907.10041 · doi:10.1103/PhysRevE.101.052614
Abstract
We study the rheological signatures of departure from equilibrium in two-dimensional viscous fluids with and without internal spin. Under the assumption of isotropy, we provide the most general linear constitutive relations for stress and couple stress in terms of the velocity and spin fields. Invoking Onsager's regression hypothesis for fluctuations about steady states, we derive the Green-Kubo formulae relating the transport coefficients to time correlation functions of the fluctuating stress. In doing so, we verify the claim that one of the non-equilibrium transport coefficients, the odd-viscosity, requires time reversal symmetry breaking in the case of systems without internal spin. However, the Green-Kubo relations for systems with internal spin also show that there is a possibility for non-vanishing odd viscosity even when time reversal symmetry is preserved. Furthermore, we find that breakdown of equipartition in non-equilibrium steady states results in the decoupling of the two rotational viscosities relating the vorticity and the internal spin.
References in corpus (22)
- Novel type of phase transition in a system of self-driven particles
- Athermal Phase Separation of Self-Propelled Particles with no Alignment
- Meso-scale turbulence in living fluids
- Hydrodynamic fluctuations and instabilities in ordered suspensions of self-propelled particles
- Onset of collective and cohesive motion
- Statistical Mechanics of Interacting Run-and-Tumble Bacteria
- Rheology of Active-Particle Suspensions
- Viscosity of Quantum Hall Fluids
- Pressure and Phase Equilibria in Interacting Active Brownian Spheres
- Odd viscosity in chiral active fluids
- Arrested phase separation in reproducing bacteria: a generic route to pattern formation?
- Self-propelled Janus particles in a ratchet: Numerical simulations
- Rectification of Swimming Bacteria and Self Driven Particle Systems by Arrays of Asymmetric Barriers
- Topological waves in fluids with odd viscosity
- Defect-mediated morphologies in growing cell colonies
- Spatiotemporal order and emergent edge currents in active spinner materials
- Odd viscosity in two-dimensional incompressible fluids
- Tunable dynamics of microtubule based active isotropic gels
- Topological localization in out-of-equilibrium dissipative systems
- Probing the shear viscosity of an active nematic
- Statistical mechanics of transport processes in active fluids: Equations of hydrodynamics
- Statistical Mechanics of Transport Processes in Active Fluids II: Equations of Hydrodynamics for Active Brownian Particles
Cited by in corpus (26)
- Odd Viscosity and Odd Elasticity
- Statistical mechanics of a chiral active fluid
- Motile dislocations knead odd crystals into whorls
- Transport phenomena in electrolyte solutions: Non-equilibrium thermodynamics and statistical mechanics
- Odd Diffusivity of Chiral Random Motion
- Thermodynamic Bound on the Asymmetry of Cross-Correlations
- Entropy production fluctuations encode collective behavior in active matter
- Non-reciprocal response of a two-dimensional fluid with odd viscosity
- Lorentz Reciprocal Theorem in Fluids with Odd Viscosity
- Lift force in odd compressible fluids
- Viscometry of electron fluids from symmetry
- Hydrodynamic lift of a two-dimensional liquid domain with odd viscosity
- Time-correlation functions for odd Langevin systems
- Nonequilibrium Green-Kubo relations for hydrodynamic transport from an equilibrium-like fluctuation-response equality
- Nonequilibrium Transport Induced by Biological Nanomachines
- A mechanism for anomalous transport in chiral active liquids
- Thermocapillary migrating odd viscous droplets
- Probe particles in odd active viscoelastic fluids: how activity and dissipation determine linear stability
- Emergent Stripes of Active Rotors in Shear Flows
- Odd elasticity of a catalytic micromachine
- Analytical solution for the hydrodynamic resistance of a disk in a compressible fluid layer with odd viscosity on a rigid substrate
- Irreversible Boltzmann samplers in dense liquids: weak-coupling approximation and mode-coupling theory
- Transverse forces and glassy liquids in infinite dimensions
- Hydrodynamics of the electronic Fermi liquid: a pedagogical overview
- Hydrodynamic flow field and frictional resistance coefficient of a disk rotating steadily in a compressible fluid layer with odd viscosity on a rigid substrate
- Simple fluid with broken time reversal invariance