Energy transfer in simple and active binary fluid turbulence {\bf {-}} a false friend of incompressible MHD turbulence

Abstract

Inertial range energy transfer in three dimensional fully developed binary fluid turbulence is studied under the assumption of statistical homogeneity. Using two point statistics, exact relations corresponding to the energy cascade are derived (i) in terms of two-point increments and (ii) two-point correlators. Despite having some apparent resemblances, the exact relation in binary fluid turbulence is found to be different from that of the incompressible MHD turbulence (Politano and Pouquet, GRL, 1998). Besides the usual direct cascade of energy, under certain situations, an inverse cascade of energy is also speculated depending upon the strength of the activity parameter and the interplay between the two-point increments of the fluid velocity and the composition gradient fields. An alternative form of the exact relation is also derived in terms of the `upsilon' variables and a subsequent phenomenology is also proposed predicting a $k^{-3/2}$ law for the turbulent energy spectrum.

References in corpus (28)

• Spontaneous motion in hierarchically assembled active matter
• Meso-scale turbulence in living fluids
• How far from equilibrium is active matter?
• When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation
• Inertial effects in three dimensional spinodal decomposition of a symmetric binary fluid mixture: A lattice Boltzmann study
• Active Turbulence
• Exact relation for correlation functions in compressible isothermal turbulence
• Exact Relation with Two-point Correlation Functions and Phenomenological Approach for Compressible Magnetohydrodynamic Turbulence
• Active Model H: Scalar Active Matter in a Momentum-Conserving Fluid
• Minimal continuum theories of structure formation in dense active fluids
• Spinodal decomposition in homogeneous and isotropic turbulence
• Phase transition to large scale coherent structures in 2d active matter turbulence
• Turbulence and turbulent pattern formation in a minimal model for active fluids
• Turbulence and coarsening in active and passive binary mixtures
• A Kolmogorov-Like Exact Relation for Compressible Polytropic Turbulence
• An alternative formulation for exact scaling relations in hydrodynamic and magnetohydrodynamic turbulence
• Energy transfer in compressible magnetohydrodynamic turbulence for isothermal self-gravitating fluids
• Chiral Exact Relations for Helicities in Hall Magnetohydrodynamic Turbulence
• Spectral transfer and Kármán-Howarth-Monin equations for compressible Hall magnetohydrodynamics
• Kinetic energy spectra and flux in turbulent phase-separating symmetric binary-fluid mixtures
• Exact relations for energy transfer in self-gravitating isothermal turbulence
• Binary-Fluid Turbulence: Signatures of Multifractal Droplet Dynamics and Dissipation Reduction
• Scale-to-scale energy transfer rate in compressible two-fluid plasma turbulence
• Statistics of incompressible hydrodynamic turbulence: an alternative approach
• Fluctuations, renormalizations, and a convective instability in driven wet active matter
• Transition to Turbulence in Driven Active Matter
• Determination of energy flux rate in homogeneous ferrohydrodynamic turbulence using two-point statistics
• CHNS: A case study of turbulence in elastic media

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