Universal Nonlinear Small-Scale Dynamo

Abstract

We consider astrophysically relevant nonlinear MHD dynamo at large Reynolds numbers (Re). We argue that it is universal in a sense that magnetic energy grows at a rate which is a constant fraction C_E of the total turbulent dissipation rate. On the basis of locality bounds we claim that this "efficiency of small-scale dynamo", C_E, is a true constant for large Re and is determined only by strongly nonlinear dynamics at the equipartition scale. We measured C_E in numerical simulations and observed a value around 0.05 in highest resolution simulations. We address the issue of C_E being small, unlike Kolmogorov constant which is of order unity.

4 pages 3 figures

References in corpus (8)

• Turbulence and Magnetic Fields in the Large Scale Structure of the Universe
• Simulations of nonhelical hydromagnetic turbulence
• The Spectral Slope and Kolmogorov Constant of MHD turbulence
• Structures of the magnetoionic media around the FR I radio galaxies 3C 31 and Hydra A
• Alpha effect and turbulent diffusion from convection
• Comparison of spectral slopes of magnetohydrodynamic and hydrodynamic turbulence and measurements of alignment effects
• Structure of Stationary Strong Imbalanced Turbulence
• Fluctuation Dynamo and Turbulent Induction at Small Prandtl Number

Cited by in corpus (65)

• Laboratory evidence of dynamo amplification of magnetic fields in a turbulent plasma
• 3D Turbulent Reconnection: Theory, Tests and Astrophysical Implications
• Dynamo theories
• Current status of turbulent dynamo theory: From large-scale to small-scale dynamos
• Turbulence, Magnetic Reconnection in Turbulent Fluids and Energetic Particle Acceleration
• A new interpretation of the far-infrared - radio correlation and the expected breakdown at high redshift
• Vertical Equilibrium, Energetics, and Star Formation Rates in Magnetized Galactic Disks Regulated by Momentum Feedback from Supernovae
• Vorticity, Shocks and Magnetic Fields in Subsonic, ICM-like Turbulence
• Magnetization of cloud cores and envelopes and other observational consequences of reconnection diffusion
• Second order Fermi reacceleration mechanisms and large scale synchrotron radio emission in intra-cluster bridges
• The small scale dynamo and the amplification of magnetic fields in massive primordial haloes
• Fluctuation dynamos and their Faraday rotation signatures
• Turbulent dynamo in a conducting fluid and partially ionized gas
• Spectra of strong MHD Turbulence from high-resolution simulations
• Self-similar energetics in large clusters of galaxies
• Magnetic Field Generation in Stars
• Rayleigh-Taylor Instability in a Relativistic Fireball on a Moving Computational Grid
• MHD Turbulence
• Fast magnetic field amplification in distant galaxyclusters
• Turbulent Amplification and Structure of the Intracluster Magnetic Field
• A One-Dimensional Model for Rayleigh-Taylor Instability in Supernova Remnants
• Magnetic fields and relativistic electrons fill entire galaxy cluster
• Basic Properties of MHD Turbulence in the Inertial Range
• Magnetic Fields in the Formation of the First Stars. I. Theory vs. Simulation
• Ab initio Simulations of a Supernova Driven Galactic Dynamo in an Isolated Disk Galaxy
• Time-resolved fast turbulent dynamo in a laser plasma
• Interpretation of the structure function of rotation measure in the interstellar medium
• Seed magnetic fields in turbulent small-scale dynamos
• The small-scale dynamo: Breaking universality at high Mach numbers
• Fluctuation dynamo in a weakly collisional plasma
• First order particle acceleration in magnetically-driven flows
• Models of magnetic-field evolution and effective viscosity in weakly collisional extragalactic plasmas
• Magnetic field amplification in supernova remnants
• Magnetic fields in the formation of the first stars.--II Results
• MHD Turbulence, Turbulent Dynamo and Applications
• Magnetic fields in primordial accretion disks
• Primordial magnetic field generation via primordial black hole disks
• Shock Corrugation by Rayleigh-Taylor Instability in GRB Afterglow Jets
• A 3.5 Mpc-long radio relic in the galaxy cluster ClG 0217+70
• Nonlinear turbulent dynamo during gravitational collapse
• Magnetic helicity and the evolution of decaying magnetohydrodynamic turbulence
• Effects of multiple-scale driving on turbulence statistics
• Mixing in Magnetized Turbulent Media
• Magnetohydrodynamics with Physics Informed Neural Operators
• Constraints on dynamo action in plasmas
• Plasma physics of the intracluster medium
• Turbulent dynamo in a weakly ionized medium
• Fundamental MHD scales -- II: the kinematic phase of the supersonic small-scale dynamo
• Insensitivity of a turbulent laser-plasma dynamo to initial conditions
• Small-Scale Dynamo in Stably Stratified Turbulence
• Lagrangian statistics of a shock-driven turbulent dynamo in decaying turbulence
• Cosmic ray diffusion in magnetic fields amplified by nonlinear turbulent dynamo
• Magnetic fields during high redshift structure formation
• Fluctuation dynamo at finite correlation times using renewing flows
• A model for the infrared-radio correlation of main-sequence galaxies at GHz frequencies and its variation on redshift and stellar mass
• The effect of pressure-anisotropy-driven kinetic instabilities on magnetic field amplification in galaxy clusters
• Magnetic Fields, Star Formation Rates and Gas Densities at Sub-kpc Scales in a Pilot Sample of Nearby Galaxies
• Magnetic dynamos in galaxy clusters: the crucial role of galaxy formation physics at high redshifts
• Propagation of weak shocks in cool-core galaxy clusters in two-temperature magnetohydrodynamics with anisotropic thermal conduction
• On the saturation mechanism of the fluctuation dynamo at ${\text{Pr}}_{\mathrm{M}}\ge 1$
• Turbulence and Dynamo Interlinks
• Probing the Morphology of Polarized Emission Induced by Fluctuation Dynamo using Minkowski Functionals
• Effective Viscosity in the Intracluster Medium During Magnetic Field Amplification via Turbulent Dynamo
• Scaling of Small-Scale Dynamo Properties in the Rayleigh-Taylor Instability
• Saturation mechanism of the fluctuation dynamo in supersonic turbulent plasmas