Magnetic structures produced by the small-scale dynamo

Abstract

Fluctuation dynamo action has been obtained for a flow previously used to model fluid turbulence, where the sensitivity of the magnetic field parameters to the kinetic energy spectrum can be explored. We apply quantitative morphology diagnostics, based on the Minkowski functionals, to magnetic fields produced by the kinematic fluctuation dynamo to show that magnetic structures are predominantly filamentary rather than sheet-like. Our results suggest that the thickness, width and length of the structures scale differently with magnetic Reynolds number.

4 pages, 6 figures Replacement of v1: references added, text shortened, title slightly changed

References in corpus (14)

• Astrophysical magnetic fields and nonlinear dynamo theory
• Simulations of small-scale turbulent dynamo
• Generation of magnetic field by dynamo action in a turbulent flow of liquid sodium
• Simulations of nonhelical hydromagnetic turbulence
• Evolving turbulence and magnetic fields in galaxy clusters
• Plasma instabilities and magnetic-field growth in clusters of galaxies
• Beyond genus statistics: a unifying approach to the morphology of cosmic structure
• On magnetic field generation in Kolmogorov turbulence
• Shapefinders: A new shape diagnostic for large scale structure
• A Unified treatment of small and large- scale dynamos in helical turbulence
• The onset of a small-scale turbulent dynamo at low magnetic Prandtl numbers
• Disentangling the Cosmic Web I: Morphology of Isodensity Contours
• Magnetic turbulence in cool cores of galaxy clusters
• Small scale structures in three-dimensional magnetohydrodynamic turbulence

Cited by in corpus (28)

• Dimensionality and morphology of particle and bubble clusters in turbulent flow
• IMAGINE: A comprehensive view of the interstellar medium, Galactic magnetic fields and cosmic rays
• Global diffusion of cosmic rays
• Cosmic Rays in Intermittent Magnetic Fields
• Thermally- and mechanically-driven quantum turbulence in helium II
• Relative distribution of cosmic rays and magnetic fields
• An observational test for correlations between cosmic rays and magnetic fields
• Scalings of intermittent structures in magnetohydrodynamic turbulence
• Temporal Intermittency of Energy Dissipation in Magnetohydrodynamic Turbulence
• Vortex density fluctuations in quantum turbulence
• Supernova-regulated ISM -- V. Space- and time-correlations
• Galactic magnetic fields and hierarchical galaxy formation
• Fluctuation dynamo amplified by intermittent shear bursts in convectively driven magnetohydrodynamic turbulence
• Temporal Analysis of Dissipative Structures in Magnetohydrodynamic Turbulence
• Topological signatures of interstellar magnetic fields - I. Betti numbers and persistence diagrams
• Magnetic fields in elliptical galaxies: an observational probe of the fluctuation dynamo action
• Dissipative magnetic structures and scales in small-scale dynamos
• Topological data analysis and diagnostics of compressible MHD turbulence
• Cosmic rays and random magnetic traps
• A Reconnecting Flux Rope Dynamo
• Aspect ratios of far-infrared and H i filaments in the diffuse interstellar medium at high Galactic latitudes
• Stretching in a model of a turbulent flow
• Fluctuation dynamo based on magnetic reconnections
• Gravitomagnetic relativistic effects on turbulence
• Probing the Morphology of Polarized Emission Induced by Fluctuation Dynamo using Minkowski Functionals
• On the saturation mechanism of the fluctuation dynamo at ${\text{Pr}}_{\mathrm{M}}\ge 1$
• Revisiting the Equipartition Assumption in Star-forming Galaxies
• Non-Gaussian Magnetic Structures in the Small-Scale Turbulent Dynamo