Journal
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Volume 513, Issue 2, Pages 2457-2470Publisher
OXFORD UNIV PRESS
DOI: 10.1093/mnras/stac969
Keywords
dynamo; magnetic fields; MHD; turbulence
Categories
Funding
- Research School of Astronomy and Astrophysics
- ANU, through the Bok Honours scholarship
- ANU
- Dean's Higher Degree Research (theoretical physics) Scholarships
- Australian Government via the Australian Government Research Training Program Fee-Offset Scholarship
- Australian Research Council [FT180100495]
- Australia-Germany Joint Research Cooperation Scheme (UA-DAAD)
- Australian National Computational Infrastructure [ek9]
- Gauss Centre for Supercomputing [pr32lo, pn73fi, 10391, 22542]
- DOE
Ask authors/readers for more resources
The turbulent dynamo mechanism involves converting turbulent kinetic energy into magnetic energy and determining the scales at which magnetic fields concentrate, with a focus on the roles of viscous and resistive scales. Through numerical simulations, the dependence of characteristic scales on kinematic phases is explored, showing a principal dependence on the resistive scale k(eta). The study reveals dichotomies in the dynamo properties based on different hydrodynamic Reynolds numbers, with a minimum critical value of Re-crit = 100 for turbulent dynamo action.
The turbulent dynamo is a powerful mechanism that converts turbulent kinetic energy to magnetic energy. A key question regarding the magnetic field amplification by turbulence, is, on what scale, k(p) do magnetic fields become most concentrated? There has been some disagreement about whether k(p) is controlled by the viscous scale, k(nu) (where turbulent kinetic energy dissipates), or the resistive scale, k(eta) (where magnetic fields dissipate). Here, we use direct numerical simulations of magnetohydrodynamic turbulence to measure characteristic scales in the kinematic phase of the turbulent dynamo. We run 104-simulations with hydrodynamic Reynolds numbers of 10 <= Re <= 3600, and magnetic Reynolds numbers of 270 <= Rm <= 4000, to explore the dependence of k(p) on k(nu) and k(eta). Using physically motivated models for the kinetic and magnetic energy spectra, we measure k(nu), k(eta), and k(p), making sure that the obtained scales are numerically converged. We determine the overall dissipation scale relations k(nu) = (0.025(-0.006)(+0.005))k(turb) Re-3/4 and k(eta) = (0.88(-0.23)(+0.21))k(nu) Pm-1/(2), where k(turb) is the turbulence driving wavenumber and Pm = Rm/Re is the magnetic Prandtl number. We demonstrate that the principle dependence of k(p) is on k(eta). For plasmas, where Re greater than or similar to 100, we find that k(p) = (1.2(-0.2)(+0.2)) k(eta), with the proportionality constant related to the power-law 'Kazantsev' exponent of the magnetic power spectrum. Throughout this study, we find a dichotomy in the fundamental properties of the dynamo where Re > 100, compared to Re < 100. We report a minimum critical hydrodynamic Reynolds number, Re-crit = 100 for bonafide turbulent dynamo action.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available