Stationary solution for quasi-homogeneous small-scale magnetic field advected by non-Gaussian turbulent flow
arXiv:2009.13746 · doi:10.1063/5.0031520
Abstract
We consider fluctuations of magnetic field excited by external force and advected by isotropic turbulent flow. It appears that non-Gaussian velocity gradient statistics and finite region of pumping force provide the existence of stationary solution. The mean-square magnetic field is calculated for arbitrary velocity gradient statistics. An estimate for possible feedback of magnetic field on velocity shows that, for wide range of parameters, stationarity without feedback would take place even in the case of intensive pumping of magnetic field.
7 pages, 2 figures
References in corpus (6)
- Current status of turbulent dynamo theory: From large-scale to small-scale dynamos
- Special invited paper. Large deviations
- Twenty-five years of multifractals in fully developed turbulence: a tribute to Giovanni Paladin
- Dual constant-flux energy cascades to both large scales and small scales
- Infinite Products of Random Isotropically Distributed Matrices
- Two-dimensional magnetohydrodynamic turbulence with large and small energy-injection length scales
Cited by in corpus (4)
- Long-term properties of finite-correlation time isotropic stochastic systems
- Suppression of small-scale dynamo in time irreversible turbulence
- Magnetic energy spectrum produced by turbulent dynamo: effect of time irreversibility
- Evolution of localized magnetic field perturbations and the nature of turbulent dynamo