# Self-similar turbulent dynamo.

@article{Schekochihin2004SelfsimilarTD, title={Self-similar turbulent dynamo.}, author={A. A. Schekochihin and S C Cowley and Jason L. Maron and James C. McWilliams}, journal={Physical review letters}, year={2004}, volume={92 6}, pages={ 064501 } }

The amplification of magnetic fields in a highly conducting fluid is studied numerically. During growth, the magnetic field is spatially intermittent: it does not uniformly fill the volume, but is concentrated in long thin folded structures. Contrary to a commonly held view, intermittency of the folded field does not increase indefinitely throughout the growth stage if diffusion is present. Instead, as we show, the probability-density function (PDF) of the field-strength becomes self-similar…

## 14 Citations

Dynamo Regimes with a Nonhelical Forcing

- Physics
- 2005

A three-dimensional numerical computation of magnetohydrodynamic dynamo behavior is described. The dynamo is mechanically forced with a driving term of the Taylor-Green type. The magnetic field…

Nonlinear dynamos at infinite magnetic Prandtl number.

- Physics, MedicinePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2011

The dynamo instability is investigated in the limit of infinite magnetic Prandtl number. In this limit the fluid is assumed to be very viscous so that the inertial terms can be neglected and the flow…

Small-scale kinematic dynamo and non-dynamo in inertial-range turbulence.

- Physics
- 2010

We investigate the Lagrangian mechanism of the kinematic 'fluctuation' magnetic dynamo in a turbulent plasma flow at small magnetic Prandtl numbers. The combined effect of turbulent advection and…

The small-scale turbulent dynamo in smoothed particle magnetohydrodynamics

- Physics
- 2016

Supersonic turbulence is believed to be at the heart of star formation. We have performed smoothed particle magnetohydrodynamics (SPMHD) simulations of the small- scale dynamo amplification of…

A comparison between grid and particle methods on the small-scale dynamo in magnetized supersonic turbulence

- Physics
- 2016

We perform a comparison between the smoothed particle magnetohydrodynamics (SPMHD) code, Phantom, and the Eulerian grid-based code, Flash, on the small-scale turbulent dynamo in driven, Mach 10…

Dynamo action at low magnetic Prandtl numbers: mean flow versus fully turbulent motions

- Physics
- 2007

We compute numerically the threshold for dynamo action in Taylor- Green (TG) swirling flows. Kinematic dynamo calculations, for which the flow field is fixed to its time average, are compared to…

Diffusion of passive scalar in a finite-scale random flow.

- Physics, MedicinePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2004

The solution elucidates the spectral make up of the "strange mode," combining small-scale structure and a decay law set by the largest scales, by considering a solvable model of the decay of scalar variance in a single-scale random velocity field.

Numerical simulations of the decay of primordial magnetic turbulence

- Physics
- 2010

We perform direct numerical simulations of forced and freely decaying 3D magnetohydrodynamic turbulence in order to model magnetic field evolution during cosmological phase transitions in the early…

Magnetic flux captured by an accretion disk

- Physics
- 2005

We suggest a possible mechanism of efficient transport of the large-scale external magnetic flux inward through a turbulent accretion disk. The outward drift by turbulent diffusion that limits the…

Buoyancy instabilities in galaxy clusters: convection due to adiabatic cosmic rays and anisotropic thermal conduction

- Physics
- 2009

Using a linear stability analysis and two- and three-dimensional nonlinear simulations, we study the physics of buoyancy instabilities in a combined thermal and relativistic (cosmic ray) plasma,…

## References

SHOWING 1-10 OF 14 REFERENCES

Stretch, Twist, Fold: The Fast Dynamo

- Physics
- 1995

Introduction: the fast dynamo problem fast dynamo action in flows fast dynamo in maps. Methods and their applications: dynamos and non-dynamos magnetic structure in steady integrable flows upper…

1Note that for the problem of passive-scalar decay, self-similar behavior was also found numerically in certain maps (the so-called “strange mode

- J. Fluid Mech
- 1984

Astrophys. J. in preparation

- Astrophys. J. in preparation
- 2003

Phys. Rev. E

- Phys. Rev. E
- 2002

Phys. Rev. E

- Phys. Rev. E
- 2002

Phys. Rev. Lett

- Phys. Rev. Lett
- 1999

Phys. Plasmas

- Phys. Plasmas
- 1998

Twist, Fold: The Fast Dynamo

- Twist, Fold: The Fast Dynamo
- 1995

Chaos Solitons & Fractals

- Chaos Solitons & Fractals
- 1994

J. Fluid Mech

- J. Fluid Mech
- 1993