Test-field method: selected and related references

Early and original papers by Schrinner et al.

Schrinner, M., Rädler, K.-H., Schmitt, D., Rheinhardt, M., & Christensen, U.: 2005, ``Mean-field view on rotating magnetoconvection and a geodynamo model,'' Astron. Nachr.326, 245-249 (ADS)

Schrinner, M., Rädler, K.-H., Schmitt, D., Rheinhardt, M., & Christensen, U.: 2007, ``Mean-field concept and direct numerical simulations of rotating magnetoconvection and the geodynamo,'' Geophys. Astrophys. Fluid Dynamics101, 81-116 (ADS)

Brandenburg, A.: 2005, ``Turbulence and its parametrization in accretion discs,'' Astron. Nachr. 326, 787-797 (astro-ph/0510015, ADS, PDF)

Nonlinear and quasi-kinematic test-field method

Brandenburg, A., Rädler, K.-H., Rheinhardt, M., & Subramanian, K.: 2008, ``Magnetic quenching of alpha and diffusivity tensors in helical turbulence,'' Astrophys. J. Lett. 687, L49-L52 (arXiv:0805.1287, ADS, PDF)

Tilgner, A., & Brandenburg, A.: 2008, ``A growing dynamo from a saturated Roberts flow dynamo,'' Monthly Notices Roy. Astron. Soc. 391, 1477-1481 (arXiv:0808.2141, ADS, PDF)

Hubbard, A., Del Sordo, F., Käpylä, P. J., & Brandenburg, A.: 2009, ``The effect with imposed and dynamo-generated magnetic fields,'' Monthly Notices Roy. Astron. Soc. 398, 1891-1899 (arXiv:0904.2773, ADS, PDF)

Rheinhardt, M., & Brandenburg, A.: 2010, ``Test-field method for mean-field coefficients with MHD background,'' Astron. Astrophys. (in press) (arXiv:1004.0689, PDF, HTML)

Memory effects in space and time

Brandenburg, A., Rädler, K.-H., & Schrinner, M.: 2008, ``Scale dependence of alpha effect and turbulent diffusivity,'' Astron. Astrophys. 482, 739-746 (arXiv:0801.1320, ADS, PDF)

Hubbard, A., & Brandenburg, A.: 2009, ``Memory effects in turbulent transport,'' Astrophys. J. 706, 712-726 (arXiv:0811.2561, ADS, PDF)

For non-locality in time (i.e. memory effects), but without test fields, see also: Brandenburg, A., Käpylä, P., & Mohammed, A.: 2004, ``Non-Fickian diffusion and tau-approximation from numerical turbulence,'' Phys. Fluids 16, 1020-1027 (astro-ph/0306521, ADS, PDF)

Helical and nonhelical turbulence, with and without shear

Brandenburg, A., Rädler, K.-H., Rheinhardt, M., & Käpylä, P. J.: 2008, ``Magnetic diffusivity tensor and dynamo effects in rotating and shearing turbulence,'' Astrophys. J. 676, 740-751 (arXiv:0710.4059, ADS, PDF)

Mitra, D., Käpylä, P. J., Tavakol, R., & Brandenburg, A.: 2009, ``Alpha effect and diffusivity in helical turbulence with shear,'' Astron. Astrophys. 495, 1-8 (arXiv:0806.1608, ADS, PDF)

Sur, S., Brandenburg, A., & Subramanian, K.: 2008, ``Kinematic alpha effect in isotropic turbulence simulations,'' Monthly Notices Roy. Astron. Soc. 385, L15-L19 (arXiv:0711.3789, ADS, PDF)

Galloway-Proctor flow

Rädler, K.-H., & Brandenburg, A.: 2009, ``Mean-field effects in the Galloway-Proctor flow,'' Monthly Notices Roy. Astron. Soc. 393, 113-125 (arXiv:0809.0851, ADS, PDF)

Passive scalar advection

Brandenburg, A., Svedin, A., & Vasil, G. M.: 2009, ``Turbulent diffusion with rotation or magnetic fields,'' Monthly Notices Roy. Astron. Soc. 395, 1599-1606 (arXiv:0901.2112, ADS, PDF)

Madarassy, E. J. M., & Brandenburg, A.: 2010, ``Passive scalar transport in shear-flow turbulence,'' Phys. Rev. E (submitted) (arXiv:0906.3314)

Related review material:

Brandenburg, A., & Subramanian, K.: 2005, ``Astrophysical magnetic fields and nonlinear dynamo theory,'' Phys. Rep. 417, 1-209 (astro-ph/0405052, ADS, PDF)

Brandenburg, A.: 2005, ``The case for a distributed solar dynamo shaped by near-surface shear,'' Astrophys. J. 625, 539-547 (astro-ph/0502275, ADS, PDF)

References and links:

Sur, S., Brandenburg, A., & Subramanian, K.: 2008, ``Kinematic alpha effect in isotropic turbulence simulations,'' Monthly Notices Roy. Astron. Soc. 385, L15-L19 (arXiv:0711.3789, ADS, PDF)

Brandenburg, A.: 2005, ``The case for a distributed solar dynamo shaped by near-surface shear,'' Astrophys. J. 625, 539-547 (astro-ph/0502275, ADS, PDF)

Vishniac, E. T., & Brandenburg, A.: 1997, ``An incoherent alpha-Omega dynamo in accretion disks,'' Astrophys. J. 475, 263-274 (astro-ph/9510038, ADS, PDF)

See also:

Mean-field dynamo in a homogeneous turbulence with shear and kinetic helicity fluctuations by N. Kleeorin, I. Rogachevskii, http://arxiv.org/abs/0711.4726

Generation of magnetic field by combined action of turbulence and shear, by T. A. Yousef, T. Heinemann, A. A. Schekochihin, N. Kleeorin, I. Rogachevskii, A. B. Iskakov, S. C. Cowley, J. C. McWilliams, http://arxiv.org/abs/0710.3359

On the effects of turbulence on a screw dynamo, by K.-H. Rädler and R. Stepanov, http://adsabs.harvard.edu/abs/2006GApFD.100..379R

Do mean-field dynamos in nonrotating turbulent shear-flows exist? by G. Rüdiger and L.L. Kitchatinov, http://adsabs.harvard.edu/abs/2006AN....327..298R

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