The Kraichnan-Kazantsev dynamo

Journal of Statistical Physics

Volumn 106, Issue 5-6, 2002, Pages 1073-1091

  Vincenzi, D ^a,b  

^a UNIVERSITÉ CÔTE D'AZUR   (France)

^b UNIVERSITY OF GENOA   (Italy)

Author keywords

Dynamo effect; Kraichnan statistical ensemble; Magnetohydrodynamics; Turbulent transport

Indexed keywords

EID: 0036103968     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1014089820881     Document Type: Article

References (17)

1. H. K. Moffatt, Magnetic Field Generation in Electrically Conducting Fluids (Cambridge University Press, Cambridge, 1978).
2. E. N. Parker, Cosmical Magnetic Fields (Clarendon Press, Oxford, 1979).
3. R. H. Kraichnan, Small-scale structure of a scalar field convected by turbulence, Phys. Fluids 11:945-953 (1968).
4. A. P. Kazantsev, Enhancement of a magnetic field by a conducting fluid, Sov. Phys. JETP 26:1031-1034 (1968).
5. F. Krause and K.-H. Rädler, Mean-field Magnetohydrodynamics and Dynamo Theory (Pergamon Press, Frankfurt, 1980).
6. S. Boldyrev, A Solvable Model for Nonlinear Mean Field Dynamo, astro-ph/0105354 (2001).
7. A. A. Ruzmaǐkin and D. D. Sokolov, The magnetic field in mirror-invariant turbulence, Sov. Astron. Lett. 7:388-390 (1981).
8. V. G. Novikov, A. A. Ruzmaǐkin, and D. D. Sokolov, Kinematic dynamo in a reflection-invariant random field, Sov. Phys. JETP 58:527-532 (1983).
9. A. Gruzinov, S. Cowley, and R. Sudan, Small-scale-field dynamo, Phys. Rev. Lett. 77:4342-4344 (1996).
10. M. Chertkov, G. Falkovich, I. Kolokolov, and M. Vergassola, Small-scale turbulent dynamo, Phys. Rev. Lett. 83:4065-4068 (1999).
11. A. A. Schekochihin, S. A. Boldyrev, and R. M. Kulsrud, Spectra and Growth Rates of Fluctuating Magnetic Fields in the Kinematic Dynamo Theory with Large Magnetic Prandtl Numbers, astro-ph/0103333 (2001);
12. submitted to Astrophys. J. (2001).
13. M. Vergassola, Anomalous scaling for passively advected magnetic fields, Phys. Rev. E 53:R3021-R3024 (1996).
14. N. V. Antonov, A. Lanotte, and A. Mazzino, Persistence of small-scale anisotropies and anomalous scaling in a model of magnetohydrodynamics turbulence, Phys. Rev. E 61:6586-6605 (2000).
15. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics, Vol. 2, J. Lumley, ed. (MIT Press, Cambridge, MA, 1975).
16. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill Book Company, Inc., United States of America, 1953).
17. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic Press, New York, 1965).