SELF-CONSISTENT MEAN-FIELD ELECTRODYNAMICS OF TURBULENT DYNAMOS

被引:67
作者
GRUZINOV, AV [1 ]
DIAMOND, PH [1 ]
机构
[1] INST THEORET PHYS, SANTA BARBARA, CA USA
关键词
D O I
10.1063/1.871495
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
A turbulent dynamo in a conducting fluid is accompanied by the generation of small-scale magnetic fields, which are much stronger than the mean dynamo-generated magnetic field. These small-scale fields modify the α effect in such a way as to stabilize the dynamo process, α= (α0+β0R·▽xR)/(1+R2), where α0, β0 are the standard kinematic dynamo parameters, and R is proportional to the mean magnetic field B0, R=B0/(4πρV2/Rm)1/2, ρ is the fluid density, V is the characteristic turbulent velocity, and Rm is the magnetic Reynolds number. The derivation of this formula is illustrated using a simple model - the turbulent dynamo for an asymmetrical top. © 1995 American Institute of Physics.
引用
收藏
页码:1941 / 1946
页数:6
相关论文
共 13 条
[1]  
[Anonymous], 1978, MATH METHODS CLASSIC, DOI [DOI 10.1007/978-1-4757-1693-1, 10.1007/978-1-4757-1693-1]
[2]   SUPPRESSION OF TURBULENT TRANSPORT BY A WEAK MAGNETIC-FIELD [J].
CATTANEO, F ;
VAINSHTEIN, SI .
ASTROPHYSICAL JOURNAL, 1991, 376 (01) :L21-&
[3]  
Gruzinov A. V., 1990, Soviet Physics - JETP, V70, P263
[4]   SELF-CONSISTENT THEORY OF MEAN-FIELD ELECTRODYNAMICS [J].
GRUZINOV, AV ;
DIAMOND, PH .
PHYSICAL REVIEW LETTERS, 1994, 72 (11) :1651-1653
[5]  
Moffatt H. K., 1978, MAGNETIC FIELD GENER
[6]  
PARKER EN, 1979, COSMICAL MAGNETIC FI
[7]   STRONG MHD HELICAL TURBULENCE AND NONLINEAR DYNAMO EFFECT [J].
POUQUET, A ;
FRISCH, U ;
LEORAT, J .
JOURNAL OF FLUID MECHANICS, 1976, 77 (SEP24) :321-354
[8]  
Steenbeck M, 1966, Z NATURFORSCH PT A, VA 21, P369
[9]   DYNAMO ACTION BY INTERNAL WAVES IN ACCRETION DISKS [J].
VISHNIAC, ET ;
JIN, LP ;
DIAMOND, P .
ASTROPHYSICAL JOURNAL, 1990, 365 (02) :648-659
[10]   FINITE-MODE ANALOGS OF 2D IDEAL HYDRODYNAMICS - COADJOINT ORBITS AND LOCAL CANONICAL STRUCTURE [J].
ZEITLIN, V .
PHYSICA D, 1991, 49 (03) :353-362