### Abstract

Mean-field electrodynamics, including both α and β effects while accounting for the effects of small-scale magnetic fields, is derived for incompressible magnetohydrodynamics. The principal result is α=(α0+β0R×R)/(1+R2), β=β0; where α0,β0 are conventional kinematic dynamo parameters, the reduction factor is proportional to the mean magnetic field R=Rm1/2B/(ρV2)1/2, Rm is the magnetic Reynolds number, and V is the characteristic turbulent velocity. This result follows from a generalization of the Zeldovich theorem to three dimensions, exploiting magnetic helicity balance.

Original language | English (US) |
---|---|

Pages (from-to) | 1651-1653 |

Number of pages | 3 |

Journal | Physical Review Letters |

Volume | 72 |

Issue number | 11 |

DOIs | |

State | Published - 1994 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physical Review Letters*,

*72*(11), 1651-1653. https://doi.org/10.1103/PhysRevLett.72.1651

**Self-consistent theory of mean-field electrodynamics.** / Gruzinov, A. V.; Diamond, P. H.

Research output: Contribution to journal › Article

*Physical Review Letters*, vol. 72, no. 11, pp. 1651-1653. https://doi.org/10.1103/PhysRevLett.72.1651

}

TY - JOUR

T1 - Self-consistent theory of mean-field electrodynamics

AU - Gruzinov, A. V.

AU - Diamond, P. H.

PY - 1994

Y1 - 1994

N2 - Mean-field electrodynamics, including both α and β effects while accounting for the effects of small-scale magnetic fields, is derived for incompressible magnetohydrodynamics. The principal result is α=(α0+β0R×R)/(1+R2), β=β0; where α0,β0 are conventional kinematic dynamo parameters, the reduction factor is proportional to the mean magnetic field R=Rm1/2B/(ρV2)1/2, Rm is the magnetic Reynolds number, and V is the characteristic turbulent velocity. This result follows from a generalization of the Zeldovich theorem to three dimensions, exploiting magnetic helicity balance.

AB - Mean-field electrodynamics, including both α and β effects while accounting for the effects of small-scale magnetic fields, is derived for incompressible magnetohydrodynamics. The principal result is α=(α0+β0R×R)/(1+R2), β=β0; where α0,β0 are conventional kinematic dynamo parameters, the reduction factor is proportional to the mean magnetic field R=Rm1/2B/(ρV2)1/2, Rm is the magnetic Reynolds number, and V is the characteristic turbulent velocity. This result follows from a generalization of the Zeldovich theorem to three dimensions, exploiting magnetic helicity balance.

UR - http://www.scopus.com/inward/record.url?scp=0000169630&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000169630&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.72.1651

DO - 10.1103/PhysRevLett.72.1651

M3 - Article

AN - SCOPUS:0000169630

VL - 72

SP - 1651

EP - 1653

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 11

ER -