### Abstract

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= (α_{0}+β_{0}R·▽xR)/(1+R^{2}), where α_{0}, β_{0} are the standard kinematic dynamo parameters, and R is proportional to the mean magnetic field B_{0}, R=B_{0}/(4πρV^{2}/R_{m})^{1/2}, ρ is the fluid density, V is the characteristic turbulent velocity, and R_{m} is the magnetic Reynolds number. The derivation of this formula is illustrated using a simple model - the turbulent dynamo for an asymmetrical top.

Original language | English (US) |
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Pages (from-to) | 1941-1946 |

Number of pages | 6 |

Journal | Physics of Plasmas |

Volume | 2 |

Issue number | 6 |

State | Published - 1995 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Condensed Matter Physics

### Cite this

*Physics of Plasmas*,

*2*(6), 1941-1946.

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

Research output: Contribution to journal › Article

*Physics of Plasmas*, vol. 2, no. 6, pp. 1941-1946.

}

TY - JOUR

T1 - Self-consistent mean field electrodynamics of turbulent dynamos

AU - Gruzinov, A. V.

AU - Diamond, P. H.

PY - 1995

Y1 - 1995

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0000825865&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000825865&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0000825865

VL - 2

SP - 1941

EP - 1946

JO - Physics of Plasmas

JF - Physics of Plasmas

SN - 1070-664X

IS - 6

ER -