### Abstract

The stretching property of an underlying fluid is studied in a simplified statistical model of small-scale nonlinear dynamos, via the evolution of the mean square displacement. The nonlinear effect of small-scale magnetic fields is consistently incorporated in the limit of low kinetic Reynolds number. The mean square displacement between two neighboring particles, as well as that of a single particle, is shown to be reduced due to the Lorentz force associated with small-scale magnetic fields. This reduction is suggested to lead to the suppression of stretching of magnetic field lines, and subsequently to the saturation of the growth of small-scale magnetic fields.

Original language | English |
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Pages (from-to) | 1746-1751 |

Number of pages | 6 |

Journal | Physics of Plasmas |

Volume | 7 |

Issue number | 5 |

DOIs | |

Publication status | Published - 19 Apr 2000 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physics of Plasmas*,

*7*(5 ), 1746-1751. https://doi.org/10.1063/1.873994

**Mean square displacement in small-scale nonlinear dynamos.** / Kim, Eun Jin.

Research output: Contribution to journal › Article

*Physics of Plasmas*, vol. 7, no. 5 , pp. 1746-1751. https://doi.org/10.1063/1.873994

}

TY - JOUR

T1 - Mean square displacement in small-scale nonlinear dynamos

AU - Kim, Eun Jin

PY - 2000/4/19

Y1 - 2000/4/19

N2 - The stretching property of an underlying fluid is studied in a simplified statistical model of small-scale nonlinear dynamos, via the evolution of the mean square displacement. The nonlinear effect of small-scale magnetic fields is consistently incorporated in the limit of low kinetic Reynolds number. The mean square displacement between two neighboring particles, as well as that of a single particle, is shown to be reduced due to the Lorentz force associated with small-scale magnetic fields. This reduction is suggested to lead to the suppression of stretching of magnetic field lines, and subsequently to the saturation of the growth of small-scale magnetic fields.

AB - The stretching property of an underlying fluid is studied in a simplified statistical model of small-scale nonlinear dynamos, via the evolution of the mean square displacement. The nonlinear effect of small-scale magnetic fields is consistently incorporated in the limit of low kinetic Reynolds number. The mean square displacement between two neighboring particles, as well as that of a single particle, is shown to be reduced due to the Lorentz force associated with small-scale magnetic fields. This reduction is suggested to lead to the suppression of stretching of magnetic field lines, and subsequently to the saturation of the growth of small-scale magnetic fields.

UR - http://www.scopus.com/inward/record.url?scp=3042597988&partnerID=8YFLogxK

U2 - 10.1063/1.873994

DO - 10.1063/1.873994

M3 - Article

VL - 7

SP - 1746

EP - 1751

JO - Physics of Plasmas

JF - Physics of Plasmas

SN - 1070-664X

IS - 5

ER -