Fluctuations in quasi-two-dimensional fast dynamos

Fausto Cattaneo, Eun Jin Kim, Michael Proctor, Louis Tao

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

The ratio R1 between the average magnetic energy and the square-averaged flux plays an important role in the study of nonlinear dynamos, as a measure of the efficiency of a dynamo at generating flux. For large values of Rm, R1 displays a scaling behavior of the type R1∼Rm n, where Rm is the magnetic Reynolds number. We show by direct numerical evaluation that n depends sensitively on the flow complexity for small-scale dynamos. Furthermore, by relating n to the cancellation exponent and the correlation dimension of the magnetic field, we argue that n is not likely to be close to zero in general.

Original languageEnglish
Pages (from-to)1522-1525
Number of pages4
JournalPhysical Review Letters
Volume75
Issue number8
DOIs
Publication statusPublished - 21 Aug 1995
Externally publishedYes

Fingerprint

rotating generators
cancellation
Reynolds number
exponents
scaling
evaluation
magnetic fields
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Fluctuations in quasi-two-dimensional fast dynamos. / Cattaneo, Fausto; Kim, Eun Jin; Proctor, Michael; Tao, Louis.

In: Physical Review Letters, Vol. 75, No. 8, 21.08.1995, p. 1522-1525.

Research output: Contribution to journalArticle

Cattaneo, Fausto ; Kim, Eun Jin ; Proctor, Michael ; Tao, Louis. / Fluctuations in quasi-two-dimensional fast dynamos. In: Physical Review Letters. 1995 ; Vol. 75, No. 8. pp. 1522-1525.
@article{40e06346bde94c35bafab901da70861f,
title = "Fluctuations in quasi-two-dimensional fast dynamos",
abstract = "The ratio R1 between the average magnetic energy and the square-averaged flux plays an important role in the study of nonlinear dynamos, as a measure of the efficiency of a dynamo at generating flux. For large values of Rm, R1 displays a scaling behavior of the type R1∼Rm n, where Rm is the magnetic Reynolds number. We show by direct numerical evaluation that n depends sensitively on the flow complexity for small-scale dynamos. Furthermore, by relating n to the cancellation exponent and the correlation dimension of the magnetic field, we argue that n is not likely to be close to zero in general.",
author = "Fausto Cattaneo and Kim, {Eun Jin} and Michael Proctor and Louis Tao",
year = "1995",
month = "8",
day = "21",
doi = "10.1103/PhysRevLett.75.1522",
language = "English",
volume = "75",
pages = "1522--1525",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "8",

}

TY - JOUR

T1 - Fluctuations in quasi-two-dimensional fast dynamos

AU - Cattaneo, Fausto

AU - Kim, Eun Jin

AU - Proctor, Michael

AU - Tao, Louis

PY - 1995/8/21

Y1 - 1995/8/21

N2 - The ratio R1 between the average magnetic energy and the square-averaged flux plays an important role in the study of nonlinear dynamos, as a measure of the efficiency of a dynamo at generating flux. For large values of Rm, R1 displays a scaling behavior of the type R1∼Rm n, where Rm is the magnetic Reynolds number. We show by direct numerical evaluation that n depends sensitively on the flow complexity for small-scale dynamos. Furthermore, by relating n to the cancellation exponent and the correlation dimension of the magnetic field, we argue that n is not likely to be close to zero in general.

AB - The ratio R1 between the average magnetic energy and the square-averaged flux plays an important role in the study of nonlinear dynamos, as a measure of the efficiency of a dynamo at generating flux. For large values of Rm, R1 displays a scaling behavior of the type R1∼Rm n, where Rm is the magnetic Reynolds number. We show by direct numerical evaluation that n depends sensitively on the flow complexity for small-scale dynamos. Furthermore, by relating n to the cancellation exponent and the correlation dimension of the magnetic field, we argue that n is not likely to be close to zero in general.

UR - http://www.scopus.com/inward/record.url?scp=0001766987&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.75.1522

DO - 10.1103/PhysRevLett.75.1522

M3 - Article

VL - 75

SP - 1522

EP - 1525

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 8

ER -