Kinetic helicity, magnetic helicity and fast dynamo action

David W. Hughes; Fausto Cattaneo; Eun Jin Kim

doi:10.1016/S0375-9601(96)00722-0

Kinetic helicity, magnetic helicity and fast dynamo action

David W. Hughes, Fausto Cattaneo, Eun Jin Kim

Research output: Contribution to journal › Article › peer-review

32 Citations (Scopus)

Abstract

The influence of the flow helicity on kinematic fast dynamo action is considered. Three different flows are studied, possessing identical chaotic properties but very different distributions of helicity (maximal helicity, zero net helicity and zero helicity density). All three flows provide strong evidence of fast dynamo action, indicating that helicity is not a crucial feature of fast dynamo flows. Comparisons are made between the magnetic fields generated by the three flows and it is established how certain key quantities scale with the magnetic Reynolds number. In particular, it is shown that the relative magnetic helicity tends to zero as the magnetic Reynolds number tends to infinity.

Original language	English
Pages (from-to)	167-172
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	223
Issue number	3
DOIs	https://doi.org/10.1016/S0375-9601(96)00722-0
Publication status	Published - 2 Dec 1996
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1016/S0375-9601(96)00722-0

Cite this

@article{5240788a77e84c9da8fceedcd75ae031,

title = "Kinetic helicity, magnetic helicity and fast dynamo action",

abstract = "The influence of the flow helicity on kinematic fast dynamo action is considered. Three different flows are studied, possessing identical chaotic properties but very different distributions of helicity (maximal helicity, zero net helicity and zero helicity density). All three flows provide strong evidence of fast dynamo action, indicating that helicity is not a crucial feature of fast dynamo flows. Comparisons are made between the magnetic fields generated by the three flows and it is established how certain key quantities scale with the magnetic Reynolds number. In particular, it is shown that the relative magnetic helicity tends to zero as the magnetic Reynolds number tends to infinity.",

author = "Hughes, {David W.} and Fausto Cattaneo and Kim, {Eun Jin}",

year = "1996",

month = dec,

day = "2",

doi = "10.1016/S0375-9601(96)00722-0",

language = "English",

volume = "223",

pages = "167--172",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier",

number = "3",

}

TY - JOUR

T1 - Kinetic helicity, magnetic helicity and fast dynamo action

AU - Hughes, David W.

AU - Cattaneo, Fausto

AU - Kim, Eun Jin

PY - 1996/12/2

Y1 - 1996/12/2

N2 - The influence of the flow helicity on kinematic fast dynamo action is considered. Three different flows are studied, possessing identical chaotic properties but very different distributions of helicity (maximal helicity, zero net helicity and zero helicity density). All three flows provide strong evidence of fast dynamo action, indicating that helicity is not a crucial feature of fast dynamo flows. Comparisons are made between the magnetic fields generated by the three flows and it is established how certain key quantities scale with the magnetic Reynolds number. In particular, it is shown that the relative magnetic helicity tends to zero as the magnetic Reynolds number tends to infinity.

AB - The influence of the flow helicity on kinematic fast dynamo action is considered. Three different flows are studied, possessing identical chaotic properties but very different distributions of helicity (maximal helicity, zero net helicity and zero helicity density). All three flows provide strong evidence of fast dynamo action, indicating that helicity is not a crucial feature of fast dynamo flows. Comparisons are made between the magnetic fields generated by the three flows and it is established how certain key quantities scale with the magnetic Reynolds number. In particular, it is shown that the relative magnetic helicity tends to zero as the magnetic Reynolds number tends to infinity.

UR - http://www.scopus.com/inward/record.url?scp=0010467806&partnerID=8YFLogxK

U2 - 10.1016/S0375-9601(96)00722-0

DO - 10.1016/S0375-9601(96)00722-0

M3 - Article

AN - SCOPUS:0010467806

SN - 0375-9601

VL - 223

SP - 167

EP - 172

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 3

ER -

Kinetic helicity, magnetic helicity and fast dynamo action

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this