Abstract
The role of kinetic helicity in small-scale fast dynamo action is investigated by employing a simple statistical model for the underlying flow with statistics that are Gaussian distributed, temporally delta-correlated and spatially homogeneous and isotropic. In order to focus on small-scale dynamo action we restrict our attention to flows possessing no net kinetic helicity. With the help of a diagrammatic technique and a numerical calculation we show that the dynamo growth rate is independent of the kinetic helicity as the magnetic Reynolds number Rm → ∞. It is indicated that the latter enhances the growth of the magnetic energy only for finite Rm.
| Original language | English |
|---|---|
| Pages (from-to) | 211-218 |
| Number of pages | 8 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 236 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 8 Dec 1997 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Flow helicity in a simplified statistical model of a fast dynamo. / Kim, Eun Jin; Hughes, David W.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 236, No. 3, 08.12.1997, p. 211-218.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Flow helicity in a simplified statistical model of a fast dynamo
AU - Kim, Eun Jin
AU - Hughes, David W.
PY - 1997/12/8
Y1 - 1997/12/8
N2 - The role of kinetic helicity in small-scale fast dynamo action is investigated by employing a simple statistical model for the underlying flow with statistics that are Gaussian distributed, temporally delta-correlated and spatially homogeneous and isotropic. In order to focus on small-scale dynamo action we restrict our attention to flows possessing no net kinetic helicity. With the help of a diagrammatic technique and a numerical calculation we show that the dynamo growth rate is independent of the kinetic helicity as the magnetic Reynolds number Rm → ∞. It is indicated that the latter enhances the growth of the magnetic energy only for finite Rm.
AB - The role of kinetic helicity in small-scale fast dynamo action is investigated by employing a simple statistical model for the underlying flow with statistics that are Gaussian distributed, temporally delta-correlated and spatially homogeneous and isotropic. In order to focus on small-scale dynamo action we restrict our attention to flows possessing no net kinetic helicity. With the help of a diagrammatic technique and a numerical calculation we show that the dynamo growth rate is independent of the kinetic helicity as the magnetic Reynolds number Rm → ∞. It is indicated that the latter enhances the growth of the magnetic energy only for finite Rm.
UR - http://www.scopus.com/inward/record.url?scp=0343521059&partnerID=8YFLogxK
U2 - 10.1016/S0375-9601(97)00746-9
DO - 10.1016/S0375-9601(97)00746-9
M3 - Article
VL - 236
SP - 211
EP - 218
JO - Physics Letters A
JF - Physics Letters A
SN - 0375-9601
IS - 3
ER -