Finite-correlation-time effects in the kinematic dynamo problem

Physics of Plasmas

Volumn 8, Issue 11, 2001, Pages 4937-4953

  Schekochihin, Alexander A ^a,b   Kulsrud, Russell M ^a  

^a PRINCETON UNIVERSITY   (United States)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001382575     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1404383     Document Type: Article

References (44)

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42. 2〉 in this regime has been known for a long time (Refs. 1-4,10). Arbitrarily small magnetic diffusivity η gives a finite correction to the growth rates because it stops the spreading of magnetic fluctuations towards ever-smaller scales - the process that substantially contributes to the growth of the magnetic energy and the higher moments. Mathematically, this means that the limits t → ∞ and η → 0 cannot be interchanged, a common occurrence in the theory of turbulence.
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44. Formally speaking, this formula represents the (0,1)-term of the Padé series corresponding to the τ expansion. Whether the Padé summation method applied to the τ expansion results in a good convergent approximation of the finite-correlation-time effect is an issue that will not be investigated here.