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Kazantsev dynamo in turbulent compressible flows
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
Number of Authors: 32019 (English)In: Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, E-ISSN 1471-2946, Vol. 475, no 2223, article id 20180591Article in journal (Refereed) Published
Abstract [en]

We consider the kinematic fluctuation dynamo problem in a flow that is random, white-in-time, with both solenoidal and potential components. This model is a generalization of the well-studied Kazantsev model. If both the solenoidal and potential parts have the same scaling exponent, then, as the compressibility of the flow increases, the growth rate decreases but remains positive. If the scaling exponents for the solenoidal and potential parts differ, in particular if they correspond to typical Kolmogorov and Burgers values, we again find that an increase in compressibility slows down the growth rate but does not turn it off. The slow down is, however, weaker and the critical magnetic Reynolds number is lower than when both the solenoidal and potential components display the Kolmogorov scaling. Intriguingly, we find that there exist cases, when the potential part is smoother than the solenoidal part, for which an increase in compressibility increases the growth rate. We also find that the critical value of the scaling exponent above which a dynamo is seen is unity irrespective of the compressibility. Finally, we realize that the dimension d = 3 is special, as for all other values of d the critical exponent is higher and depends on the compressibility.

Place, publisher, year, edition, pages
2019. Vol. 475, no 2223, article id 20180591
Keywords [en]
dynamo theory, compressible turbulence, Kazantsev model
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-169303DOI: 10.1098/rspa.2018.0591ISI: 000465427200010PubMedID: 31007546OAI: oai:DiVA.org:su-169303DiVA, id: diva2:1319410
Available from: 2019-05-31 Created: 2019-05-31 Last updated: 2019-05-31Bibliographically approved

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Mitra, Dhrubaditya
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