Critical Magnetic Prandtl Number for Small-Scale Dynamo

Alexander A. Schekochihin, Steven C. Cowley, Jason L. Maron, James C. McWilliams

Research output: Contribution to journalArticle

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Abstract

The existence of small-scale dynamo in homogeneous incompressible turbulence with magnetic Prandtl number is discussed. A series of numerical simulations showing that the critical magnetic Reynolds number Rmc for the nonhelical small-scale dynamo depends on the Reynolds number Re is discussed. The dynamo is shut down if the magnetic Prandtl number Pr m = Rm/Re is less than some critical value Prm,c≲1. It is found that the existence of the dynamo depends on the exact inertial-range scaling of the velocity field and/or only manifests itself at very large Rm.

Original languageEnglish (US)
Article number054502
Pages (from-to)545021-545024
Number of pages4
JournalPhysical review letters
Volume92
Issue number5
StatePublished - Feb 6 2004
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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  • Cite this

    Schekochihin, A. A., Cowley, S. C., Maron, J. L., & McWilliams, J. C. (2004). Critical Magnetic Prandtl Number for Small-Scale Dynamo. Physical review letters, 92(5), 545021-545024. [054502].