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 language | English (US) |
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Article number | 054502 |
Pages (from-to) | 545021-545024 |
Number of pages | 4 |
Journal | Physical review letters |
Volume | 92 |
Issue number | 5 |
State | Published - Feb 6 2004 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy