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)|
|Number of pages||4|
|Journal||Physical review letters|
|State||Published - Feb 6 2004|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)