Critical Magnetic Prandtl Number for Small-Scale Dynamo

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

Critical Magnetic Prandtl Number for Small-Scale Dynamo

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

Research output: Contribution to journal › Article › peer-review

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 Rm_c 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 Pr_m,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)
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

Cite this

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title = "Critical Magnetic Prandtl Number for Small-Scale Dynamo",

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.",

author = "Schekochihin, \{Alexander A.\} and Cowley, \{Steven C.\} and Maron, \{Jason L.\} and McWilliams, \{James C.\}",

year = "2004",

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language = "English (US)",

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pages = "545021--545024",

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T1 - Critical Magnetic Prandtl Number for Small-Scale Dynamo

AU - Schekochihin, Alexander A.

AU - Cowley, Steven C.

AU - Maron, Jason L.

AU - McWilliams, James C.

PY - 2004/2/6

Y1 - 2004/2/6

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/1642294293

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M3 - Article

AN - SCOPUS:1642294293

SN - 0031-9007

VL - 92

SP - 545021

EP - 545024

JO - Physical review letters

JF - Physical review letters

IS - 5

M1 - 054502

ER -

Critical Magnetic Prandtl Number for Small-Scale Dynamo

Abstract

All Science Journal Classification (ASJC) codes

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