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Kinematic dynamo and intermittence in a turbulent flow

 

作者: P.H. Baxendale,   B.L. Rozovskii,  

 

期刊: Geophysical & Astrophysical Fluid Dynamics  （Taylor Available online 1993）
卷期: Volume 73, issue 1-4  

页码: 33-60

 

ISSN:0309-1929

 

年代: 1993

 

DOI:10.1080/03091929308203618

 

出版商: Taylor & Francis Group

 

关键词: Diffusion approximation;dynamo;induction equation;intermittence;Lagrangian flow;large deviations;moment Lyapunov exponents;stochastic partial differential equations

 

数据来源: Taylor

 

摘要:

The large time asymptotics of a magnetic field in a turbulent δ-correlated (in time) flow of an ideal incompressible fluid are studied. It is shown that the magnetic field exhibits the dynamo effect (exponential stretching) unless the Lagrangian flow generated by the velocity field is (almost surely) distance preserving; and it is intermittent unless the Lagrangian flow associated to the turbulent component of the velocity is (almost surely) distance preserving.

 

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