Shear dynamo problem: Quasilinear kinematic theory
نویسندگان
چکیده
منابع مشابه
Shear dynamo problem: Quasilinear kinematic theory.
Large-scale dynamo action due to turbulence in the presence of a linear shear flow is studied. Our treatment is quasilinear and kinematic but is nonperturbative in the shear strength. We derive the integrodifferential equation for the evolution of the mean magnetic field by systematic use of the shearing coordinate transformation and the Galilean invariance of the linear shear flow. For nonheli...
متن کاملNonperturbative quasilinear approach to the shear dynamo problem.
We study large-scale dynamo action due to turbulence in the presence of a linear shear flow. Our treatment is quasilinear and equivalent to the standard "first-order smoothing approximation." However it is non perturbative in the shear strength. We first derive an integrodifferential equation for the evolution of the mean magnetic field, by systematic use of the shearing coordinate transformati...
متن کاملLarge Kinematic Dynamo and Intermittence
The large time asymptotics of a magnetic eld in a turbulent-correlated (in time) ow of an ideal incompressible uid are studied. It is shown that the magnetic eld exhibits the dynamo eeect (exponential stretching) unless the Lagrangian ow generated by the velocity eld is (almost surely) distance preserving; and it is intermittent unless the Lagrangian ow associated to the turbulent component of ...
متن کاملIntegral Equations for Kinematic Dynamo Models
2 S u m m a r y : A new technique for the treatment of the kinematic dynamo problem is presented. The method is applicable when the dynamo is surrounded by a medium of nite conductivity and is based on a reformulation of the induction equation and boundary conditions at innnity into an integral equation. We show that the integral operator ^ I involved here is compact in the case of homogeneous ...
متن کاملNumerical simulations of kinematic dynamo action
Numerical simulations of kinematic dynamo action in steady and three-dimensional ABC flows are presented with special focus on the difference in growth rates between cases with single and multiple periods of the prescribed velocity field. It is found that the difference in growth rate (apart from a trivial factor stemming from a scaling of the rate of strain with the wavenumber of the velocity ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2009
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.79.045305