Mean Field Magnetohydrodynamic Dynamo in Partially Ionized Plasma: Nonlinear, Numerical Results

  • K. A. P. Singh
Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 41)


A magnetohydrodynamic dynamo operating in partially ionized surface and atmospheric layers of stars can produce variety of magnetic field structures. In partially ionized plasma such as in the solar photosphere and the solar chromosphere, the magnetic induction equation is subjected to the Hall drift and the ambipolar diffusion (arising due to ion-neutral collisions) along with the Ohmic dissipation. It has been found out that in the presence of a shear flow, the Hall and the ambipolar diffusion, magnetic field components can grow rapidly to form the horizontal structures with small spatial scales. The effects of nonlinear dynamo, along with a shearing flow, Hall drift, ambipolar diffusion and the density gradient can play an important role in the evolution of magnetic field in the partially ionized surface layers of cool stars.


Numerical Magnetohydrodynamics (MHD) Solar Magnetic Fields MHD Dynamo 



The author gratefully acknowledges Joint ICTP-IAEA College on Advance Plasma Physics, 2014 and the financial support from International Centre for Theoretical Physics (ICTP), Trieste, Italy for providing an important platform for useful discussions on MHD Dynamo with Prof. Swadesh Mahajan. The author would also like to thank S.M. Chitre, Vinod Krishan and R.T. Gangadhara for useful discussions and support.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • K. A. P. Singh
    • 1
  1. 1.Department of PhysicsInstitute of Science, Banaras Hindu UniversityVaranasiIndia

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