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Biennial Report 2005-2007 - Saha Institute of Nuclear Physics

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188 <strong>Biennial</strong> <strong>Report</strong> <strong>2005</strong>-075.2.2.6 Two fluid stationary states with external driveA formalism is developed for flowing two fluid stationary states for an externally driven plasmawith dissipation. A coupled equation in flow and field is obtained as the governing equation for thesteady state plasma. In the presence <strong>of</strong> purely azimuthal flows. this coupled equation resembling amodified Grad-Shafranov equation is solved for the topology relevant to field reversed configuration.The external electric field required to attain the configuration is obtained self-consistently.Ramitendranath Bhattacharyya, Janaki Sita MylavarapuPP5.2.2.7 Effects <strong>of</strong> finite sized charge on downstream wake patternsA study <strong>of</strong> wake patterns for extended charged particles introduced into streaming dusty plasmasreveals that for supersonic flows, the potential is lateral in nature while for subsonic flows, themagnitude <strong>of</strong> transverse wake is greater than lateral wake. The effects <strong>of</strong> finite size also diminishthe magnitude <strong>of</strong> the wake potential.Anirban Bose, Janaki Sita MylavarapuPP5.2.2.8 Directional Landau damping <strong>of</strong> wake-field potentialsThe wake field potentials produced by charged particles moving in a plasma are investigated inthe presence <strong>of</strong> finite Landau damping effects. In the frame <strong>of</strong> reference moving with the particle,the phase velocities <strong>of</strong> the spectrum <strong>of</strong> waves excited by the moving charge depend on the angle <strong>of</strong>propagation <strong>of</strong> the wave vector giving rise to a directional wave-particle resonance condition. Asa consequence, the wake structure is seen to decay both along and transverse to the direction <strong>of</strong>motion <strong>of</strong> the charged particle.Anirban Bose, Janaki Sita MylavarapuPP5.2.2.9 Solar arcades as possible minimum dissipative relaxed statesThe observations <strong>of</strong> long life time, non uniform pressure variation, and finite plasma flows associatedwith solar arcade type magnetic fields cannot be explained from the conventional ideal MHDanalysis. The principle <strong>of</strong> minimum dissipation rate <strong>of</strong> energy is utilized in the framework <strong>of</strong>two fluid model to set up a non-force free relaxation model for understanding the nature <strong>of</strong> arcadetype solar magnetic fields. The Euler-Lagrange equations are solved using photospheric boundaryconditions. Multiple arcade structures supporting plasma flows have been obtained as solutions.Ramitendranath Bhattacharyya, Janaki Sita Mylavarapu, Brahmananda Dasgupta†, GP Zank† PP

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