Lavrentyev Readings on Mathematics, Mechanics and Physics

Novosibirsk, Russia. May 27–31, 2005

Abstracts


Mechanics

Structure of shock waves generated by dense plasma

Dudnikova G.I., Vshivkov V.A., Vshivkov K.V.

1.Institute of computational technologies SB RAS,
Novosibirsk

2.Institute of computational mathematics and mathematical geophysics SB RAS,
Novosibirsk

3.Institute of laser physics SB RAS,
Novosibirsk

The dense plasma clouds expansion processes in a magnetized background are accompanied by generation of various perturbation types, including shock waves. As against processes of explosive character in the usual environments, the similar phenomena in plasma carry collisionless character in relation to pair impacts. The structure of generated waves is determined by collective processes of particles interaction in the self-consistent electromagnetic fields. At the same time dispersive properties of plasma play the essential role, these properties can define the front size of shock wave.

In the submitted paper the characteristics of complex structure cloud scattering processes and an interaction of two clouds in the magnetized hydrogen plasma are investigated depending on number of Max-Alfven. On the basis of the kinetic-hydrodynamic model which is taking into account the final size of ions larmor radius, numerical simulation of energy exchange processes (cloud-background) is performed. The mathematical model of the collisionless expansion of dense plasma cloud into the plasma background in the presence of magnetic field is based on hybrid model, which consists of the Vlasov kinetic equation for plasma ions and hydrodynamical equations for electrons. Self-consistent electromagnetic fields are governed by the Maxwell equations. For the decision of Vlasov's equation the method of particles-in-cells (PIC) is used. The structure of formed indignations is investigated. Simulation is carried out for 2D and 3D geometries and permits to investigate the processes for several times of cloud deceleration. It is shown, that the interaction of complex structure clouds consisting of hydrogen and carbon ions, is accompanied by separation of its ions. Thus the front width of generated shock wave is determined by larmor ion radius. At interaction of two clouds which centers are located on distance of deceleration radius, there is an amplification of the shock wave extending across a magnetic field.

This work was partly supported by the Russian Foundation for Basic Research (Grant 04-01-00850).

Note. Abstracts are published in author's edition



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