Induced Maximum Magnetic Field in Cosmic Outflow System by a Relativistic Current Filamentation Instability: Exact Analytical Model

In this manuscript the dispersion relations of streaming instabilities, by using the unique property (neutralized in charge and current by default) of plasma shells colliding, have been generalized and studied. This interesting property for interpenetrating beams enables one to find the general dispersion relations without any restrictions used in the previous works in this area. In our previous work [H. Mehdian et al., ApJ. 801, 89 (2015)], employing the plasma shell concept and boost frame method, the general dispersion relation for filamentation instability has been derived in the relativistic classical regime. But in this paper, using the above mentioned concepts, the general dispersion relations (for each of streaming instabilities, filamentation, two-stream and multi-stream) in the non-relativistic quantum regime have been derived by employing the quantum fluid equations together with Maxwell equations. The derived dispersion relations enable to describe any arbitrary system of interacting two and three beams, justified neutralization condition, by choosing the inertial reference frame embedded on the one of the beams. Furthermore, by the numerical and analytical study of these dispersion relations, many new features of streaming instabilities (E.g. their cut-off wave numbers and growth rates) in terms of all involved parameters have been illustrated. The obtained results in this paper can be used to describe many astrophysical systems and laboratory astrophysics setting, such as collision of non-parallel plasma shells over a background plasma or the collision of three neutralized plasma slabs, and justifying the many plasma phenomena such as particle accelerations and induced fields.

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The general dispersion relation of induced streaming instabilities in quantum outflow systems

Mehdian

Hajisharifi

Hasanbeigi

2015

AIP Advances

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Magnetorotational instability of weakly ionized and magnetized electron-positron-ion plasma

et al. 2016

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The magnetorotational instability in a differential rotating weakly ionized and magnetized plasma consisting of electron, positron, ion, and neutral particles has been investigated by using the multi-fluid model. Satisfying the current neutrality and homogeneity of the system in the equilibrium state by assuming the same unperturbed angular velocity for charge species and neutrals, the general local dispersion relation (DR) has been derived by taking into account the collision effects. By analytical examination of the obtained DR in the arbitrary and high frequency regimes, the instability conditions have been found in which the presence of light positive species (positrons) plays an important role in the instability criteria. Moreover, numerical investigation shows the broadening of instability range as well as increasing the maximum growth rate of instability (especially for the small number density ratio of light to heavy positive species) in the presence of positrons. The obtained results of the present investigation will greatly contribute to the understanding of the particles' dynamics as well as dissipation mechanism in some astrophysical environments, such as the region of accretion disks surrounding the central of black holes and protoplanetary disks.

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Current filamentation instability of warm diluted electron beam in collisional weakly ionized plasma system

2017

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Fluid description is employed to investigate the collisional current-filamentation instability (CFI) in a weakly ionized warm-beam/return current system, taking into account both thermal pressure and space charge effects. Describing the equilibrium configuration and using the local approximation method, the dispersion relation (DR) is obtained in the presence of binary collision terms between charged and neutral particles. Analyzing the obtained DR for a warm-beam cold-plasma system shows increment of thermal effects, consisting of collision and thermal pressure, by electron beam temperature and plasma ionization degree decreases the unstable wavelength region as well as the maximum growth rate of CFI, called thermal-driven stabilization. On the other hand, increasing the beam current density is toward the destabilization (called current-driven destabilization) by broadening the unstable wavelength region and increasing the maximum growth rate of CFI. One can deduce that competition between thermal-driven stabilization and current-driven destabilization determines the stability degree of weakly ionized systems.

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Induced Maximum Magnetic Field in Cosmic Outflow System by a Relativistic Current Filamentation Instability: Exact Analytical Model

Cited by 5 publications

References 37 publications

The general dispersion relation of induced streaming instabilities in quantum outflow systems

The general dispersion relation of induced streaming instabilities in quantum outflow systems

Magnetorotational instability of weakly ionized and magnetized electron-positron-ion plasma

Current filamentation instability of warm diluted electron beam in collisional weakly ionized plasma system

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