Planar and nonplanar ion acoustic shock waves in relativistic degenerate astrophysical electron-positron-ion plasmas

Journal Article · Mon Apr 15 00:00:00 EDT 2013 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4802934· OSTI ID:22130438

Ata-ur-Rahman,; Qamar, A. ^[1]; Ali, S. ^[2]; Mirza, Arshad M. ^[3]

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1. Institute of Physics and Electronics, University of Peshawar, Peshawar 25000 (Pakistan)
2. National Centre for Physics, QAU Campus, Shahdrah Valley Road, Islamabad 44000 (Pakistan)
3. Theoretical Plasma Physics Group, Physics Department, Quaid-i-Azam University, Islamabad 45320 (Pakistan)

We have studied the propagation of ion acoustic shock waves involving planar and non-planar geometries in an unmagnetized plasma, whose constituents are non-degenerate ultra-cold ions, relativistically degenerate electrons, and positrons. By using the reductive perturbation technique, Korteweg-deVries Burger and modified Korteweg-deVries Burger equations are derived. It is shown that only compressive shock waves can propagate in such a plasma system. The effects of geometry, the ion kinematic viscosity, and the positron concentration are examined on the ion acoustic shock potential and electric field profiles. It is found that the properties of ion acoustic shock waves in a non-planar geometry significantly differ from those in planar geometry. The present study has relevance to the dense plasmas, produced in laboratory (e.g., super-intense laser-dense matter experiments) and in dense astrophysical objects.

• OSTI ID: 22130438
• Journal Information: Physics of Plasmas, Vol. 20, Issue 4; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ASTROPHYSICS
ELECTRIC FIELDS
ELECTRONS
GEOMETRY
ION ACOUSTIC WAVES
IONS
KORTEWEG-DE VRIES EQUATION
NONLINEAR PROBLEMS
PERTURBATION THEORY
PLASMA DENSITY
POSITRONS
RELATIVISTIC PLASMA
RELATIVISTIC RANGE
SHOCK WAVES