Nonlinear theory of ionic sound waves in a hot quantum-degenerate electron-positron-ion plasma

Journal Article · Mon Nov 15 00:00:00 EST 2010 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776110110178· OSTI ID:21448964

Dubinov, A. E., E-mail: [e-mail]; Sazonkin, M. A., E-mail: figma@mail.r ^[1]

---

1. Sarov State Physicotechnical Institute (Russian Federation)

A collisionless nonmagnetized e-p-i plasma consisting of quantum-degenerate gases of ions, electrons, and positrons at nonzero temperatures is considered. The dispersion equation for isothermal ionic sound waves is derived and analyzed, and an exact expression is obtained for the linear velocity of ionic sound. Analysis of the dispersion equation has made it possible to determine the ranges of parameters in which nonlinear solutions in the form of solitons should be sought. A nonlinear theory of isothermal ionic sound waves is developed and used for obtaining and analyzing the exact solution to the system of initial equations. Analysis has been carried out by the method of the Bernoulli pseudopotential. The ranges of phase velocities of periodic ionic sound waves and soliton velocities are determined. It is shown that in the plasma under investigation, these ranges do not overlap and that the soliton velocity cannot be lower than the linear velocity of ionic sound. The profiles of physical quantities in a periodic wave and in a soliton are constructed, as well as the dependences of the velocity of sound and the critical velocity on the ionic concentration in the plasma. It is shown that these velocities increase with the ion concentration.

• OSTI ID: 21448964
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 111, Issue 5; Other Information: DOI: 10.1134/S1063776110110178; Copyright (c) 2010 Pleiades Publishing, Ltd.; ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
COLLISIONLESS PLASMA
CRITICAL VELOCITY
ELECTRONS
EXACT SOLUTIONS
GASES
ION ACOUSTIC WAVES
IONS
NONLINEAR PROBLEMS
PERIODICITY
PHASE VELOCITY
POSITRONS
POTENTIALS
SOLITONS
SOUND WAVES
ANTILEPTONS
ANTIMATTER
ANTIPARTICLES
CHARGED PARTICLES
ELEMENTARY PARTICLES
FERMIONS
FLUIDS
ION WAVES
LEPTONS
MATHEMATICAL SOLUTIONS
MATTER
PLASMA
PLASMA WAVES
QUASI PARTICLES
VARIATIONS
VELOCITY