Self-consistent fluid model for a quantum electron gas
Giovanni Manfredi,Fernando Haas +1 more
TLDR
In this article, the Wigner-Poisson (or Hartree) system can be reduced to an effective Schroedinger Poisson (SGP) system, in which the SGP equation contains a new nonlinearity for a zero-temperature one-dimensional electron gas.Abstract:
It is shown that, for a large class of statistical mixtures, the Wigner-Poisson (or Hartree) system can be reduced to an effective Schroedinger-Poisson system, in which the Schroedinger equation contains a new nonlinearity. For the case of a zero-temperature one-dimensional electron gas, this additional nonlinearity is of the form vertical bar {Psi} vertical bar{sup 4}. In the long-wavelength limit, the results obtained from the effective Schroedinger-Poisson system are in agreement with those of the Wigner-Poisson system. The reduced model is further used to describe the stationary states of a quantum electron gas and the two-stream instability.read more
Citations
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Quantum ion-acoustic waves
TL;DR: In this article, the one-dimensional two-species quantum hydrodynamic model is considered in the limit of small mass ratio of the charge carriers, and the system is shown to support linear waves, which are described by a deformed Korteweg-de Vries equation.
Journal ArticleDOI
Nonlinear aspects of quantum plasma physics
Padma Kant Shukla,Bengt Eliasson +1 more
TL;DR: In this paper, the authors present theoretical backgrounds for some important nonlinear aspects of wave-wave and wave-electron interactions in dense quantum plasmas, focusing on nonlinear electrostatic electron and ion plasma waves, novel aspects of three-dimensional quantum electron fluid turbulence, as well as nonlinearly coupled intense electromagnetic waves and localized plasma wave structures.
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Colloquium : nonlinear collective interactions in quantum plasmas with degenerate electron fluids
Padma Kant Shukla,Bengt Eliasson +1 more
TL;DR: In this paper, the Schrodinger-Poisson equations are used to describe collective nonlinear phenomena at nanoscales in a quantum plasmas with degenerate electrons, such as the formation and dynamics of localized electrostatic (ES) and electromagnetic (EM) wave structures.
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A magnetohydrodynamic model for quantum plasmas
TL;DR: In this paper, the quantum hydrodynamic model for charged particle systems is extended to the cases of nonzero magnetic fields, and conditions for equilibrium in ideal quantum magnetohydrodynamics are established.
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Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions: I. Analytical results
TL;DR: In this paper, the authors used the virial theorem to infer the average mass of galaxies within the Coma cluster, which is a value much larger than the mass of luminous material.
References
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Book ChapterDOI
Statistical Mechanics of Charged Particles
TL;DR: In this paper, the behavior of an electrically neutral (on the average) system of charged and neutral particles interacting with each other and with an external magnetic field is considered, referred to as a plasma, a gas containing so many free charged particles that their collective Lorentz forces influence the properties of the medium considerably.