Field-Induced Degeneracy Regimes in Quantum Plasmas

Physics of Plasmas (Impact Factor: 2.38). 01/2012; 19(3). DOI: 10.1063/1.3690090
Source: arXiv

ABSTRACT It is shown that in degenerate magnetized Fermi-Dirac plasma where the
electron-orbital are quantized distinct quantum hydrodynamic (QHD) limits exist
in which the nonlinear density waves behave differently. The Coulomb
interaction among degenerate electrons affect the electrostatic nonlinear wave
dynamics more significant in the ground-state Landau quantization or the
so-called quantum-limit ($l=0$) rather than in the classical-limit
($l=\infty$). It is also remarked that the effective electron quantum potential
unlike the number-density and degeneracy pressure is independent of the applied
magnetic field in the classical-limit plasma, while, it depends strongly on the
field strength in the quantum-limit. Current findings are equally important in
the study of wave dynamics in arbitrarily-high magnetized astrophysical and
laboratory dense plasmas.

  • Nature 01/1939; 144:130-131. · 38.60 Impact Factor
  • Source
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    ABSTRACT: Traditional plasma physics has mainly focused on regimes characterized by high temperatures and low densities, for which quantum-mechanical effects have virtually no impact. However, recent technological advances (particularly on miniaturized semiconductor devices and nanoscale objects) have made it possible to envisage practical applications of plasma physics where the quantum nature of the particles plays a crucial role. Here, I shall review different approaches to the modeling of quantum effects in electrostatic collisionless plasmas. The full kinetic model is provided by the Wigner equation, which is the quantum analog of the Vlasov equation. The Wigner formalism is particularly attractive, as it recasts quantum mechanics in the familiar classical phase space, although this comes at the cost of dealing with negative distribution functions. Equivalently, the Wigner model can be expressed in terms of $N$ one-particle Schr{\"o}dinger equations, coupled by Poisson's equation: this is the Hartree formalism, which is related to the `multi-stream' approach of classical plasma physics. In order to reduce the complexity of the above approaches, it is possible to develop a quantum fluid model by taking velocity-space moments of the Wigner equation. Finally, certain regimes at large excitation energies can be described by semiclassical kinetic models (Vlasov-Poisson), provided that the initial ground-state equilibrium is treated quantum-mechanically. The above models are validated and compared both in the linear and nonlinear regimes.
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    ABSTRACT: Recently, magnetic fields of 0.7({+-}0.1) gigaGauss (GG) have been observed in the laboratory in laser plasma interactions. From scaling arguments, it appears that a few gigaGauss magnetic fields may be within reach of existing petawatt lasers. In this paper, the equations of state (EOS) are calculated in the presence of these very large magnetic fields. The appropriate domain for electron degeneracy and for Landau quantization is calculated for the density-temperature domain relevant to laser plasma interactions. The conditions for a strong Landau quantization, for a magnetic field in the domain of 1-10 GG, are obtained. The role of this paper is to formulate the EOS in terms of those that can potentially be realized in laboratory plasmas. By doing so, it is intended to alert the experimental laser-plasma physics community to the potential of realizing Landau quantization in the laboratory for the first time since the theory was first formulated.
    Physics of Plasmas 05/2005; · 2.38 Impact Factor

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