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Low-dimensional relativistic degeneracy in quantum plasmas

Published online by Cambridge University Press:  22 November 2013

M. AKBARI-MOGHANJOUGHI  and
A. ESFANDYARI-KALEJAHI
M. AKBARI-MOGHANJOUGHI
Affiliation:
Department of Physics, Faculty of Sciences, Azarbaijan Shahid Madani University, Tabriz 51745-406, Iran ([email protected])
A. ESFANDYARI-KALEJAHI
Affiliation:
Department of Physics, Faculty of Sciences, Azarbaijan Shahid Madani University, Tabriz 51745-406, Iran ([email protected])
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Abstract

In this work we investigate the effect of relativistic degeneracy on different properties of low-dimensional quantum plasmas. Using the dielectric response from the conventional quantum hydrodynamic model, including the quantum diffraction effect (Bohm potential) on free electrons, we explore the existence of the Shukla–Eliasson attractive screening and possibility of the ion structure formation in low-dimensional, completely degenerate electron–ion plasmas. A generalized degeneracy pressure expression for arbitrary relativity parameter in two-dimensional case is derived, indicating that change in the polytropic index (change in the equation of state) for the two-dimensional quantum fluid takes place at the electron number-density of n0 ≃ 1.1 × 1020cm−2 whereas this is known to occur for the three-dimensional case in the electron density of n0 ≃ 5.9 × 1029cm−3. Also, a generalized dielectric function valid for all dimensionalities and densities of a degenerate electron gas is calculated, and distinct properties of electron–ion plasmas, such as static screening, structure factor and Thomson scattering, are investigated in terms of plasma dimensionality.

Type
Papers
Information
Journal of Plasma Physics , Volume 79 , Special Issue 6: Special issue in memory of Professor Padma Kant Shukla 1950-2013 , December 2013 , pp. 1081 - 1087
Copyright
Copyright © Cambridge University Press 2013 

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