Analysis of the linearized quantum hydrodynamic model
Keywords:
quantum plasma, pseudopotential, quantum hydrodynamics model, degenerate electrons, electron exchange and correlation effects, random phase approximation.Abstract
In this paperthe analytical analysis of the linearized quantum hydrodynamics modelby matching with random phase approximation for degenerate electrons is done.The equivalence of the twoapproacheson the treatmentof spatialcorrelationbetween electronsdemonstrated by dividing all effects on quantum fluctuations on short distance and long range collective effects. It is shown that linearized quantum hydrodynamic model takes into account electron exchange and correlation effects only by shifting Fermi level. Also, the advantages of the linearized quantum hydrodynamics model in comparison with random phase approximation areclearly illustrated.References
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coupled semiclassical plasma//Physics of Plasmas.
– 2002. – Vol.6.–P. 3758.
3. CrouseillesN. et.al., Quantum hydrodynamic
model for the nonlinear electron dynamics
in thin metal films//Phys.Rev.B. – 2008. – Vol.
78. – P. 155412.
4. ShuklaP.K.andEliassonB.Novel Attractive
Force Between Ions in Quantum Plasmas// Phys.
Rev. Lett. – 2012. – Vol. 109. – P. 019901.
5. BonitzM.,PehlkeE.,SchoofT.Comment on
“Novel Attractive Force between Ions in Quantum
Plasmas”// Phys. Rev. E. – 2013. – Vol 87. –
P. 033105.
6. Bonitz M., Pehlke E., Schoof T. Reply to
comment of Shukla et al. on ‘On “Novel attractive
forces” between ions in quantum plasmas – failure
of linearized quantum hydrodynamics // Phys.
Rev. E. –2013. – Vol.87. –P.037102 .
7. Deutsch C., Nersisyan H.B., and
ZwicknagelG. Equilibrium and transport in a
strongly coupled and magnetized ultra-cold plasma
// AIP Conf. Proc. – 2012. – Vol. 1421. – P. 3.
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BornathTh., KraeftW.D.First principle thermodynamic
and dynamic simulations for dense
quantum plasmas//Contrib. Plasma Phys. – 2005.
– Vol.45. – P. 450-458.
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How to Cite
Moldabekov, Z. A., & Ramazanov, T. S. (2013). Analysis of the linearized quantum hydrodynamic model. International Journal of Mathematics and Physics, 4(2), 72–74. Retrieved from https://ijmph.kaznu.kz/index.php/kaznu/article/view/81
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Theoretical Physics and Plasma Physics
