Abstract
We compare the essential physical parameters of classical and quantum plasmas. The screening properties in degenerate and nondegenerate plasmas are discussed, in terms of Thomas–Fermi and Debye lengths, respectively. The coupling parameters associated with particle correlations are considered for classical and quantum plasmas. For classical plasmas, the average kinetic energy per particle is of the order of the thermal energy, while for dense systems it is of the order of the Fermi energy. A general approach toward fluid models deduced from kinetic descriptions of charged particle systems is proposed. This chapter is finished with brief historical notes on quantum plasma physics.
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Asenjo, F. A., Munoz, V., Valdivia, J. A. and Mahajan, S. M.: A hydrodynamical model for relativistic spin quantum plasmas. Phys. Plasmas 18, 012107–012118 (2011)
Balescu, R.: Irreversible processes in ionized gases Phys. Fluids 3, 52–63 (1960)
Belan, P. M.: Fundamentals of Plasma Physics. Cambridge, New York (2006)
Bhatnagar, P. L., Gross, E. P. and Krook, M.: A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems. Phys. Rev. 94, 511–525 (1954)
Bonitz, M., Semkat, D., Filinov, A., Golubnychyi, V., Kremp, D., Gericke, D. O., Murillo, M. S., Filinov, V., Fortov, V., Hoyer, W. and Koch, S. W.: Theory and simulation of strong correlations in quantum Coulomb systems. J. Phys. A: Math. Gen. 36, 5921–5930 (2003)
Brodin, G. and Marklund, M.: Spin magnetohydrodynamics. New J. Phys. 9, 277–288 (2007)
Brodin, G. and Marklund, M.: Spin solitons in magnetized pair plasmas. Phys. Plasmas 14, 1121071–1121075 (2007)
Brodin, G., Misra, A. P. and Marklund, M.: Spin contribution to the ponderomotive force in a plasma. Phys. Rev. Lett. 105, 105004–105008 (2010)
Di Ventra, M.: Electrical Transport in Nanoscale Systems. Cambridge, New York (2008)
Dubois, D. F.: Electron interactions I - field theory of a degenerate electron gas. Ann. Phys. 7, 174–237 (1959)
Eliasson, B. and Shukla, P. K.: Numerical and theoretical study of Bernstein modes in a magnetized quantum plasma. Phys. Plasmas 15, 1021011–1021025 (2008)
Fitzpatrick, R.: The Physics of Plasmas. Lulu Inc., Raleigh (2011)
Fokker, A. D.: Die mittlere energie rotierender elektrischer dipole im strahlungsfeld, Ann. Phys. 348, 810–820 (1914)
Frensley, W. R.: Boundary conditions for open systems driven far from equilibrium. Rev. Mod. Phys. 62, 745–791 (1990)
Gellmann, M. and Brueckner, K. A.: Correlation energy of an electron gas at high density. Phys. Rev. 106, 364–368 (1957)
Haas, F., Manfredi, G., Feix, M.: Multistream model for quantum plasmas. Phys. Rev. E 62, 2763–2772 (2000)
Haas, F.: A magnetohydrodynamic model for quantum plasmas. Phys. Plasmas 12, 062117–062126 (2005)
Jüngel, A.: Transport Equations for Semiconductor Devices. Springer, Berlin-Heidelberg (2009)
Klimontovich, Y. and Silin, V. P.: The spectra of systems of interacting particles. In: Drummond, J. E. (ed.) Plasma Physics, pp. 35–87, McGraw-Hill, New York (1961)
Lenard, A.: On Bogoliubov’s kinetic equation for a spatially homogeneous plasma. Ann. Phys. 10, 390–400 (1960)
Lindhard, J.: On the properties of a gas of charged particles. Dan. Vidensk. Selsk., Mat. Fys. Medd. 28, 1–57 (1954)
Manfredi, G.: How to model quantum plasmas. Fields Inst. Commun. 46, 263–287 (2005)
Manfredi, G., Haas, F.: Self-consistent fluid model for a quantum electron gas. Phys. Rev. B 64, 075316–075323 (2001)
Marklund, M. and Brodin, G.: Dynamics of spin 1 ∕ 2 quantum plasmas. Phys. Rev. Lett. 98, 025001–025005 (2007)
Marklund, M. and Lundin, J.: Quantum vacuum experiments using high intensity lasers. Eur. J. Phys. D 55, 319–326 (2009)
Markowich, P. A., Ringhofer, C. A., Schmeiser, C.: Semiconductor Equations. Springer, Wien (1990)
Melrose, D. B.: Quantum Plasmadynamics: Unmagnetized Plasmas, Lecture Notes in Physics Vol. 735. Springer, New York (2008)
Nicholson, D. R.: Introduction to Plasma Theory. John Wiley, New York (1983)
Pathria, R.K.: Statistical Mechanics, 2nd ed. Butterworth-Heinemann, Woburn (1996)
Pines, D. and Nozières, P. The Theory of Quantum Liquids. New York, W. A. Benjamin (1966)
Planck, M.: Über einen satz der statistischen dynamik und seine erweiterung in der quantentheorie. Sitzber. Preuss. Akad. Wiss., Phys-Math. Klasse, 324–341 (1917)
Salinas, S. R. A.: Introduction to Statistical Physics. Springer, New York (2001)
Sawada, K.: Correlation energy of an electron gas at high density. Phys. Rev. 106, 372–383 (1957)
Shukla, P. K. and Eliasson, B.: Nonlinear interactions between electromagnetic waves and electron plasma oscillations in quantum plasma. Phys. Rev. Lett. 99, 096401–096405 (2007)
Shukla, P. K.: A new spin on quantum plasmas. Nature Phys. 5, 92–93 (2009)
Shukla, P. K. and Eliasson, B.: Nonlinear aspects of quantum plasma physics. Phys. Uspekhi 53, 51–76 (2010)
Zamanian, J. Marklund, M. and Brodin, G.: Scalar quantum kinetic theory for spin-1/2 particles: mean field theory. New J. Phys. 12, 043019–043048 (2010)
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Haas, F. (2011). Introduction. In: Quantum Plasmas. Springer Series on Atomic, Optical, and Plasma Physics, vol 65. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8201-8_1
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