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The Quantum Equation of State of Fully Ionized Plasmas
Author(s) -
Hussein N. A.,
Ibrahim D. A. E.
Publication year - 2011
Publication title -
contributions to plasma physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0863-1042
DOI - 10.1002/ctpp.201110003
Subject(s) - virial coefficient , equation of state , physics , plasma , virial theorem , matter wave , atomic physics , thermal equilibrium , debye length , ionization , thermal , thermodynamics , quantum , ion , quantum mechanics , galaxy
The quantum equation of state of the electron‐ion‐plasmas in thermal equilibrium is derived; the pressure until the third virial coefficient is calculated. We consider only the thermal equilibrium plasma in the case of nλ 3 ab ≪ 1 where λ 2 ab = (( ħ 2 )/( m ab KT )) is the thermal De Broglie wavelength. The formulas contain the contributions of the exchange effects. Our equation of state is compared with result of Ebeling et al. who calculated the pressure until the second virial coefficient only and in the case of χλ ee ≪ 1 where χ is the Debye length. Upon comparison with Ebeling et al. one observes that the considerable contribution of the third virial coefficient in the region of high temperatures (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)