THERMODYNAMIC FUNCTIONS OF A PARTIALLY DEGENERATE, FULLY IONIZED GAS

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The formalism of Glassgold, Heckrotte, and Watson for the expansion of the quantum-mechanical grand partition function has been applied to a gas of point charges. The theory was extended to a multicomponent gas of fermions and bosons, and the ring diagrams were summed to give an approximate expression for the equation of state valid for the entire temperature range. The near-classical limit (high-temperature and low-density so that the gas is only slightly degenerate) is discussed in detail, and useful formulas for numerical computation of pressure and internal energy are derived from the general ring approximation to the equation of state. ... continued below

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Pages: 56

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DeWitt, H.E. August 14, 1959.

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Description

The formalism of Glassgold, Heckrotte, and Watson for the expansion of the quantum-mechanical grand partition function has been applied to a gas of point charges. The theory was extended to a multicomponent gas of fermions and bosons, and the ring diagrams were summed to give an approximate expression for the equation of state valid for the entire temperature range. The near-classical limit (high-temperature and low-density so that the gas is only slightly degenerate) is discussed in detail, and useful formulas for numerical computation of pressure and internal energy are derived from the general ring approximation to the equation of state. By expanding the chemical potential in powers of the coupling constant e/sup 2/, it is possible to eliminate the parametric dependence of pressure and density on the chemical potential and obtain the pressure as a function of density. The classical-limit Debye-Huckel results are obtained when h approaches 0. A general form of the screening length is obtained with the effective screening charge as z/sub i/e THETA /sub i/, where THETA /sub i/ is a measure of the degeneracy of the particle species i. The contribution to the pressure from the simplest exchange interaction valid for all temperatares is evaluated exactly. The temperature and density range for which the nearclassical- limit formulas are valid is discussed. (auth)

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Pages: 56

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  • Other Information: Orig. Receipt Date: 31-DEC-59

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  • Report No.: UCRL-5652
  • Grant Number: W-7405-ENG-48
  • DOI: 10.2172/4203143 | External Link
  • Office of Scientific & Technical Information Report Number: 4203143
  • Archival Resource Key: ark:/67531/metadc877830

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  • August 14, 1959

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  • Sept. 21, 2016, 2:29 a.m.

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  • Feb. 16, 2017, 6:07 p.m.

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DeWitt, H.E. THERMODYNAMIC FUNCTIONS OF A PARTIALLY DEGENERATE, FULLY IONIZED GAS, report, August 14, 1959; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc877830/: accessed December 12, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.