PERTURBATION THEORY IN THE ONE-PHASE REGION OF AN ELECTRON-ION SYSTEM

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The region of validity of our previously derived series expansion for the pressure of an electron-ion system in powers of the electron charge is investigated. For the case of Hydrogen, we both assess the radius of convergence of the series, as a function of the de Broglie density, and cross-compare the results with those from the spherical cellular model. These methods more or less agree in an understandable way, and indicate that the region of validity lies well inside the one-phase region. We are then in a position to combine the series results with our experiential knowledge and thus extend ... continued below

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13 p.

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BAKER, G. & JOHNSON, J. September 1, 2000.

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The region of validity of our previously derived series expansion for the pressure of an electron-ion system in powers of the electron charge is investigated. For the case of Hydrogen, we both assess the radius of convergence of the series, as a function of the de Broglie density, and cross-compare the results with those from the spherical cellular model. These methods more or less agree in an understandable way, and indicate that the region of validity lies well inside the one-phase region. We are then in a position to combine the series results with our experiential knowledge and thus extend our assessment to general values of Z. Also, as is well known, there is a region of high density and low temperature where the pressure and the internal energy are almost independent of temperature. For this region we may, for each density, use the highest temperature for which that independence holds (to the desired accuracy) and thus extend the series results.

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13 p.

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OSTI as DE00768782

Medium: P; Size: 13 pages

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  • Report No.: LA-UR-00-3922
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 768782
  • Archival Resource Key: ark:/67531/metadc722928

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  • September 1, 2000

Added to The UNT Digital Library

  • Sept. 29, 2015, 5:31 a.m.

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  • April 7, 2017, 1:09 p.m.

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BAKER, G. & JOHNSON, J. PERTURBATION THEORY IN THE ONE-PHASE REGION OF AN ELECTRON-ION SYSTEM, article, September 1, 2000; New Mexico. (digital.library.unt.edu/ark:/67531/metadc722928/: accessed December 11, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.