Thermodynamic Properties of $^{4}$ He Gas in the Temperature Range 4.2-0?K

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• 作者：S. M. Mosameh (1)
  A. S. Sandouqa (2)
  H. B. Ghassib (3)
  B. R. Joudeh (4) (5)
  
• 关键词：Second virial coefficient ; Galitskii–Migdal–Feynman formalism ; $$^{4}$$ 4 He gas ; Phase ; transition point ; Equation of state
• 刊名：Journal of Low Temperature Physics
• 出版年：2014
• 出版时间：May 2014
• 年：2014
• 卷：175
• 期：3-4
• 页码：523-542
• 全文大小：1,743 KB
• 参考文献：1. R.P. Feynman, / Statistical Mechanics: A Set of Lectures (Benjamin, Reading, MA, 1992)
  2. K. Huang, / Statistical Mechanics (Wiley, New York, 1987)
  3. A.L. Fetter, J.D. Walecka, / Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971)
  4. H.B. Ghassib, R.F. Bishop, M.R. Strayer, J. Low Temp. Phys. 23, 393-01 (1976) CrossRef
  5. R.F. Bishop, H.B. Ghassib, M.R. Strayer, Phys. Rev. A 13(4), 1570-580 (1976) CrossRef
  6. M.K. Al-Sugheir, H.B. Ghassib, B.R. Joudeh, Int. J. Mod. Phys. B 18, 2491-504 (2006) CrossRef
  7. A.S. Sandouqa, M.K. Al-Sugheir, H.B. Ghassib, Phys. Scr. 74, 5-1 (2006) CrossRef
  8. B.R. Joudeh, A.S. Sandouqa, M.K. Al-Sugheir, H.B. Ghassib, Phys. B 404, 1847-851 (2009) CrossRef
  9. A.S. Sandouqa, H.B. Ghassib, B.R. Joudeh, Chem. Phys. Lett. 490, 172-75 (2010) CrossRef
  10. B.R. Joudeh, A.S. Sandouqa, H.B. Ghassib, M.K. Al-Sugheir, J. Low Temp. Phys. 161, 348-66 (2010) CrossRef
  11. H.R. Glyde, S.I. Hernadi, Phys. Rev. B 29(10), 4926-932 (1984) CrossRef
  12. C.W. Greef, H.R. Glyde, Phys. Rev. B 45(15), 7951-958 (1992) CrossRef
  13. G.A. Vliegenthart, H.N.W. Lekkerkerk, J. Chem. Phys. 112(13), 5364-369 (2000) CrossRef
  14. S. Zhou, Mol. Simul. 33(15), 1187-191 (2007) CrossRef
  15. R.A. Aziz, M.J. Slaman, Metrologia 27, 211-19 (1990) CrossRef
  16. G.S. Kell, G.E. Mclaurin, E. Whalley, J. Chem. Phys. 68(5), 2199-205 (1978) CrossRef
  17. G. Schneider, J.A. Duffie, J. Chem. Phys. 17(10), 751-54 (1949) CrossRef
  18. R.C. Kemp, W.R.G. Kemp, L.M. Besley, 1986. Metrologia 23, 61-6 (1986) CrossRef
  19. H. Luther, K. Grohmann, B. Fellmuth, Metrologia 33, 341-52 (1996) CrossRef
  20. P.P.M. Steur, M. Durieux, G.T. McConville, Metrologia 24, 69-7 (1987) CrossRef
  21. C. Gaiser, B. Fellmuth, Metrologia 46, 525-33 (2009) CrossRef
  22. J.J. Hurly, J.B. Mehl, J. Res. Nat. Inst. Stand. Tech. 112, 75-4 (2007) CrossRef
  23. H. Plumb, G. Cataland, Metrologia 2(4), 127-39 (1966) CrossRef
  24. E.M. Boyd, S.Y. Larsen, H. Plumb, J. Res. Nat. Bureau Stand. A. Phys. Chem. 72A(2), 155-56 (1968)
  25. K.H. Berry, Metrologia 15, 89-15 (1979) CrossRef
  26. L.W. Bruch, R. Kariotis, Phys. Rev. B 73(20), 193404 (2006)
  27. R.L. Siddon, M. Schick, Phys. Rev. A 9(4), 1753-756 (1974) CrossRef
  28. M.A. Barrufetand Ph, T. Eubank, Fluid Phase Equilibria 35, 107-16 (1987) CrossRef
  29. M.E. Boyd, S.Y. Larsen, J.E. Kilpatrick, J. Chem. Phys. 50(10), 4034-055 (1969) CrossRef
  30. H. Shi, W.-M. Zheng, Phys. A 258, 303-10 (1998) CrossRef
  31. P.P. Bezverkhy, J. Low Temp. Phys. 35(11), 741-47 (2009) CrossRef
  32. R.A. Aziz, V.P.S. Nain, J.S. Carley, W.L. Taylor, G.T. McConville, J. Chem. Phys. 70, 4330-341 (1979) CrossRef
  33. R.A. Aziz, A.R. Janzen, Metrologia 25, 57-8 (1988) CrossRef
  34. G. Sposito, E. Hukoveh, J. Low Temp. Phys. 9(5/6), 495-98 (1972) CrossRef
  35. R.F. Bishop, H.B. Ghassib, M.R. Strayer, J. Low Temp. Phys. 24(5/6), 669-90 (1977) CrossRef
  36. E.V.L. Mello, J.J. Rehr, O.E. Vilches, Phys. Rev. B 28(7), 3759-764 (1983) CrossRef
  37. V.L. Seguin, H. Guignes, C. Lhuillier, Phys. Rev. B 36(1), 141-55 (1987) CrossRef
  38. B.R. Joudeh, Mod. Appl. Sci. 5, 25-6 (2011) CrossRef
  39. A.S. Sandouqa, Mod. Appl. Sci. 6, 32-4 (2012) CrossRef
  40. B.R. Joudeh, Phys. B 421, 41-5 (2013) CrossRef
  41. H.T. Stoof, M. Bijlsma, M. Houbiers, J. Res. Nat. Inst. Stand. Tech. 101(4), 443-55 (1996) CrossRef
  42. C. Kittel, H. Kroemer, / Thermal Physics (Freeman, New York, 1980)
  43. P.P.M. Steur, M. Durieux, G.T. McConville, Metrologia 24, 69-7 (1987) CrossRef
  44. H.B. Ghassib, A.S. Sandouqa, B.R. Joudeh, S.M. Mosameh, Can. J. Phys. (to be published)
  45. J.E. Kilpatrick, W.E. Keller, E.F. Hammel, N. Metropolis, Phys. Rev. 94(5), 1103-110 (1954) CrossRef
  46. A.R. Colclough, Metrologia 15, 183-93 (1979) CrossRef
  47. M.A. Barrufet, PhT Eubank, Fluid Phase Equilibria 35, 107-16 (1987) CrossRef
  48. S.-I. Kho, Phys. B 329-33, 38-9 (2003)
  
• 作者单位：S. M. Mosameh (1)
  A. S. Sandouqa (2)
  H. B. Ghassib (3)
  B. R. Joudeh (4) (5)
  
  1. Department of Applied Sciences, Irbid University College, Al-Balqa-Applied University, Irbid, Jordan
  2. Department of Applied Sciences, Faculty of Engineering Technology, Al-Balqa-Applied University, Amman, Jordan
  3. Department of Physics, The University of Jordan, Amman, Jordan
  4. Applied Physics Department, Tafila Technical University, Tafila, Jordan
  5. Department of Computer Science, College of Shari’a and Islamic Studies in Al Ahsaa, Al Imam Muhammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia
  
• ISSN：1573-7357

文摘

The thermodynamic properties of $^{4}$ He gas are investigated in the temperature-range 4.2-0?K, with special emphasis on the second virial coefficient in both the classical and quantum regimes. The main input in computing the quantum coefficient is the ‘effective-phase shifts. These are calculated within the framework of the Galitskii–Migdal–Feynman (GMF) formalism, using the HFDHE2 and Sposito potentials. The virial equation of state is constructed. Extensive calculations are carried out for the pressure–volume–temperature (P–V–T) behavior, as well as chemical potential, and nonideality of the system. The following results are obtained. First, the validity of the GMF formalism for the present system is demonstrated beyond any doubt. Second, the boiling point (phase-transition point) of $^{4}$ He gas is determined from the P–V behavior using the virial equation of state, its value being closest than all previous results to the experimental value. Third, the chemical potential $\upmu $ is evaluated from the quantum second virial coefficient. It is found that $\upmu $ increases (becomes less negative) as the temperature decreases or the number density n increases. Further, $\upmu $ shows no sensitivity to the differences between the potentials used up to n = 10 $^{27}$ m $^{-3}$ . Finally, the compressibility Z is computed and discussed as a measure of the nonideality of the system.