Statistical Mechanics: Application to Real Fluids

  • Dimitrios P. Tassios


Direct solution of the Schrödinger equation for real fluids is not possible. The potential energy of interaction among the molecules is mutual and, consequently, a separate energy cannot be attributed to each molecule. The lack of this energy separability does not allow the simplification of the partition function of the fluid in terms of that of the individual molecules. (Remember that this was the case with the ideal gas, because there the system energy is not mutual.)


Partition Function Radial Distribution Function Molecular Simulation Intermolecular Force Virial Coefficient 
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  1. Adachi, Y., Lu, B.C.-Y., Sugie, H., 1983. Fluid Phase Equilibria, 13, 133.CrossRefGoogle Scholar
  2. Alder, B.J., Young, D.A., Mark, M.A., 1972. J. Chem. Phys., 56, 3013.CrossRefGoogle Scholar
  3. Alder, B.J., Wainwright, T.E., Oct. 1959a. Scientific American,3.Google Scholar
  4. Alder, B.J., Wainwright, T.E., 1959b.J. Chem. Phys.,31, 459.CrossRefGoogle Scholar
  5. Allen, M.P., Tildesley, D.J., 1987. Computer Simulation of Liquids, Oxford University Press, Oxford.Google Scholar
  6. Anderson, T.F., Prausnitz, J.M., 1980a; Ind. Eng. Chem. Process Des. Dew., 19, 1CrossRefGoogle Scholar
  7. Anderson, T.F., Prausnitz, J.M., 1980b. Ind. Eng. Chem. Process Des. Dew., 19, 9.CrossRefGoogle Scholar
  8. Beret, S., Prausnitz, J.M., 1975. AIChEJ., 21, 1123.CrossRefGoogle Scholar
  9. Boublik, T., Nezbeda, I., 1977. Chem. Physics Letters, 46, 315.CrossRefGoogle Scholar
  10. Bryan, P.F., Prausnitz, J.M., 1987. Fluid Phase Equilibria, 38, 201.CrossRefGoogle Scholar
  11. Carnahan, N.F., Starling, K.E., 1969. J. Chem. Phys., 51, 635.CrossRefGoogle Scholar
  12. Carnahan, N.F., Starling, K.E., 1972. AIChE J., 18, 1184.CrossRefGoogle Scholar
  13. Chien, M.C., Greenkorn, R.A., Chao, K.C., 1983. AIChEJ., 29, 560.CrossRefGoogle Scholar
  14. de Pablo, J.J., Prausnitz, J.M., 1989. Fluid Phase Equilibria, 53, 177.CrossRefGoogle Scholar
  15. Dimitrelis, D., Prausnitz, J.M., 1986. Fluid Phase Equilibria, 31, 1.CrossRefGoogle Scholar
  16. Dohrn, R., Prausnitz, J.M., 1990. Fluid Phase Equilibria, 61, 53.CrossRefGoogle Scholar
  17. Flory, P.J., 1970. Disc. Faraday Soc., 49, 7.CrossRefGoogle Scholar
  18. Gasem, K.A.M., Robinson, R.L., Jr., 1989. AIChE Spring National Meeting,Houston.Google Scholar
  19. Gray, C.G., Gubbins, K.E., 1984. Theory of Molecular Fluids: Vold: Fundamentals, Oxford University Press, Oxford.Google Scholar
  20. Gubbins, K.E., Shing, K.S., Street, W.B., 1983. J. Phys. Chem., 87, 4573.CrossRefGoogle Scholar
  21. Gubbins, K.E., 1989a. Chem. Eng. Progress,February, 38.Google Scholar
  22. Gubbins, K.E., 1989b. Molecular Simulation, 2, 223.CrossRefGoogle Scholar
  23. Haile, J.H., 1986. Fluid Phase Equilibria, 29, 307.CrossRefGoogle Scholar
  24. Harismiadis, V.I., Koutras, N.K., Tassios, D.P., Panagiotopoulos, A.Z., 1991. Fluid Phase Equilibria, 65, 1.CrossRefGoogle Scholar
  25. Hirschfelder, J.O., Curtiss, C.F., Bird, R.B., 1954. Molecular Theory of Gases and Liquids, Wiley, New York.Google Scholar
  26. Kalospiros, N., Misseyannis, G., Androulakis, I., Tassios, D., 1991. Fluid Phase Equilibria, 64, 173.CrossRefGoogle Scholar
  27. Kim, H.Y., Lin, H.M., Chao, K.C., 1986. Ind. Eng. Chem. Fundam., 25, 75.CrossRefGoogle Scholar
  28. Kim, C.-H., Vilmalchand, P., Donohue, M.D., Sandler, S.I., 1988. AIChE J., 34, 834.CrossRefGoogle Scholar
  29. Lee, K.-H., Sandler, S.I., Patel, N.C., 1986. Fluid Phase Equilibria, 25, 31.CrossRefGoogle Scholar
  30. Lee, K.-H., Sandler, S.I., 1987. Fluid Phase Equilibria, 34, 113.CrossRefGoogle Scholar
  31. Lin, H.M., Kim, H.Y., Guo, T.M., Chao, K.C., 1983. Fluid Phase Equilibria, 13, 143.CrossRefGoogle Scholar
  32. Mansoori, G.A., Carnahan, N.F., Starling, K.E., Leland, T.W. Jr., 1971. J. Chem. Phys., 54, 1523.CrossRefGoogle Scholar
  33. Mansoori, G.A., Haile, J.M., 1983. In Molecular-Based Study of Fluids,Haile, J.M., Mansoori, G.A., Eds, Advances in Chemistry Series 204, Am. Chem. Soc.,Washington, D.C.Google Scholar
  34. Mathias, P.M., Benson, M.S., 1986. AIChEJ., 32, 2087.CrossRefGoogle Scholar
  35. Metropolis, N.A., Rosenbluth, A.W., Rosenbluth, M.N., Teller, A.H., Teller, E., 1953. J. Chem. Phys., 21, 1087.CrossRefGoogle Scholar
  36. Nakanishi, K., Adachi, Y., Fujihara, I., 1986. Fluid Phase Equilibria, 29, 347.CrossRefGoogle Scholar
  37. Panagiotopoulos, A.Z., Suter, U.W., Reid, R.C., 1986. hid. Eng. Chem. Fun-dam.,25, 525.Google Scholar
  38. Panagiotopoulos, A. Z., Stapleton, M. R., 1989. Fluid Phase Equilibria, 53, 133.CrossRefGoogle Scholar
  39. Pings, C.J., 1967. Disc. Faraday Soc., 43, 89.CrossRefGoogle Scholar
  40. Prausnitz, J.M., 1985. Fluid Phase Equilibria, 24, 63.CrossRefGoogle Scholar
  41. Prigogine, I., 1957. Molecular Theory of Solutions, North-Holland, Amsterdam.Google Scholar
  42. Quirke, N., 1986. Fluid Phase Equilibria, 29, 283.CrossRefGoogle Scholar
  43. Reed, T.M., Gubbins, K.E., 1973. Applied Statistical Mechanics, McGraw-Hill, New York.Google Scholar
  44. Rowlinson, J.W., 1990. The Prediction of Physical Properties - A Challenge to Chemical Engineers, The Inaugural T.W. Leland, Jr. Lecture in Chemical Engineering, Rice University, Houston.Google Scholar
  45. Sandler, S.I., Lee, K.-H., 1986. Fluid Phase Equilibria, 30, 135.CrossRefGoogle Scholar
  46. Vera, J.H., Prausnitz, J.M., 1972. Chem. Eng. J., 3, 1.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Dimitrios P. Tassios
    • 1
    • 2
  1. 1.National Technical University of AthensZographos, AthensGreece
  2. 2.New Jersey Institute of TechnologyNewarkUSA

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