Crossref journal-article
AIP Publishing
The Journal of Chemical Physics (317)
Abstract

The statistical mechanical formalisms for dealing with mixtures containing an infinite number of components are discussed. The partition function and the thermodynamic properties can be easily generalized from the corresponding results for pure substances when the polydisperse fluid is studied in a four-dimensional space. The chemical potential field acts along the additional coordinate: the composition axis. A perturbation theory for narrow distributions is developed. A small parameter measuring the width of the chemical potential function is used within a semigrand ensemble. An equivalent, hybrid expansion expresses the results in terms of the variance of the composition distribution.

Bibliography

Briano, J. G., & Glandt, E. D. (1984). Statistical thermodynamics of polydisperse fluids. The Journal of Chemical Physics, 80(7), 3336–3343.

Authors 2 University of Pennsylvania
  1. J. G. Briano (first) University of Pennsylvania
  2. E. D. Glandt (additional) University of Pennsylvania
References 33 Referenced 105
  1. {'key': '2024021000453474200_r1'}
  2. 10.1098/rsta.1966.0054 / Philos. Trans. R. Soc. London Ser. A (1966)
  3. 10.1063/1.444274 / J. Chem. Phys. (1982)
  4. 10.1063/1.443634 / J. Chem. Phys. (1982)
  5. 10.1021/ie50477a039 / Ind. Eng. Chem. (1949)
  6. {'key': '2024021000453474200_r6'}
  7. 10.1021/ie50503a055 / Ind. Eng. Chem. (1951)
  8. 10.1021/ie50503a056 / Ind. Eng. Chem. (1951)
  9. {'key': '2024021000453474200_r7b', 'first-page': '112', 'volume': '48', 'year': '1952', 'journal-title': 'Chem. Eng. Prog. Symp. Ser.'} / Chem. Eng. Prog. Symp. Ser. (1952)
  10. {'key': '2024021000453474200_r7c', 'first-page': '46', 'volume': '48', 'year': '1952'} (1952)
  11. {'key': '2024021000453474200_r7d', 'first-page': '69', 'volume': '49', 'year': '1953', 'journal-title': 'Chem. Eng. Prog. Symp. Ser.'} / Chem. Eng. Prog. Symp. Ser. (1953)
  12. 10.1021/ie50549a012 / Ind. Eng. Chem. (1955)
  13. 10.1021/i260052a010 / Ind. Eng. Chem. Proc. Des. Develop. (1974)
  14. {'key': '2024021000453474200_r9', 'first-page': '163', 'volume': '55', 'year': '1976', 'journal-title': 'Hydrocarbon Process.'} / Hydrocarbon Process. (1976)
  15. {'key': '2024021000453474200_r10'}
  16. 10.1021/ie50527a044 / Ind. Eng. Chem. (1953)
  17. 10.1021/ma60066a011 / Macromolecules (1978)
  18. 10.1021/ma60066a012 / Macromolecules (1978)
  19. 10.1021/ma60066a013 / Macromolecules (1978)
  20. 10.1002/pol.1968.160060201 / J. Polym Sci. Part A (1968)
  21. 10.1063/1.438088 / J. Chem. Phys. (1979)
  22. {'key': '2024021000453474200_r12a', 'first-page': '2212', 'volume': '72', 'year': '1980', 'journal-title': 'J. Chem. Phys.'} / J. Chem. Phys. (1980)
  23. 10.1063/1.436750 / J. Chem. Phys. (1978)
  24. 10.1063/1.438756 / J. Chem. Phys. (1979)
  25. {'key': '2024021000453474200_r13'}
  26. 10.1016/0009-2614(79)80326-7 / Chem. Phys. Lett. (1979)
  27. 10.1039/f29807601468 / J. Chem. Soc. Trans. Faraday (1980)
  28. 10.1039/f29807601458 / J. Chem. Soc. Faraday Trans. (1980)
  29. {'key': '2024021000453474200_r17'}
  30. 10.1143/PTP.25.537 / Prog. Theor. Phys. (1961)
  31. {'key': '2024021000453474200_r19'}
  32. {'key': '2024021000453474200_r20'}
  33. 10.1063/1.1675048 / J. Chem. Phys. (1971)
Dates
Type When
Created 22 years, 5 months ago (Feb. 28, 2003, 12:18 p.m.)
Deposited 1 year, 6 months ago (Feb. 9, 2024, 9:05 p.m.)
Indexed 3 weeks, 5 days ago (Aug. 2, 2025, 1:28 a.m.)
Issued 41 years, 4 months ago (April 1, 1984)
Published 41 years, 4 months ago (April 1, 1984)
Published Print 41 years, 4 months ago (April 1, 1984)
Funders 0

None

@article{Briano_1984, title={Statistical thermodynamics of polydisperse fluids}, volume={80}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.447087}, DOI={10.1063/1.447087}, number={7}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Briano, J. G. and Glandt, E. D.}, year={1984}, month=apr, pages={3336–3343} }