Extensions of the quasi-Gaussian entropy theory

Journal of Chemical Physics

Volumn 106, Issue 5, 1997, Pages 1893-1912

  Amadei, A ^a   Apol, M E F ^a   Berendsen, H J C ^a  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001294937     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.473328     Document Type: Article

References (41)

1. A. Amadei, M. E. F. Apol, A. Di Nola, and H. J. C. Berendsen, J. Chem. Phys. 104, 1560 (1996).
2. M. E. F. Apol, A. Amadei, and H. J. C. Berendsen, J. Chem. Phys. 104, 6665 (1996).
3. M. E. F. Apol, A. Amadei, and H. J. C. Berendsen, Chem. Phys. Lett. 256, 172 (1996).
4. A. Amadei, D. Roccatano, M. E. F. Apol, H. J. C. Berendsen, and A. DiNola, J. Chem. Phys. 105, 7022 (1996).
5. J. P. M. Postma, Ph.D. thesis, University of Groningen, The Netherlands, 1985.
6. K. Tödheide, in Water: a Comprehensive Treatise, edited by F. Franks (Plenum, New York, 1972), Vol. 1, Chap. 13, pp. 463-514.
7. In this paper, as in the previous ones, we consider the total number of molecules N constant.
8. Throughout the paper with this notation we mean both ideal reduced and confined ideal reduced.
9. J. K. Patel, C. H. Kapadia, and D. B. Owen, Statistics: Textbooks and Molographs (Dekker, New York, 1976), Vol. 20.
10. N. I. Johnson, S. Kotz, and A. W. Kemp, Univariate Discrete Distributions, 2nd ed. (Wiley, New York, 1992).
11. J. K. Patel and C. B. Read, Statistics: Textbooks and Monographs (Dekker, New York, 1982), Vol. 40.
12. T. Hill, Statistical Mechanics (McGraw-Hill, New York, 1956).
13. D. A. McQuarrie, Statistical Mechanics (Harper & Row, New York, 1976).
14. J. E. Mayer and M. G. Mayer, Statistical Mechanics (Wiley, New York, 1940).
15. G. A. Baker, Jr., Essentials of Padé Approximants (Academic, New York, 1975).
16. The Padé Approximant in Theoretical Physics, edited by G. A. Baker, Jr. and J. L. Gammel (Academic, New York, 1970).
17. J. K. Ord, Families of Frequency Distributions (Griffin, London, 1972).
18. K. A. Dunning and J. N. Hanson, J. Stat. Comp. Simul. 6, 115 (1978).
19. N. I. Johnson and S. Kotz, Continuous Univariate Distributions-1 (Houghton Mifflin, New York, 1970).
20. M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).
21. R. S. Chhikara and J. L. Folks, Statistics: Textbooks and Monographs (Dekker, New York, 1989), Vol. 95.
22. B. Jorgensen, Lecture Notes in Statistics (Springer, New York, 1982), Vol. 9.
23. Note that there are typographical errors in the expression of the moment generating function of the Inverse Gaussian distribution in both Refs. 9 and 1 9.
24. This follows from the fact that in the zero temperature limit the system will be confined within one differential volume element, corresponding to the minimum energy configuration(s).
25. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids, 2nd ed. (Academic, London, 1986).
26. N. F. Carnahan and K. E. Starling, J. Chem. Phys. 51, 635 (1969).
27. R. C. Reid, J. M. Prausnitz, and B. E. Poling, The Properties of Gases and Liquids, 4th ed. (McGraw-Hill, New York, 1987).
28. O. Redlich and J. N. S. Kwong, Chem. Rev. 44, 233 (1949).
29. G. Soave, Chem. Eng. Sci. 27, 1197 (1972).
30. D.-Y. Peng and D. B. Robinson, Ind. Eng. Chem. Fund. 15, 59 (1976).
31. M. J. Maeso and J. R. Solana, Mol. Phys. 79, 449 (1993).
32. M. J. Maeso and J. R. Solana, Mol. Phys. 79, 1365 (1993).
33. M. J. Maeso and J. R. Solana, J. Chem. Phys. 100, 3142 (1994).
34. M. J. Maeso and J. R. Solana, J. Chem. Phys. 101, 9864 (1994).
35. T. Boublík. Mol. Phys. 83, 1285 (1994).
36. E. Schmidt, Properties of Water and Steam in SI-Units (Springer, Berlin, 1969).
37. C. W. Burnham, J. R. Holloway, and N. F. Davis, Thermodynamic Properties of Waler to 1000 °C and 10 000 bars (Geological Society America, Boulder, 1969), Special paper No. 132.
38. W. C. Reynolds, Thermodynamic Properties in SI (Department of Mechanical Engineering, Stanford University Press, Stanford, 1979).
39. J. A. Barker and D. Henderson, Mol. Phys. 21, 187 (1971).
40. P. W. Atkins, Physical Chemistry, 3rd ed. (Oxford University Press. Oxford, 1987).
41. R. A. Pierotti, J. Phys. Chem. 69, 281 (1965).