Nonequilibrium grand ensemble method for dense fluids

Journal of Chemical Physics

Volumn 107, Issue 1, 1997, Pages 222-236

  Eu, Byung Chan ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0344740225     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.474358     Document Type: Article

References (26)

1. B. C. Eu, Phys. Rev. E 51, 768 (1995).
2. B. C. Eu, J. Chem. Phys. 102, 7169 (1995).
3. B. C. Eu, J. Chem. Phys. 103, 10652 (1995).
4. B. C. Eu, Kinetic Theory and Irreversible Thermodynamics (Wiley, New York, 1992).
5. For the definition of the term calortropy, see Refs. 2 and 3.
6. J. W. Gibbs, Elementary Principles in Statistical Mechanics (Longmans, Green & Co., New York, 1928).
7. R. C. Tolman, Principles of Statistical Mechanics (Dover, New York, 1979).
8. T. L. Hill, Statistical Mechanics (McGraw-Hill, New York, 1956).
9. A. Münster, Statistical Thermodynamics (Springer, Berlin, 1969).
10. J. H. Irving and J. G. Kirkwood, J. Chem. Phys. 18, 817 (1950).
11. Without this condition of a fixed value of N, a phase space of a given dimensionality cannot be used and an ensemble method consequently cannot be implemented in phase space. As the value of N changes in the real system, the number of representative systems in the petit ensemble of value N changes, but petit ensembles nevertheless are closed systems for the purpose of enumerating the probability densities.
12. M. Chen and B. C. Eu, J. Math. Phys. 34, 3012 (1993).
13. D. G. B. Edelen, Applied Exterior Calculus (Wiley, New York, 1985).
14. This quantity also appears by the name of relative entropy or Kullback entropy in the context of information theory and semigroup theory of irreversibility. See, for example, Refs. 15, 16, 17, and 18 cited below.
15. M. Ichiyanagi, J. Phys. Soc. Jpn. 64, 4268 (1995).
16. S. Kullback, Information Theory and Statistics (Wiley, New York, 1959).
17. C. Beck and F. Schlögl, Thermodynamics of Chaotic Systems (Cambridge, London, 1993).
18. G. Lindblad, Nonequilibrium Entropy and Irreversibility (Reidel, Dordrecht, 1983).
19. B. C. Eu, J. Chem. Phys. 106, 2388 (1997).
20. L. Boltzmann, Lectures on Gas Theory (University of California Press, Berkeley, 1964).
21. B. C. Eu and Y. G. Ohr, J. Chem. Phys. 81, 2756 (1984).
22. B. C. Eu, Phys. Rev. A 40, 6395 (1989).
23. B. C. Eu, Am. J. Phys. 58, 83 (1990).
24. B. C. Eu and R. E. Khayat, Rheol. Acta 30, 149 (1991).
25. Z. Hu and B. C. Eu, High Temperature and High Pressure 25, 353 (1993).
26. M. Al-Ghoul and B. C. Eu, Phys. Rev. E (submitted).