The explicit density functional and its connection with entropy maximization

Journal of Statistical Physics

Volumn 100, Issue 1-2, 2000, Pages 445-473

  Attard, Phil ^a  

^a UNIVERSITY OF SOUTH AUSTRALIA   (Australia)

Author keywords

Cluster diagrams; Density functional theory; Maximum entropy

Indexed keywords

EID: 0034342607     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1018668502023     Document Type: Article

References (17)

1. G. Stell, in The Equilibrium Theory of Classical Fluids, H. Frisch and J. L. Lebowitz, eds. (Benjamin, New York, 1964), p. 11-171.
2. J.-P. Hansen and I. R. McDonald, Theory of Simple Liquids, 2nd ed. (Academic, London, 1986).
3. R. Evans, Adv. Phys. 28:143 (1979).
4. This is true provided that the configuration probabilities are restricted to the usual Boltzmann form with fixed internal potential. It would be more precise to say that there is a one-to-one relationship between the activity (equivalently the external potential) and the density profile.
5. P. Attard, unpublished.
6. M. S. Green, J. Math. Phys. 1:391 (1960).
7. F. H. Stillinger and F. P. Buff, J. Chem. Phys. 57:1 (1962).
8. C. de Dominicis, J. Math. Phys. 3:983 (1962); 4:255 (1963).
9. C. de Dominicis, J. Math. Phys. 3:983 (1962); 4:255 (1963).
10. P. Attard and G. N. Patey, J. Chem. Phys. 92:4970 (1990).
11. P. Attard, J. Chem. Phys. 95:4471 (1991).
12. P. Attard and S. J. Miklavic, J. Chem. Phys. 99:6078 (1993).
13. W. Olivares and D. A. McQuarrie, J. Chem. Phys. 65:3604 (1976).
14. T. Morita, Prog. Theor. Phys. 23:839 (1960).
15. P. Attard, Phys. Rev. A 45:3659 (1992).
16. P. Attard, J. Chem. Phys. 94:2370 (1991).
17. H. B. Callan, Thermodynamics (Wiley, New York, 1960).