Field theoretical representation of the Hohenberg-Kohn free energy for fluids

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 5, 1999, Pages

  Frusawa, H ^a   Hayakawa, R ^a  

^a UNIVERSITY OF TOKYO   (Japan)

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ARTICLE;

EID: 0000260303     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.R5048     Document Type: Article

References (21)

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3. Hereafter, all of the potentials (μ, Ω, J, U, F, and H) are in the (Formula presented) unit.
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5. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids (Academic Press, London, 1986).
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12. Mathematical discussions are seen in J. Glimm and A. Jaffe, Quantum Physics: A Functional Integral Point of View (Springer-Verlag, Berlin, 1987), and references therein.
13. In case one starts with the canonical partition function (or the Helmholtz free energy), the mappings to density functional integral forms have been performed, but the associated Hamiltonians are of power series
14. see, for polymeric systems, T. Ohta and K. Kawasaki, Macromolecules 19, 2621 (1986)
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16. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Oxford University Press, Oxford, 1996).
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19. M. N. Tamashiro, Y. Levin, and M. C. Barbosa, Physica A 268, 24 (1999).
20. H. Frusawa and R. Hayakawa (unpublished).
21. The two-body interaction potential U in the case of one-component systems is not an averaged but bare one. Therefore, the pairwise additivity does not mean the Kirkwood superposition and would not be so crude an approximation.