Statistical field theory for simple fluids: The collective variables representation

Physica A: Statistical Mechanics and its Applications

Volumn 368, Issue 2, 2006, Pages 326-344

  Caillol, J M ^a   Patsahan, O ^b   Mryglod, I ^b  

^a UNIVERSITÉ PARIS SUD   (France)

^b INSTITUTE FOR CONDENSED MATTER PHYSICS   (Ukraine)

Author keywords

Collective variables; Loop expansion; Statistical field theory

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; FLUID DYNAMICS; MATHEMATICAL TRANSFORMATIONS;

COLLECTIVE VARIABLES; LOOP EXPANSION; STATISTICAL FIELD THEORY;

STATISTICAL METHODS;

EID: 33744789168     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2005.11.010     Document Type: Article

References (27)

1. Negele J.W., and Orland H. Quantum Many Particle Systems (1988), Frontiers in Physics, Addison-Wesley, Reading, MA
2. Zinn-Justin J. Quantum Field Theory and Critical Phenomena (1989), Clarendon Press, Oxford
3. Hubbard J. Phys. Rev. Lett. 3 (1959) 77
4. Stratonovich R.L. Sov. Phys. Solid State 2 (1958) 1824
5. Zubarev D.N. Dokl. Akad. Nauk SSSR 95 (1954) 757 (in Russian)
6. Yukhnovskii I.R. Zh. Eksp. Teor. Fiz. 34 (1958) 379 (Sov. Phys. JETP 34 (1958) 263)
7. Bohm D., and Pines D. Phys. Rev. 82 (1951) 625
8. Yukhnovskii I.R., and Holovko M.F. Statistical Theory of Classical Equilibrium Systems (1980), Naukova Dumka, Kiev (in Russian)
9. Yukhnovskii I.R. Phase Transitions of the Second Order, Collective Variable Methods (1987), World Scientific, Singapore
10. Ciach A., and Stell G. J. Mol. Liq. 87 (2000) 253
11. Caillol J.-M. Mol. Phys. 101 (2003) 1617
12. Hansen J.-P., and Mc Donald I.R. Theory of Simple Liquids (1986), Academic Press, London
13. Kac M. Phys. Fluids 2 (1959) 8
14. Siegert A.J.F. Physica 26 (1960) 530
15. Hubbard J., and Schofield P. Phys. Lett. 40A (1972) 245
16. Edwards S.F. Philos. Mag. 4 (1959) 1171
17. Wiegel F.W. Phys. Rep. 16C (1975) 57
18. Caillol J.-M. J. Stat. Phys. 115 (2004) 1461 extended version: arXiv: cond-mat/0305465.
19. Wegner F.J. In: Domb C., and Green M.S. (Eds). Phase Transitions and Critical Phenomena vol. VI (1976), Academic Press, New York
20. D. Ruelle, Statistical Mechanics, Rigorous Results, W.A. Benjamin, New York, 1969.
21. Efimov G.V., and Nogovitsin E.A. Physica A 234 (1996) 506
22. Caillol J.-M. J. Phys. A: Math. Gen. 36 (2003) 10431
23. Caillol J.-M. Mol. Phys. 103 (2005) 1271
24. Yukhnovskii I.R. Physica A 168 (1990) 999
25. Yukhnovskii I.R., and Patsahan O.V. J. Stat. Phys. 81 (1995) 647
26. Stell G. In: Frisch H.L., and Lebowitz J.L. (Eds). The Equilibrium Theory of Classical Fluids (1964), Benjamin, New York
27. Stell G. In: Domb C., and Lebowitz J.L. (Eds). Phase Transitions and Critical Phenomena vol. 5b (1973), Academic Press, New York