Microscopic derivation of hydrodynamic equations for phase-separating fluid mixtures

Journal of Chemical Physics

Volumn 118, Issue 20, 2003, Pages 9109-9127

  Español, Pep ^a   Thieulot, Cedric ^b  

^a UNIVERSIDAD NACIONAL DE EDUCACIÓN A DISTANCIA   (Spain)

^b UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

FLUIDS; FREE ENERGY; HAMILTONIANS; INTERFACES (MATERIALS); MATRIX ALGEBRA; MIXTURES; PARTIAL DIFFERENTIAL EQUATIONS; PHASE SEPARATION; PHASE TRANSITIONS; SURFACE TENSION; THERMODYNAMICS; VAN DER WAALS FORCES;

FLUID MIXTURES; HYDRODYNAMIC EQUARIONA; MICROSCOPIC DERIVATION;

HYDRODYNAMICS;

EID: 0038617498     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1568333     Document Type: Article

References (41)

1. H.T. Davis, Statistical Mechanics of Phases, Interfaces and Thin Films (Wiley-VCH, New York, 1996).
2. J.L. Lebowitz and E.M. Waisman, Phys. Today X(3), 24 (1980).
3. B.C. Eu and K. Rah, Phys. Rev. E 63, 031203 (2001).
4. M. López de Haro, E.G.D. Cohen, and J.M. Kincaid, J. Chem. Phys. 78, 2746 (1983)
5. J.M. Kincaid, M. López de Haro, and E.G.D. Cohen, ibid. 79, 4509 (1983)
6. M. López de Haro and E.G.D. Cohen, ibid. 80, 408 (1984)
7. J.M. Kincaid, M. López de Haro, and E.G.D. Cohen, ibid. 86, 963 (1987).
8. R.J. Bearman and J.G. Kirkwood, J. Chem. Phys. 28, 136 (1958).
9. M.S. Green, J. Chem. Phys. 22, 398 (1954).
10. L.D. Landau and E.M. Lifshitz, Fluid Mechanics (Pergamon, Oxford, 1959).
11. S.R. de Groot and P. Mazur, Non-Equilibrium Thermodynamics (North-Holland, Amsterdam, 1962).
12. A.N. Beris and B.J. Edwards, Thermodynamics of Flowing Systems with Internal Microstructure (Oxford University Press, Oxford, 1994).
13. D.M. Anderson, G.B. McFadden, and A.A. Wheeler, Ann. Fluid Mech. 30, 139 (1998).
14. L.K. Antanovskii, Phys. Fluids 7, 747 (1994).
15. J. Lowengrub and L. Truskinovsky, Proc. R. Soc. London, Ser. A 454, 2617 (1998).
16. H.C. Öttinger, Phys. Rev. E 57, 1416 (1998).
17. M. Grmela and H.C. Öttinger, Phys. Rev. E 56, 6620 (1997)
18. H.C. Öttinger and M. Grmela, ibid. 56, 6633 (1997)
19. H.C. Öttinger, J. Non-Equilib. Thermodyn. 22, 386 (1997)
20. H.C. Öttinger, Physica A 254, 433 (1998).
21. J.J. de Pablo and H.C. Öttinger, J. Non-Newtonian Fluid Mech. 96, 137 (2001).
22. P. Español, J. Chem. Phys. 115, 5392 (2001).
23. N. van Kampen, Phys. Rev. 135, A362 (1964)
24. L.E. Reichl, A Modern Course in Statistical Physics (University of Texas Press, Austin, 1980).
25. H.B. Callen, Thermodynamics and an Introduction to Thermostatistics 2nd ed. (Wiley, New York, 1985).
26. R. Zwanzig, J. Chem. Phys. 40, 2527 (1964).
27. G. V. Paolini and G. Ciccotti, Phys. Rev. A 35, 5156 (1987).
28. Binary mixtures of hard-core particles of sufficiently large size asymmetry can phase separate as has been shown in M. Dijkstra, D. Frenkel, and J.-P. Hansen, J. Chem. Phys. 101, 3179 (1994)
29. A. Buhot and W. Krauth, Phys. Rev. Lett. 80, 3787 (1998).
30. A. Røsjorde, D.W. Fossmo, D. Bedeaux, S. Kjelstrup, and B. Hafskjold, J. Colloid Interface Sci. 232, 178 (2000).
31. J.W. Cahn and J.E. Hilliard, J. Chem. Phys. 28, 258 (1958).
32. E.B. Nauman and D.Q. He, Chem. Eng. Sci. 56, 1999 (2001).
33. P. Español, in Lecture notes of SoftSimu2002-Novel Methods in Soft Matter Simulations, edited by Mikko Kartunen, Ilpo Vattulainen, and Ari Lukkarinen, Lecture Notes in Physics (Springer-Verlag, Berlin, in press).
34. M.S. Green, J. Chem. Phys. 20, 1281 (1952).
35. R. Zwanzig, Phys. Rev. 124, 983 (1961).
36. J. Español and I. Zúñiga, J. Chem. Phys. 98, 574 (1993).
37. H. Grabert, Projection Operator Techniques in Nonequilibrium Statistical Mechanics (Springer-Verlag, Berlin, 1982).
38. J. Español and F.J. de la Rubia, Physica A 187, 589 (1992).
39. J.H. Irwing and J.G. Kirkwood, J. Chem. Phys. 18, 817 (1950).
40. B.J. Edwards, J. Non-Equilib. Thermodyn. 23, 301 (1998)
41. B.J. Edwards, A.N. Beris, and H.C. Öttinger, ibid. 23, 334 (1998).