Phenomenological viscous factor in the nonequilibrium distribution function for liquids

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 72, Issue 5, 2005, Pages

  Morioka, S ^a  

^a SHANDONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

FLUIDS; FUNCTIONS; INTEGRAL EQUATIONS; LIQUIDS;

DISTRIBUTION FUNCTION; SHEAR VISCOSITY;

VISCOSITY;

EID: 28844475178     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.051203     Document Type: Article

References (46)

1. S. Chapman and T. G. Cowling, The Mathematical Theory of Non-uniform Gases, 2nd ed. (Cambridge University Press, London, 1952).
2. M. V. Tokarchuk, I. P. Omelyan, and A. E. Kobryn, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.8021 62, 8021 (2000).
3. J. G. Kirkwood, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1724117 14, 180 (1946);
4. J. G. Kirkwood, F. P. Buff, and M. S. Green, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1747099 17, 988 (1949);
5. S. A. Rice, J. G. Kirkwood, J. Ross, and R. W. Zwanzig, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1730431 31, 575 (1959);
6. S. A. Rice and J. G. Kirkwood, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1730547 31, 901 (1959).
7. S. A. Rice and A. R. Allnatt, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1731836 34, 2144 (1961);
8. A. R. Allnatt and S. A. Rice, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1731837 34, 2156 (1961).
9. S. A. Rice and P. Gray, The Statistical Mechanics of Simple Liquids (Interscience, New York, 1965), Chaps. and.
10. N. N. Bogoliubov, J. Phys. (Moscow) JOPYA6 0368-3400 10, 256 (1946);
11. N. N. Bogoliubov, J. Phys. (Moscow) JOPYA6 0368-3400 10, 265 (1946);
12. M. Born and H. S. Green, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 188, 10 (1946);
13. J. G. Kirkwood, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1749657 3, 300 (1935);
14. J. Yvon, Actualités Scientifiques et Industrielles (Hermann, Paris, 1935).
15. P. Malbrunot, A. Boyer, E. Charles, and H. Abachi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.27.1523 27, 1523 (1983).
16. R. Vogelsang and C. Hoheisel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.39.6391 39, 6391 (1989).
17. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids (Academic, New York, 1986), Chaps..
18. M. Born and H. S. Green, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 190, 455 (1947).
19. M. Shimoji, Adv. Phys. ADPHAH 0001-8732 16, 705 (1967).
20. Y. Waseda, The Structure of Non-Crystalline Materials (McGraw-Hill, New York, 1980), p. 202.
21. S. Morioka, J. Non-Cryst. Solids JNCSBJ 0022-3093 10.1016/j.jnoncrysol.2004.04.022 341, 46 (2004).
22. B. J. Alder, D. M. Gass, and T. E. Wainwright, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1673845 53, 3813 (1970).
23. Y. Rosenfeld and N. W. Ashcroft, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.20.1208 20, 1208 (1979).
24. J. H. Irving and J. G. Kirkwood, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1747782 18, 817 (1950).
25. H. S. Green, The Molecular Theory of Fluids (North-Holland, Amsterdam, 1952), Chap..
26. T. L. Hill, Statistical Mechanics (McGraw-Hill, New York, 1956), p. 214.
27. S. Chapman and T. G. Cowling, The Mathematical Theory of Non-uniform Gases (Ref.), p. 283.
28. E. H. Kennard, Kinetic Theory of Gases (McGraw-Hill, New York, 1938), Chap..
29. J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids (Wiley, New York, 1954), Chap..
30. J. A. Barker and D. Henderson, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.48.587 48, 587 (1976).
31. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids (Ref.), Chap..
32. M. S. Wertheim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.10.321 10, 321 (1963);
33. W. R. Smith and D. Henderson, Mol. Phys. MOPHAM 0026-8976 19, 411 (1970).
34. J. K. Percus and G. J. Yevick, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.110.1 110, 1 (1958).
35. F. Mandel, R. J. Bearman, and M. Y. Bearman, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1673491 52, 3315 (1970).
36. L. Verlet, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.159.98 159, 98 (1967);
37. L. Verlet, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.165.201 165, 201 (1968).
38. J. L. Yarnell, M. J. Katz, R. G. Wenzel, and S. H. Koenig, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.7.2130 7, 2130 (1973).
39. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids (Ref.), Chap..
40. J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids (Ref.), Table I-M in the Appendix.
41. Y. Waseda, The Structure of Non-Crystalline Materials (Ref.), Appendix 8.
42. T. Iida and R. I. L. Guthrie, The Physical Properties of Liquid Metals, 1st ed. (Oxford University Press, New York, 1988).
43. S. M. Foiles, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.32.3409 32, 3409 (1985).
44. T. Iida, Z. Morita, and S. Takeuchi, J. Jpn. Inst. Met. NIKGAV 0021-4876 39, 1169 (1975).
45. E. Gebhardt and K. Köstlin, Z. Metallkd. ZEMTAE 0044-3093 48, 636 (1957).
46. F. Lado, S. M. Foiles, and N. W. Ashcroft, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.28.2374 28, 2374 (1983).