Long-time behavior of the velocity autocorrelation function at low densities and near the critical point of simple fluids

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

Volumn 74, Issue 1, 2006, Pages

  Dib, R F A ^a,b   Ould Kaddour, F ^a,b   Levesque, D ^b  

^a UNIVERSITY OF TLEMCEN   (Algeria)

^b UNIVERSITÉ PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FUNCTION EVALUATION; HYDRODYNAMICS; MOLECULAR DYNAMICS; NUMERICAL ANALYSIS; VELOCITY CONTROL;

FLUID PHASE; LINEARIZED HYDRODYNAMICS; MOLECULAR DYNAMICS SIMULATIONS; VELOCITY AUTOCORRELATION FUNCTION;

FLUIDS;

EID: 33746604404     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.74.011202     Document Type: Article

References (32)

1. B. J. Alder and T. E. Wainwright, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.1.18 1, 18 (1970).
2. S. Chapman and T. G. Cowling, The Mathematical Theory of Non-Uniform Gases, 3rd ed. (Cambridge University Press, Cambridge, 1970).
3. S. Chandrasekhar, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.15. 1 15, 1 (1943).
4. M. H. Ernst, E. H. Hauge, and J. M. J. van Leeuwen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.25.1254 25, 1254 (1970);
5. M. H. Ernst, E. H. Hauge, and J. M. J. van Leeuwen, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01012807 15, 7 (1970);
6. M. H. Ernst, E. H. Hauge, and J. M. J. van Leeuwen, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01012808 15, 23 (1970);
7. M. H. Ernst, E. H. Hauge, and J. M. J. van Leeuwen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.4.2055 4, 2055 (1971).
8. M. H. Ernst, e-print arXiv: cond-mat/0501638.
9. L. D. Landau and E. M. Lifshitz, Mechanics of Fluids, 2nd ed., Course of Theoretical Physics (Pergamon, New York, 1987), Vol. 6.
10. J. R. Dorfman and E. G. D. Cohen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.6.776 6, 776 (1972);
11. J. R. Dorfman and E. G. D. Cohen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.12.292 12, 292 (1975).
12. J. P. Boon and A. Bouiller, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(75)90556-3 55A, 391 (1976).
13. G. L. Paul and P. N. Pusey, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/14/12/025 14, 3301 (1981).
14. J. X. Zhu, D. J. Durian, J. Muller, D. A. Weitz, and D. J. Pine, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.2559 68, 2559 (1992).
15. M. H. Kao, A. G. Yodh, and D. J. Pine, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.242 70, 242 (1993).
16. A. Widom, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.3.1394 3, 1394 (1971).
17. R. Zwanzig and M. Bixon, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.2.2005 2, 2005 (1970);
18. R. Zwanzig and M. Bixon, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112075001280 69, 21 (1975).
19. J. Bose, W. Götze, and M. Lucke, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.20.1603 20, 1603 (1979).
20. C. Morkel, C. Gronemeyer, W. Glaser, and J. Bosse, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.1873 58, 1873 (1987).
21. A. McDonough, S. P. Russo, and I. K. Snook, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.026109 63, 026109 (2001).
22. K. Meier, A. Laesecke, and S. Kabelac, J. Chem. Phys. JCPSA6 0021-9606 12, 9526 (2004).
23. H. van Beijeren, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.54. 195 54, 195 (1982).
24. F. den Hollander, Probability and Phase Transition, edited by, G. Grimmett, Proceedings of the 1993 NATO Advanced Study Institute (Kluwer Academic Publishers, Dordrecht, 1994), p. 123.
25. Y. Pomeau, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.5.2569 5, 2569 (1972);
26. Y. Pomeau, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.7.1134 7, 1134 (1973).
27. Y. Pomeau and R. Resibois, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(75)90019-8 19, 64 (1975).
28. J. J. Erpenbeck and W. W. Wood, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.26.1648 26, 1648 (1982).
29. K. Huang, Statistical Mechanics (Wiley, New York, 1987).
30. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids (Academic Press, London, 2006).
31. F. Ould-Kaddour and D. Levesque, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.011205 63, 011205 (2001).
32. D. Levesque and W. T. Ashurst, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.33.277 33, 277 (1974).