Monte Carlo method and the nonequilibrium structure and non-Newtonian viscosity of a sheared simple liquid

Journal of Chemical Physics

Volumn 110, Issue 1, 1999, Pages 97-108

  Farhat, Hikmat ^a   Eu, Byung Chan ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002228381     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.478087     Document Type: Article

References (41)

1. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, J. Chem. Phys. 21, 1087 (1953).
2. W. W. Wood, in Physics of Simple Liquids, edited by H. N. V. Temperly, J. S. Rowlinson, and G. S. Rushbrooke (North-Holland, Amsterdam, 1968), Chap. 5;
3. in Fundamental Problems in Statistical Mechanics, edited by E. G. D. Cohen (North-Holland, Amsterdam, 1975), Vol. 3, p. 331.
4. J. P. Valleau and S. G. Whittington, in Statistical Mechanics, edited by B. J. Berne (Plenum, New York, 1977), Part A, Chap. 4.
5. M. H. Kalos and P. A. Whitlock, Monte Carlo Methods (Wiley, New York, 1986).
6. K. Binder and D. W. Heermann, Monte Carlo Simulation in Statistical Physics (Springer, Berlin, 1988).
7. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Clarendon, Oxford, 1987).
8. G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows (Clarendon, Oxford, 1994).
9. A. L. Garcia, Numerical Methods for Physics (Prentice Hall, Englewood Cliffs, New Jersey, 1994).
10. F. J. Alexander, A. L. Garcia, and B. J. Alder, Phys. Rev. Lett. 74, 5212 (1995).
11. D. Frenkel and B. Smit, Understanding Molecular Simulation (Academic, San Diego, 1996).
12. Monte Carlo and Molecular Dynamics Simulations in Polymer Science, edited by K. Binder (Clarendon, Oxford, 1995).
13. M. S. Green, J. Chem. Phys. 20, 1281 (1952);
14. 22, 398 (1954);
15. R. Kubo, J. Chem. Phys. 12, 570 (1957);
16. H. Mori, Phys. Rev. 112, 929 (1958);
17. 115, 298 (1959).
18. D. N. Zubarev, Nonequilibrium Statistical Thermodynamics (Consultant Bureau, New York, 1974).
19. B. C. Eu, J. Non-Equilib. Thermodyn. 22, 169 (1997).
20. B. C. Eu, J. Chem. Phys. 107, 222 (1997).
21. B. C. Eu, Nonequilibrium Statistical Mechanics: Ensemble Method (Kluwer, Dordrecht, 1998).
22. H. Farhat and B. C. Eu, J. Chem. Phys. 109, 10169 (1998).
23. B. C. Eu, Phys. Rev. E 51, 768 (1995).
24. B. C. Eu, J. Chem. Phys. 103, 10652 (1995).
25. W. G. Hoover, Computational Statistical Mechanics (Elsevier, Amsterdam, 1991).
26. D. J. Evans and G. P. Morriss, Comput. Phys. Rep. 1, 297 (1984);
27. Statistical Mechanics of Nonequilibrium Liquids (Academic, San Diego, 1990).
28. K. L. Chung, Markov Chains with Stationary State Probabilities (Springer, Heidelberg, 1960), Vol. 1.
29. H. H. Gan and B. C. Eu, Phys. Rev. A 43, 5706 (1991);
30. 45, 3670 (1992);
31. 46, 6344 (1992).
32. N. A. Clark and B. J. Ackerson, Phys. Lett. 44B, 1005 (1980).
33. H. J. M. Hanley, J. C. Rainwater, N. A. Clark, and B. J. Ackerson, J. Chem. Phys. 79, 4448 (1983).
34. D. Ronis, Phys. Rev. A 29, 1453 (1984).
35. F. H. Ree, T. Ree, and H. Eyring, Ind. Eng. Chem. 50, 1036 (1958).
36. For a recent review of molecular-dynamics methods applied to fluid dynamics problems and nonequilibrium phenomena, see J. Koplik and J. R. Banavar, Annu. Rev. Fluid Mech. 27, 257 (1995).
37. A. W. Lees and S. F. Edwards, J. Phys. C 5, 1921 (1972).
38. D. J. Evans, S. T. Cui, H. J. M. Hanley, and G. C. Staraty, Phys. Rev. A 46, 6731 (1992).
39. E. M. O'Toole and A. Z. Panagiotopoulos, J. Chem. Phys. 98, 3185 (1993);
40. T. Creighton, Protein Folding (Wiley, New York, 1992);
41. A. Baumgartner, in Applications of the Monte Carlo Method in Statistical Physics, edited by K. Binder (Springer, Berlin, 1984).