Transport properties of normal liquid helium: Comparison of various methodologies

Journal of Chemical Physics

Volumn 123, Issue 18, 2005, Pages

  Rabani, Eran ^a   Krilov, Goran ^b,c   Reichman, David R ^b   Berne, B J ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b Och Spine at New York Presbyterian Hospitals   (United States)

^c BOSTON COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AUTOCORRELATION; LIQUID HELIUM; QUANTUM SYSTEMS; SELF-DICCUSION;

CORRELATION METHODS; FUNCTIONS; MOLECULAR DYNAMICS; PHASE TRANSITIONS; QUANTUM THEORY; TRANSPORT PROPERTIES;

HELIUM;

EID: 27644439892     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2109927     Document Type: Article

References (92)

1. D. Forster, Hydrodynamics, Fluctuations, Broken Symmetry, and Correlation Functions (Addison-Wesley, New York, 1990).
2. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Oxford University Press, Oxford, 1987).
3. D. Frenkel and B. Smit, Understanding Molecular Simulations: Algorithms and Applications (Academic, San Diego, 2002).
4. J. C. Tully, Annu. Rev. Phys. Chem. 31, 319 (1980).
5. E. J. Heller, Acc. Chem. Res. 14, 268 (1981).
6. W. H. Miller, Science 233, 171 (1986).
7. R. B. Gerber and M. A. Ratner, Adv. Chem. Phys. 74, 97 (1988).
8. D. F. Coker, in Computer Simulation in Chemical Physics, edited by, M. P. Allen, and, D. J. Tildesley, (Kluwer Academic, Dordrecht, 1993), p. 315.
9. M. F. Herman, Annu. Rev. Phys. Chem. 45, 83 (1994).
10. M. Jarrell and J. E. Gubernatis, Phys. Rep. 269, 134 (1996).
11. G. A. Voth, Adv. Chem. Phys. 93, 135 (1996).
12. S. A. Egorov, E. Rabani, and B. J. Berne, J. Phys. Chem. B 103, 10978 (1999).
13. N. Makri, Annu. Rev. Phys. Chem. 50, 167 (1999).
14. G. Krilov, E. Sim, and B. J. Berne, Chem. Phys. 268, 21 (2001).
15. W. H. Miller, J. Phys. Chem. A 105, 2942 (2001).
16. E. Rabani and D. R. Reichman, Annu. Rev. Phys. Chem. 56, 157 (2005).
17. J. Cao and G. A. Voth, J. Chem. Phys. 100, 5106 (1994).
18. S. Jang and G. A. Voth, J. Chem. Phys. 111, 2371 (1999).
19. S. J. Jang and G. A. Voth, J. Chem. Phys. 111, 2357 (1999).
20. P. N. Roy and G. A. Voth, J. Chem. Phys. 110, 3647 (1999).
21. P. N. Roy, S. J. Jang, and G. A. Voth, J. Chem. Phys. 111, 5303 (1999).
22. K. Kinugawa, Chem. Phys. Lett. 292, 454 (1998).
23. F. J. Bermejo, K. Kinugawa, C. Cabrillo, S. M. Bennington, B. Fak, M. T. Fernandez-Diaz, P. Verkerk, J. Dawidowski, and R. Fernandez-Perea, Phys. Rev. Lett. 84, 5359 (2000).
24. D. R. Reichman, P. N. Roy, S. Jang, and G. A. Voth, J. Chem. Phys. 113, 919 (2000).
25. E. Geva, Q. Shi, and G. A. Voth, J. Chem. Phys. 115, 9209 (2001).
26. N. Blinov and P. N. Roy, J. Chem. Phys. 115, 7822 (2001).
27. Q. Shi and E. Geva, J. Chem. Phys. 118, 8173 (2003).
28. Q. Shi and E. Geva, J. Chem. Phys. 119, 9030 (2003).
29. I. R. Craig and D. E. Manolopoulos, J. Chem. Phys. 121, 3368 (2004).
30. I. R. Craig and D. E. Manolopoulos, J. Chem. Phys. 122, 084106 (2005).
31. T. D. Hone and G. A. Voth, J. Chem. Phys. 121, 6412 (2004).
32. A. Nakayama and N. Makri, Proc. Natl. Acad. Sci. U.S.A. 102, 4230 (2005).
33. F. J. Webster, P. J. Rossky, and R. A. Friesner, Comput. Phys. Commun. 63, 494 (1991).
34. F. J. Webster, J. Schnitker, M. S. Friedrichs, R. A. Friesner, and P. J. Rossky, Phys. Rev. Lett. 66, 3172 (1991).
35. E. J. Heller, J. Chem. Phys. 65, 1289 (1976).
36. X. Sun, H. B. Wang, and W. H. Miller, J. Chem. Phys. 109, 7064 (1998).
37. X. Sun and W. H. Miller, J. Chem. Phys. 110, 6635 (1999).
38. H. B. Wang, M. Thoss, and W. H. Miller, J. Chem. Phys. 112, 47 (2000).
39. K. Thompson and N. Makri, J. Chem. Phys. 110, 1343 (1999).
40. N. Makri, J. Phys. Chem. A 108, 806 (2004).
41. J. A. Poulsen, G. Nyman, and P. J. Rossky, J. Chem. Phys. 119, 12179 (2003).
42. L. S. Schulman, Techniques and Applications of Path Integration (Wiley, New York, 1981).
43. S. S. Zhang and E. Pollak, J. Chem. Phys. 119, 11058 (2003).
44. A. A. Golosov and D. R. Reichman, J. Chem. Phys. 114, 1065 (2001).
45. E. Rabani and D. R. Reichman, Phys. Rev. E 65, 036111 (2002).
46. D. R. Reichman and E. Rabani, Phys. Rev. Lett. 87, 265702 (2001).
47. E. Rabani and D. R. Reichman, J. Chem. Phys. 116, 6271 (2002).
48. D. R. Reichman and E. Rabani, J. Chem. Phys. 116, 6279 (2002).
49. E. Rabani and D. R. Reichman, Europhys. Lett. 60, 656 (2002).
50. E. Rabani, AIP Conf. Proc. 690, 281 (2003).
51. E. Rabani and D. R. Reichman, J. Chem. Phys. 120, 1458 (2004).
52. E. Rabani, K. Miyazaki, and D. R. Reichman, J. Chem. Phys. 122, 034502 (2005).
53. E. Rabani and D. R. Reichman, J. Phys. Chem. B 105, 6550 (2001).
54. G. D. Mahan, Many-Particle Physics (Plenum, New York, 2000).
55. A. L. Fetter and J. D. Walecka, Quantum Theory of Many Particle Systems (McGraw-Hill, New York, 1971).
56. J. W. Negele and H. Orland, Quantum Many-Particle Systems (Addison-Wesley, New York, 1992).
57. T. Van Voorhis and D. R. Reichman, J. Chem. Phys. 120, 579 (2004).
58. T. Frabisch, M. Fuchs, W. W. Götze, and A. P. Singh, Phys. Rev. E 56, 5659 (1997).
59. S. H. Chong and F. Hirata, Phys. Rev. E 58, 7296 (1998).
60. U. Balucani and M. Zoppi, Dynamics of the Liquid State (Oxford, New York, 1994).
61. J. P. Boon and S. Yip, Molecular Hydrodynamics (McGraw-Hill, New York, 1980).
62. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids (Academic, San Diego, 1986).
63. J. E. Gubernatis, M. Jarrell, R. N. Silver, and D. S. Silvia, Phys. Rev. B 44, 6011 (1991).
64. C. E. Creffield, E. G. Klepfish, E. R. Pike, and S. Sarkar, Phys. Rev. Lett. 75, 517 (1995).
65. E. Gallicchio and B. J. Berne, J. Chem. Phys. 101, 9909 (1994).
66. E. Gallicchio and B. J. Berne, J. Chem. Phys. 105, 7064 (1996).
67. M. Boninsegni and D. M. Ceperley, J. Low Temp. Phys. 104, 339 (1996).
68. D. Kim, J. D. Doll, and D. L. Freeman, J. Chem. Phys. 108, 3871 (1998).
69. S. A. Egorov, E. Gallicchio, and B. J. Berne, J. Chem. Phys. 107, 9312 (1997).
70. E. Gallicchio, S. A. Egorov, and B. J. Berne, J. Chem. Phys. 109, 7745 (1998).
71. E. Rabani, G. Krilov, and B. J. Berne, J. Chem. Phys. 112, 2605 (2000).
72. E. Sim, G. Krilov, and B. J. Berne, J. Phys. Chem. A 105, 2824 (2001).
73. E. Rabani, D. R. Reichman, G. Krilov, and B. J. Berne, Proc. Natl. Acad. Sci. U.S.A. 99, 1129 (2002).
74. A. A. Golosov, D. R. Reichman, and E. Rabani, J. Chem. Phys. 118, 457 (2003).
75. D. Kim, J. D. Doll, and J. E. Gubernatis, J. Chem. Phys. 106, 1641 (1997).
76. D. M. Ceperley, Rev. Mod. Phys. 67, 279 (1995).
77. J. A. Poulsen, G. Nyman, and P. J. Rossky, J. Phys. Chem. B 108, 19799 (2004).
78. R. Zwanzig, Lectures in Theoretical Physics (Wiley, New York, 1961), Vol. III, p. 135.
79. H. Mori, Prog. Theor. Phys. 33, 423 (1965).
80. H. Mori, Prog. Theor. Phys. 34, 399 (1965).
81. B. J. Berne and G. D. Harp, Adv. Chem. Phys. 17, 63 (1970).
82. R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II, Springer Series in Solid-State Sciences, 2nd ed. (Springer, Berlin, 1995).
83. D. B. Woods, E. C. Svensson, and P. Martel, Can. J. Phys. 56, 302 (1978).
84. B. J. Berne, J. Stat. Phys. 43, 911 (1986).
85. B. J. Berne and D. Thirumalai, Annu. Rev. Phys. Chem. 37, 401 (1986).
86. Maximum Entropy and Bayesian Methods, edited by, J. Skilling, (Kluwer, Cambridge, England, 1989).
87. C. L. Lawson and R. J. Hanson, Solving Least Squares Problems (Society for Industrial and Applied Mathematics, Philadelphia, 1995).
88. S. Miura, S. Okazaki, and K. Kinugawa, J. Chem. Phys. 110, 4523 (1999).
89. J. A. Poulsen, G. Nyman, and P. J. Rossky, J. Phys. Chem. A 108, 8743 (2004).
90. E. L. Pollock and D. M. Ceperley, Phys. Rev. B 30, 2555 (1984).
91. R. A. Aziz, M. J. Slaman, A. Koide, A. R. Allnatt, and W. J. Meath, Mol. Phys. 77, 321 (1992).
92. N. Makri (unpublished).