On the mode-coupling treatment of collective density fluctuations for quantum liquids: Para-hydrogen and normal liquid helium

Journal of Chemical Physics

Volumn 134, Issue 4, 2011, Pages

  Kletenik Edelman, Orly ^a   Reichman, David R ^b   Rabani, Eran ^a  

^a TEL AVIV UNIVERSITY   (Israel)

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

Author keywords

[No Author keywords available]

Indexed keywords

BOLTZMANN STATISTICS; DENSITY FLUCTUATION; IDEAL GAS; IMAGINARY-TIME DATA; KINETIC APPROACH; LIQUID HELIUM; LONG-TIME DYNAMICS; MODE COUPLING; MODE COUPLING THEORY; PARA-HYDROGEN; PATH INTEGRAL MONTE CARLO SIMULATIONS; QUANTUM LIQUIDS; SEMI-QUANTITATIVE; TRIPLE POINTS;

COMPUTER SIMULATION; DYNAMIC RESPONSE; HYDROGEN; LIQUIDS; MONTE CARLO METHODS; SUPERFLUID HELIUM;

DENSITY OF LIQUIDS;

EID: 79551598529     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3521478     Document Type: Article

References (77)

1. P. J. Rossky and J. D. Simon, Nature (London) 370, 263 (1994). 10.1038/370263a0 (Pubitemid 24250114)
2. G. A. Voth, Adv. Chem. Phys. XCIII, 135 (1996). 10.1002/9780470141526.ch4
3. N. Makri, Annu. Rev. Phys. Chem. 50, 167 (1999). 10.1146/annurev. physchem.50.1.167
4. S. A. Egorov, E. Rabani, and B. J. Berne, J. Phys. Chem. B 103, 10978 (1999). 10.1021/jp9921349
5. J. C. Tully, in Classical and Quantum Dynamics in Condensed Phase Simulations, edited by, B. J. Berne, G. Ciccotti, and, D. F. Coker, (World Scientific, Singapore, 1998), p. 489.
6. S. Hammes-Schiffer and S. R. Billeter, Int. Rev. Phys. Chem. 20, 591 (2001). 10.1080/01442350110067402 (Pubitemid 33134708)
7. G. Krilov, E. Sim, and B. J. Berne, Chem. Phys. 268, 21 (2001). 10.1016/S0301-0104(01)00287-7 (Pubitemid 32525886)
8. W. H. Miller, J. Phys. Chem. A 105, 2942 (2001). 10.1021/jp003712k (Pubitemid 35373060)
9. I. R. Craig and D. E. Manolopoulos, J. Chem. Phys. 121, 3368 (2004). 10.1063/1.1777575
10. M. Thoss and H. B. Wang, Annu. Rev. Phys. Chem. 55, 299 (2004). 10.1146/annurev.physchem.55.091602.094429
11. E. Rabani and D. R. Reichman, Annu. Rev. Phys. Chem. 56, 157 (2005). 10.1146/annurev.physchem.56.092503.141138 (Pubitemid 41156876)
12. R. Kapral, Annu. Rev. Phys. Chem. 57, 129 (2006). 10.1146/annurev. physchem.57.032905.104702
13. G. Hanna and R. Kapral, Acc. Chem. Res. 39, 21 (2006). 10.1021/ar030281q
14. W. R. Duncan and O. V. Prezhdo, Annu. Rev. Phys. Chem. 58, 143 (2007). 10.1146/annurev.physchem.58.052306.144054 (Pubitemid 46877588)
15. W. Gtze and M. Lcke, Phys. Rev. B 13, 3822 (1976). 10.1103/PhysRevB.13. 3822
16. W. Gtze and M. Lcke, Phys. Rev. B 13, 3825 (1976). 10.1103/PhysRevB.13. 3825
17. L. Sjgren and A. Sjlander, J. Phys. C 12, 4369 (1979). 10.1088/0022-3719/12/21/005
18. L. Sjgren, Phys. Rev. A 22, 2866 (1980). 10.1103/PhysRevA.22.2866
19. L. Sjgren, Phys. Rev. A 22, 2883 (1980). 10.1103/PhysRevA.22.2883
20. E. Rabani and D. R. Reichman, J. Phys. Chem. B 105, 6550 (2001). 10.1021/jp004419n (Pubitemid 35339023)
21. E. Rabani, G. Krilov, D. R. Reichman, and B. J. Berne, J. Chem. Phys. 123, 184506 (2005). 10.1063/1.2109927 (Pubitemid 41580116)
22. D. R. Reichman and E. Rabani, Phys. Rev. Lett. 87, 265702 (2001). 10.1103/PhysRevLett.87.265702
23. E. Rabani, D. R. Reichman, G. Krilov, and B. J. Berne, Proc. Natl. Acad. Sci. U.S.A. 99, 1129 (2002). 10.1073/pnas.261540698 (Pubitemid 34136458)
24. E. Rabani and D. R. Reichman, Europhys. Lett. 60, 656 (2002). 10.1209/epl/i2002-00359-2
25. E. Rabani and D. R. Reichman, J. Chem. Phys. 120, 1458 (2004). 10.1063/1.1631436
26. F. J. Bermejo, F. J. Mompean, M. Garciahernandez, J. L. Martinez, D. Martinmarero, A. Chahid, G. Senger, and M. L. Ristig, Phys. Rev. B 47, 15097 (1993). 10.1103/PhysRevB.47.15097
27. M. Zoppi, U. Bafile, E. Guarini, F. Barocchi, R. Magli, and M. Neumann, Phys. Rev. Lett. 75, 1779 (1995). 10.1103/PhysRevLett.75.1779
28. M. Mukherjee, F. J. Bermejo, B. Fak, and S. M. Bennington, Europhys. Lett. 40, 153 (1997). 10.1209/epl/i1997-00438-4
29. E. Rabani and D. R. Reichman, Phys. Rev. E 65, 036111 (2002). 10.1103/PhysRevE.65.036111 (Pubitemid 40619202)
30. E. Rabani and D. R. Reichman, J. Chem. Phys. 116, 6271 (2002). 10.1063/1.1458545 (Pubitemid 34476582)
31. D. R. Reichman and E. Rabani, J. Chem. Phys. 116, 6279 (2002). 10.1063/1.1458546 (Pubitemid 34476583)
32. Y. Yonetani and K. Kinugawa, J. Chem. Phys. 120, 10624 (2004). 10.1063/1.1735613
33. J. Liu and W. H. Miller, J. Chem. Phys. 128, 144511 (2008). 10.1063/1.2889945 (Pubitemid 351537181)
34. M. Zoppi, L. Ulivi, M. Santoro, M. Moraldi, and F. Barocchi, Phys. Rev. A 53, R1935 (1996). 10.1103/PhysRevA.53.R1935
35. F. J. Bermejo, B. Fak, S. M. Bennington, R. Fernandez-Perea, C. Cabrillo, J. Dawidowski, M. T. Fernandez-Diaz, and P. Verkerk, Phys. Rev B 60, 15154 (1999). 10.1103/PhysRevB.60.15154
36. 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). 10.1103/PhysRevLett.84.5359
37. M. Zoppi, D. Colognesi, and M. Celli, Europhys. Lett. 53, 39 (2001). 10.1209/epl/i2001-00120-y (Pubitemid 33216689)
38. M. Celli, D. Colognesi, and M. Zoppi, Phys. Rev. E 66, 021202 (2002) 10.1103/PhysRevE.66.021202. (Pubitemid 40629583)
39. D. Colognesi, M. Celli, M. Neumann, and M. Zoppi, Phys. Rev. E 70, 061202 (2004). 10.1103/PhysRevE.70.061202 (Pubitemid 40213907)
40. E. Rabani, K. Miyazaki, and D. R. Reichman, J. Chem. Phys. 122, 034502 (2005). 10.1063/1.1832593 (Pubitemid 41055361)
41. T. E. Markland, J. A. Morrone, B. J. Berne, K. Miyazaki, E. Rabani, and D. R. Reichman, Quantum fluctuations can promote or inhibit glass formation., Nat. Phys. (in press).
42. M. Pavese and G. A. Voth, Chem. Phys. Lett. 249, 231 (1996). 10.1016/0009-2614(95)01378-4
43. Y. Y. K. Kinugawa, J. Chem. Phys. 119, 9651 (2003). 10.1063/1.1616912
44. T. D. Hone and G. A. Voth, J. Chem. Phys. 121, 6412 (2004). 10.1063/1.1780951
45. J. A. Poulsen, G. Nyman, and P. J. Rossky, J. Phys. Chem. A 108, 8743 (2004). 10.1021/jp049281d
46. J. A. Poulsen, G. Nyman, and P. J. Rossky, J. Phys. Chem. B 108, 19799 (2004). 10.1021/jp040425y (Pubitemid 40079477)
47. D. M. Ceperley, Rev. Mod. Phys. 67, 279 (1995). 10.1103/RevModPhys.67.279
48. M. Boninsegni and D. M. Ceperley, J. Low Temp. Phys. 104, 339 (1996). 10.1007/BF00751861
49. S. Miura, S. Okazaki, and K. Kinugawa, J. Chem. Phys. 110, 4523 (1999). 10.1063/1.478355
50. A. Nakayama and N. Makri, Proc. Natl. Acad. Sci. U.S.A. 102, 4230 (2005). 10.1073/pnas.0501127102 (Pubitemid 40397094)
51. T. F. Miller and D. E. Manolopoulos, J. Chem. Phys. 122, 184503 (2005). 10.1063/1.1893956 (Pubitemid 40682828)
52. T. D. Hone, P. J. Rossky, and G. A. Voth, J. Chem. Phys. 124, 154103 (2006). 10.1063/1.2186636
53. T. D. Hone, J. A. Poulsen, P. J. Rossky, and D. E. Manolopoulos, J. Phys. Chem. B 112, 294 (2008). 10.1021/jp075022n (Pubitemid 351184602)
54. A. Perez, M. E. Tuckerman, and M. H. Mser, J. Chem. Phys. 130, 184105 (2009). 10.1063/1.3126950
55. B. J. Berne and D. Thirumalai, Annu. Rev. Phys. Chem. 37, 401 (1986). 10.1146/annurev.pc.37.100186.002153
56. J. S. Thakur and K. N. Pathak, in International Centre for Theoretical Physics, Publication IC/82/2 (Trieste, 1986).
57. U. Balucani and M. Zoppi, Dynamics of the Liquid State (Oxford University Press, New York, 1994).
58. J. P. Boon and S. Yip, Molecular Hydrodynamics (McGraw-Hill, New York, 1980).
59. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids (Academic, San Diego, 1986).
60. S. H. Chong and F. Hirata, Phys. Rev. E 58, 7296 (1998). 10.1103/PhysRevE.58.7296
61. G. Arfken, Mathematical Methods for Physicists (Academic, New York, 1985).
62. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C (Cambridge University Press, Cambridge, 1988).
63. H. W. Jackson and E. Feenberg, Rev. Mod. Phys. 34, 686 (1962). 10.1103/RevModPhys.34.686
64. K. Kinugawa, Chem. Phys. Lett. 292, 454 (1998). 10.1016/S0009-2614(98) 00703-9
65. M. Zoppi, M. Neumann, and M. Celli, Phys. Rev. B 65, 092204 (2002). 10.1103/PhysRevB.65.092204
66. B. J. Ka and G. A. Voth, J. Phys. Chem. A 109, 11609 (2005). 10.1021/jp053919j (Pubitemid 43084718)
67. S. Habershon, B. J. Braams, and D. E. Manolopoulos, J. Chem. Phys. 127, 174108 (2007). 10.1063/1.2786451 (Pubitemid 350075516)
68. J. Liu and W. H. Miller, J. Chem. Phys. 129, 124111 (2008). 10.1063/1.2981065
69. D. R. Reichman and E. Rabani, J. Chem. Phys. 131, 054502 (2009). 10.1063/1.3185728
70. O. Kletenik-Edelman, E. Rabani, and D. R. Reichman, Chem. Phys. 370, 132 (2010). 10.1016/j.chemphys.2010.01.012
71. D. Scharf, G. Martyna, and M. L. Klein, J. Low. Temp. Phys. 19, 365 (1993).
72. I. F. Silvera and V. V. Goldman, J. Chem. Phys. 69, 4209 (1978). 10.1063/1.437103
73. I. F. Silvera, Rev. Mod. Phys. 52, 393 (1980). 10.1103/RevModPhys.52.393
74. R. A. Aziz, M. J. Slaman, A. Koide, A. R. Allnatt, and W. J. Meath, Mol. Phys. 77, 321 (1992). 10.1080/00268979200102471
75. E. L. Pollock and D. M. Ceperley, Phys. Rev. B 30, 2555 (1984). 10.1103/PhysRevB.30.2555
76. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Oxford University Press, New York, 1987).
77. D. B. Woods, E. C. Svensson, and P. Martel, Can. J. Phys. 56, 302 (1978).