Application of Statistical Physics to Understand Static and Dynamic Anomalies in Liquid Water

Journal of Statistical Physics

Volumn 110, Issue 3-6, 2003, Pages 1039-1054

  Stanley, H E ^a   Buldyrev, S V ^a   Giovambattista, N ^a   La Nave, E ^a,b   Mossa, S ^a   Scala, A ^a,b   Sciortino, F ^b   Starr, F W ^c   Yamada, M ^a  

^a Boston University ^*  (United States)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

^c NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

Author keywords

High density liquid; Homogeneous nucleation; Instantaneous normal mode; Low density liquid; Mode coupling theory; Structural heterogeneities

Indexed keywords

EID: 0037274128     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022188608924     Document Type: Conference Paper

References (130)

1. P. G. Debenedetti, Metastable Liquids (Princeton University Press, Princeton, 1996).
2. P. G. Debenedetti and H. E. Stanley, The novel physics of water at low temperatures, Phys. Today (submitted).
3. M.-C. Bellissent-Funel, ed., Hydration Processes in Biology: Theoretical and Experimental Approaches (IOS Press, Amsterdam, 1999).
4. O. Mishima and H. E. Stanley, Nature 396:329 (1998).
5. P. Ball, Life's Matrix: A Biography of Water (Farrar Straus and Giroux, New York, 2000).
6. V. Brazhkin, S. V. Buldyrev, V. Ryzhov, and H. E. Stanley, eds., New Kinds of Phase Transition Phenomena, Proc. Volga River NATO Advanced Research Workshop (Kluwer, Dordrecht, 2002).
7. H. E. Stanley, J. Phys. A 12:L329 (1979).
8. H. E. Stanley and J. Teixeira, J. Chem. Phys. 73:3404 (1980).
9. A. Geiger and H. E. Stanley, Phys. Rev. Lett. 49:1749 (1982).
10. L. Bosio, J. Teixeira, and H. E. Stanley, Phys. Rev. Lett. 46:597 (1981).
11. R. L. Blumberg, H. E. Stanley, A. Geiger, and P. Mausbach, J. Chem. Phys. 80:5230 (1984).
12. E. Shiratani and M. Sasai, J. Chem. Phys. 108:3264 (1998).
13. P. H. Poole, F. Sciortino, U. Essmann, and H. E. Stanley, Nature 360:324 (1992); Phys. Rev. E 48:3799 (1993); F. Sciortino, P. H. Poole, U. Essmann, H. E. Stanley, Ibid, 55:727 (1997); S. Harrington, R. Zhang, P. H. Poole, F. Sciortino, and H. E. Stanley, Phys. Rev. Lett. 78:2409 (1997).
14. P. H. Poole, F. Sciortino, U. Essmann, and H. E. Stanley, Nature 360:324 (1992); Phys. Rev. E 48:3799 (1993); F. Sciortino, P. H. Poole, U. Essmann, H. E. Stanley, Ibid, 55:727 (1997); S. Harrington, R. Zhang, P. H. Poole, F. Sciortino, and H. E. Stanley, Phys. Rev. Lett. 78:2409 (1997).
15. P. H. Poole, F. Sciortino, U. Essmann, and H. E. Stanley, Nature 360:324 (1992); Phys. Rev. E 48:3799 (1993); F. Sciortino, P. H. Poole, U. Essmann, H. E. Stanley, Ibid, 55:727 (1997); S. Harrington, R. Zhang, P. H. Poole, F. Sciortino, and H. E. Stanley, Phys. Rev. Lett. 78:2409 (1997).
16. P. H. Poole, F. Sciortino, U. Essmann, and H. E. Stanley, Nature 360:324 (1992); Phys. Rev. E 48:3799 (1993); F. Sciortino, P. H. Poole, U. Essmann, H. E. Stanley, Ibid, 55:727 (1997); S. Harrington, R. Zhang, P. H. Poole, F. Sciortino, and H. E. Stanley, Phys. Rev. Lett. 78:2409 (1997).
17. T. Andrews, Phil. Trans. 159:575 (1869).
18. O. Mishima, H. E. Stanley, Nature 392:164 (1998).
19. O. Mishima, Phys. Rev. Lett. 85:334 (2000).
20. P. W. Bridgman, Proc. Amer. Acad. Arts Sci. 47:441 (1912).
21. L. F. Evans, J. Appl. Phys. 38:4930 (1967).
22. R. S. Smith and B. D. Kay, Nature 398:788 (1999).
23. K. P. Stevenson, G. A. Kimmel, Z. Dohnalek, R. S. Smith, and B. D. Kay, Science 283:1505 (1999).
24. M.-C. Bellissent-Funel, Europhys. Lett. 42:161 (1998).
25. M.-C. Bellissent-Funel, L. Bosio, J. Chem. Phys. 102:3727 (1995).
26. A. K. Soper and M. A. Ricci, Phys. Rev. Lett. 84:2881 (2000).
27. M. A. Ricci and A. K. Soper, Phys. A 304:43 (2002).
28. O. Mishima, J. Chem. Phys. 100:5910 (1994).
29. P. H. Poole, F. Sciortino, T. Grande, H. E. Stanley, and C. A. Angell, Phys. Rev. Lett. 73:1632 (1994).
30. C. F. Tejero and M. Baus, Phys. Rev. E 57:4821 (1998).
31. F. W. Starr, S. Sastry, E. La Nave, A. Scala, H. E. Stanley, and F. Sciortino, Phys. Rev. E 63:041201 (2001).
32. A. Scala, F. W. Starr, E. La Nave, H. E. Stanley, and F. Sciortino, Phys. Rev. E 62:8016 (2000).
33. M. Yamada, S. Mossa, H. E. Stanley, and F. Sciortino, Phys. Rev. Lett. 88:195701 (2002); cond-mat/0202094.
34. S. Sastry, P. G. Debenedetti, F. Sciortino,. and H. E. Stanley, Phys. Rev. E 53:6144 (1996).
35. H. Tanaka, J. Chem. Phys. 105:5099 (1996).
36. H. Tanaka, Nature 380:328 (1996).
37. P. A. Netz, F. W. Starr, H. E. Stanley, and M. C. Barbosa, J. Chem. Phys. 115:344 (2001).
38. F. W. Starr, C. A. Angell, and H. E. Stanley, cond-mat/9903451.
39. P. C. Hemmer and G. Stell, Phys. Rev. Lett. 24:1284 (1970).
40. G. Stell and P. C. Hemmer, J. Chem. Phys. 56:4274 (1972).
41. C. K. Hall and G. Stell, Phys. Rev. A 7:1679 (1973).
42. M. R. Sadr-Lahijany, A. Scala, S. V. Buldyrev, and H. E. Stanley, Phys. Rev. Lett. 81:4895 (1998).
43. M. R. Sadr-Lahijany, A. Scala, S. V. Buldyrev, and H. E. Stanley, Phys. Rev. E 60:6714 (1999).
44. A. Scala, M. R. Sadr-Lahijany, N. Giovambattista, S. V. Buldyrev, and H. E. Stanley, Phys. Rev. E 63:041202 (2001).
45. A. Scala, M. R. Sadr-Lahijany, N. Giovambattista, S. V. Buldyrev, and H. E. Stanley, J. Stat. Phys. 100:97 (2000).
46. E. A. Jagla, Phys. Rev. E 58:1478 (1998).
47. E. A. Jagla, J. Chem. Phys. 111:8980 (1999).
48. E. A. Jagla, Phys. Rev. E 63:061509 (2001).
49. G. Franzese, G. Malescio, A. Skibinsky, S. V. Buldyrev, and H. E. Stanley, Nature 409:692 (2001).
50. G. Malescio and G. Pellicane, Phys. Rev. E 63:020501 (2001).
51. F. H. Stillinger and T. Head-Gordon, Phys. Rev. E 47:2484 (1993).
52. F. H. Stillinger and D. K. Stillinger, Phys. A 244:358 (1997).
53. T. Head-Gordon and F. H. Stillinger, J. Chem. Phys. 98:3313 (1993).
54. N. Guisoni and V. B. Henriques, J. Chem. Phys. 115:5238 (2001).
55. S. V. Buldyrev, G. Franzese, N. Giovambattista, G. Malescio, M. R. Sadr-Lahijany, A. Scala, A. Skibinsky, and H. E. Stanley, Phys. A 304:23 (2002).
56. F. W. Starr, M.-C. Bellissent-Funel, and H. E. Stanley, Phys. Rev. E 60:1084 (1999).
57. M. Sasai, Phys. 285:315 (2000).
58. S. J. Henderson and R. J. Speedy, J. Phys. E: Scientific Instrumentation 13:778 (1980).
59. J. L. Green, D. J. Durben, G. H. Wolf, and C. A. Angell, Science 249: R649 (1990).
60. H. Tanaka, J. Chem. Phys. 105:5099 (1996).
61. P. Gallo, F. Sciortino, P. Tartaglia, and S.-H. Chen, Phys. Rev. Lett. 76:2730 (1996).
62. F. W. Starr, F. Sciortino, and H. E. Stanley, Phys. Rev. E 60:6757 (1999); F. W. Starr, S. T. Harrington, F. Sciortino, and H. E. Stanley, Phys. Rev. Lett. 82:3629 (1999).
63. F. W. Starr, F. Sciortino, and H. E. Stanley, Phys. Rev. E 60:6757 (1999); F. W. Starr, S. T. Harrington, F. Sciortino, and H. E. Stanley, Phys. Rev. Lett. 82:3629 (1999).
64. J. R. Errington and P. G. Debenedetti, Nature 409:318 (2001).
65. I. I. Vaisman, L. Perera, and M. L. Berkovitz, J. Chem. Phys. 98:9859 (1993).
66. M. W. Mahoney and W. L. Jorgensen, J. Chem. Phys. 112:8910 (2000); Ibid. 114:363 (2001).
67. M. W. Mahoney and W. L. Jorgensen, J. Chem. Phys. 112:8910 (2000); Ibid. 114:363 (2001).
68. F. H. Stillinger and A. Rahman, J. Chem. Phys. 60:1545 (1974).
69. J. M. Sorenson, G. Hura, R. M. Glaeser, and T. Head-Gordon, J. Chem. Phys. 113:9149 (2000).
70. P. A. Netz, F. W. Starr, H. E. Stanley, and M. C. Barbosa, J. Chem. Phys. 115:344 (2001); cond-mat/0102196; P. A. Netz, F. W. Starr, H. E. Stanley, and M. C. Barbosa, cond-mat/0201130; P. A. Netz, F. Starr, M. C. Barbosa, and H. E. Stanley, cond-mat/0201138.
71. P. A. Netz, F. W. Starr, H. E. Stanley, and M. C. Barbosa, J. Chem. Phys. 115:344 (2001); cond-mat/0102196; P. A. Netz, F. W. Starr, H. E. Stanley, and M. C. Barbosa, cond-mat/0201130; P. A. Netz, F. Starr, M. C. Barbosa, and H. E. Stanley, cond-mat/0201138.
72. P. A. Netz, F. W. Starr, H. E. Stanley, and M. C. Barbosa, J. Chem. Phys. 115:344 (2001); cond-mat/0102196; P. A. Netz, F. W. Starr, H. E. Stanley, and M. C. Barbosa, cond-mat/0201130; P. A. Netz, F. Starr, M. C. Barbosa, and H. E. Stanley, cond-mat/0201138.
73. P. H. Poole, M. Hemmati, and C. A. Angell, Phys. Rev. Lett. 79:2281 (1997).
74. I. Saika-Voivod, F. Sciortino, and P. H. Poole, Phys. Rev. E 63:011202 (2001).
75. E. G. Ponyatovskii, JETP Lett. 66:281 (1997).
76. E. G. Ponyatovskii and O. I. Bakalov, Mater. Sci. Rep. 8:147 (1992).
77. M. Togaya, Phys. Rev. Lett. 79:2474 (1997).
78. J. Glosli and F. H. Ree, Phys. Rev. Lett. 82:4659 (1999).
79. S. Sastry and C. A. Angell (2002) preprint.
80. Y. Katayama, T. Mizutani, W. Utsumi, O. Shimomure, M. Yamakata, and K.-I. Funakoshi, Nature 403:170 (2000).
81. G. Ruocco et al., (2002) preprint.
82. C. A. Angell, (private communication) has pointed out that the fact that the low density liquid phase of phosphorus that participates in a liquid-liquid equilibrium contains tetrahedral molecules, is not of as much significance as originally hoped, There are no third neighbor correlations in P4 phosphorus, which is more like carbon tetrachloride than water in its behavior. The liquid-liquid phase transition line in the phase diagram runs vertical to the P axis, instead of nearly horizontal as in the case of water, and the liquid-liquid equilibrium is due to electron redistribution (i.e., chemical bonding changes) rather than molecular packing changes as in the case of water. Such equilibria will likely be found in the future in many cases of molecular liquids subjected to high pressure (simply because polymerized forms occupy less volume) - and molecular shapes in the low pressure phase will be found to be a minor factor. We thank C. A. Angell for sharing his observations with us.
83. C. A. Angell, R. D. Bresel. M. Hemmati, E. J. Sare, and J. C. Tucker, Phys. Chem. Phys. 2:1559 (2000).
84. S. Sastry, P. G. Debenedetti, and F. H. Stillinger, Nature 393:554 (1998).
85. F. Sette, M. H. Krish, C. Masciovecchio, G. Ruocco, and G. Monaco, Science 280:1550 (1998).
86. P. Lunkenheimer, A. Pimenov, and A. Loidl, Phys. Rev. Lett. 78:2995 (1997).
87. W. Götze, J. Phys.: Cond. Mat. 11:A1 (1999).
88. K. Binder et al., in Complex Behavior of Glassy Systems, M. Rubí and C. Perez-Vicente, eds. (Springer, Berlin, 1997).
89. W. Kob, J. Phys.: Cond. Mat. 11:R85 (1999).
90. M. Mézard and G. Parisi, J. Phys.: Cond. Mat. 11:A157 (1999).
91. R. Speedy, J. Chem. Phys. 110:54559 (1999).
92. R. Speedy, J. Chem. Phys. B 103:4060 (1999).
93. M. Shultz, Phys. Rev. B 57:11319 (1998).
94. D. C. Wallace, Phys. Rev. E 56:4179 (1997).
95. P. G. Debenedetti and F. H. Stillinger, Nature 410:259 (2001).
96. I. Saika-Voivod, P. H. Poole and F. Sciortino, Nature 412:514 (2001).
97. S. Sastry, Nature 409:164 (2001).
98. F. H. Stillinger and T. A. Weber, Phys. Rev. A 28:2408 (1983).
99. R. O. Davies and G. O. Jones, Adv. in Phys. 2:370 (1953).
100. M. Goldstein, J. Chem. Phys. 51:3728 (1969).
101. T. Keyes, J. Phys. Chem. A 101:2921 (1997).
102. W. Li and T. Keyes, J. Chem. Phys. 111:5503 (1999).
103. T. Keyes, J. Chem. Phys. 101:5081 (1994).
104. J. D. Gezelter, E. Rabani, and B. J. Berne, J. Chem. Phys. 107:4618 (1997).
105. E. La Nave, A. Scala, F. W. Starr, H. E. Stanley, and F. Sciortino, Phys. Rev. E 64:036102 (2001).
106. S. Bembenek and B. Laird, Phys. Rev. Lett. 74:936 (1995).
107. W. Li, T. Keyes, and F. Sciortino, J. Chem. Phys. 108:252 (1998).
108. E. La Nave, A. Scala, F. W. Starr, F. Sciortino, and H. E. Stanley, Phys. Rev. Lett. 84:4605 (2000).
109. E. La Nave, H. E. Stanley, and F. Sciortino, Phys. Rev. Lett. 88:035501 (2002).
110. L. Angelani, G. Ruocco, A. Scala, and F. Sciortino, Phys. Rev. Lett. 85:5356 (2000).
111. M. Sasai, Proc. International Conference on Slow Dynamics and Glass Transition (Bangalore, India, 6-10 January 2002).
112. F. Sciortino and P. Tartaglia, Phys. Rev. Lett. 78:2385 (1997).
113. L. Angelani, R. Di Leonardo, G. Ruocco, A. Scala, and F. Sciortino, Phys. Rev. Lett. 85:5356 (2000).
114. T. Keyes, Phys. Rev. E 62:7905 (2000).
115. G. Adam and J. H. Gibbs, J. Chem. Phys. 43:139 (1965).
116. T. B. Schrøder, S. Sastry, J. C. Dyre, and S. C. Glotzer, J. Chem. Phys. 112:9834 (2000).
117. A. Heuer, Phys. Rev. Lett. 78:4051 (1997).
118. F. Sciortino, W. Kob, and P. Tartaglia, Phys. Rev. Lett. 83:3214 (1999).
119. A. Scala, F. W. Starr, E. La Nave, F. Sciortino, and H. E. Stanley, Nature 406:166 (2000).
120. I. Ohmine and H. Tanaka, Chem. Rev. 93:2545 (1993).
121. N. Giovambattista, F. W. Starr, F. Sciortino, S. V. Buldyrev, and H. E. Stanley, Phys. Rev. E 65:041502 (2002).
122. H. J. C. Berendsen, J. R. Grigera, and T. P. Straatsma, J. Phys. Chem. 91:6269 (1987).
123. M. Hurley and P. Harrowell, Phys. Rev. E 52:1694 (1995).
124. W. Kob, C. Donati, S. J. Plimpton, P. H. Poole, and S. C. Glotzer, Phys. Rev. Lett. 79:2827 (1997).
125. C. Donati, J. F. Douglas, W. Kob, S. J. Plimpton, P. H. Poole, and S. C. Glotzer, Phys. Rev. Lett. 80:2338 (1998).
126. B. Doliwa and A. Heuer, Phys. Rev. Lett. 80:4915 (1998).
127. I. Ohmine and S. Saito, Acc. Chem. Res. 32:741 (1999).
128. F. Sciortino, A. Geiger, and H. E. Stanley, Nature 354:218 (1991).
129. F. Sciortino, A. Geiger, and H. E. Stanley, J. Chem. Phys. 96:3857 (1992).
130. J. C. Dyre, Phys. Rev. E 59:2458 (1999).