Abstract
Although H2O has been the topic of considerable research since the beginning of the century, the peculiar physical properties are still not well understood. First we discuss some of the anomalies of this ‘complex fluid’. Then we describe a qualitative interpretation in terms of percolation concepts. Finally, we discuss recent experiments and simulations relating to the hyothesis that, in addition to the known critical point in water, there exists a ‘second’ critical point at low temperatures. In particular, we discuss very recent measurements of the compression-induced melting and decompression-induced melting lines of high-pressure forms of ice. We show how knowledge of these lines enables one to obtain an approximation for the Gibbs potential G(P, T) and the equation of state V(P,T) for water, both of which are consistent with the possible continuity of liquid water and the amorphous forms of solid water.
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References
P G Debenedetti, Metastable Liquids (Princeton University Press, Princeton, 1996)
J T Fourkas, D Kivelson, U Mohanty and K A Nelson (eds), Supercooled Liquids: Advances and Novel Applications (ACS Books, Washington DC, 1997)
J C Dore and J Teixeira, Hydrogen-Bonded Liquids (Kluwer Academic Publishers, Dordrecht, 1991)
S H Chen and J Teixeira, Adv. Chem. Phys. 64, 1 (1985)
M C Bellissent-Funel and J C Dore, Hydrogen Bond Networks (Kluwer Academic Publishers, Dordrecht, 1994)
O Mishima and H E Stanley, Nature, 396, 329 (1998)
P Ball, Water: A Biography (Farrah Strauss, New York, 1999)
R S Smith and B D Kay, Nature 398, 788 (1999)
K P Stevenson, G A Kimmel, Z Dohnalek, R S Smith, and B D Kay, Science, 283, 1505 (1999)
C A Angell, in Water: A Comprehensive Treatise, edited by F. Franks (Plenum Press, NY, 1980) Vol. 7, p. 1
R Waller, trans., Essays of Natural Experiments [original in Italian by the Secretary of the Academie del Cimento]. Facsimile of 1684 English translation (Johnson Reprint Corporation, New York, 1964)
H E Stanley, J. Phys. A12, L329 (1979).
H E Stanley and J Teixeira, J. Chem. Phys. 73, 3404 (1980)
H E Stanley, J Teixeira, A Geiger and R L Blumberg, Physica A106, 260 (1981)
A Geiger and H E Stanley, Phys. Rev. Lett. 49, 1749 (1982)
H E Stanley, R L Blumberg and A Geiger, Phys. Rev. B28, 1626 (1983)
H E Stanley, R L Blumberg, A Geiger, P Mausbach and J Teixeira, J. de Physique 45, C7[3] (1984)
L Bosio, J Teixeira and H E Stanley, Phys. Rev. Lett. 46, 597 (1981)
Y Xie, K F Ludwig, Jr., G Morales, D E Hare and C M Sorensen, Phys. Rev. Lett. 71, 2050 (1993)
C A Angell, M Oguni, and W J Sichina, J. Phys. Chem. 86, 998 (1982)
A Giacomini, J. Acoustical Soc. Am. 19, 701 (1947)
G W Willard, J. Acoustical Soc. Am. 19, 235 (1947)
R L Blumberg, H E Stanley, A Geiger and P Mausbach, J. Chem. Phys. 80, 5230 (1984)
E Shiratani and M Sasai, J. Chem. Phys. 104, 7671 (1996).
P H Poole, F Sciortino, U Essmann and H E Stanley, Nature 360, 324 (1992)
K Mendelssohn, The Quest for Absolute Zero: The Meaning of Low-Temperature Physics (McGraw, New York, 1966), p. 42ff.
P H Poole, F Sciortino, T Grande, H E Stanley and C A Angell, Phys. Rev. Lett. 73, 1632 (1994)
C F Tejero and M Baus, Phys. Rev. E57, 4821 (1998)
S Sastry, F Sciortino and H E Stanley, J. Chem. Phys. 98, 9863 (1993)
S S Borick, P G Debenedetti and S Sastry, J. Phys. Chem. 99, 3781 (1995)
S S Borick and P G Debenedetti, J. Phys. Chem. 97, 6292 (1993)
R J Speedy, J. Phys. Chem. 86, 3002 (1982)
E G Ponyatovskii, V V Sinitsyn and T A Pozdnyakova, JETP Lett. 60, 360 (1994)
C J Roberts and P G Debenedetti, J. Chem. Phys. 105, 658 (1996)
C J Roberts, A Z Panagiotopoulos and P G Debenedetti, Phys. Rev. Lett. 77, 4386 (1996)
F H Stillinger and A Rahman, J. Chem. Phys. 57, 1281 (1972)
F W Starr, J K Nielsen and H E Stanley, Phys. Rev. Lett. 82, 2294 (1999)
W L Jorgensen, J Chandrasekhar, J Madura, R W Impey and M Klein, J. Chem. Phys. 79, 926 (1983)
H J C Berendsen, J R Grigera and T P Straatsma, J. Phys. Chem. 91, 6269 (1987)
U Niesar, G Corongiu, E Clementi, G R Kneller and D Bhattacharya, J. Phys. Chem. 94, 7949 (1990)
F Sciortino, P H Poole, U Essmann and H E Stanley, Phys. Rev. E55, 727 (1997)
S Sastry, P G Debenedetti, F Sciortino and H E Stanley, Phys. Rev. E53, 6144 (1996)
L P N Rebelo, P G Debenedetti and S Sastry, J. Chem. Phys. 109, 626 (1998)
P H Poole, U Essmann, F Sciortino and H E Stanley, Phys. Rev. E48, 4605 (1993)
P H Poole, F Sciortino, U Essmann and H E Stanley, Phys. Rev. E48, 3799 (1993)
S T Harrington, R Zhang, P H Poole, F Sciortino and H E Stanley, Phys. Rev. Lett. 78, 2409 (1997)
M C Bellissent-Funel and L Bosio, J. Chem. Phys. 102, 3727 (1995)
F W Starr, M C Bellissent-Funel and H E Stanley, Phys. Rev. E60, 1084 (1999). Cond-mat 98-11118.
A Geiger, P Mausbach and J Schnitker, in Water and Aqueous Solutions edited by G W Neilson and J E Enderby (Adam Hilger, Bristol, 1986) p. 15
S T Harrington, P H Poole, F Sciortino, and H E Stanley, J. Chem. Phys. 107, 7443 (1997)
F Sciortino, P H Poole, H E Stanley and S Havlin, Phys. Rev. Lett. 64, 1686 (1990)
A Luzar and D Chandler, Phys. Rev. Lett. 76, 928 (1996)
A Luzar and D Chandler, Nature 379, 55 (1996)
H Larralde, F Sciortino and H E Stanley, Restructuring the Hydrogen Bond Network of Water (preprint)
H Larralde, Properties of systems with many random walkers, Ph.D. Thesis (Boston University, 1993)
F Sciortino, A Geiger and H E Stanley, Phys. Rev. Lett. 65, 3452 (1990)
E Shiratani and M Sasai, J. Chem. Phys. 108, 3264 (1998)
F W Starr, C A Angell, R J Speedy, and H E Stanley, Entropy, Specific Heat, and Relaxation of Water at 1 atm between 136K and 236 K (preprint)
F Sciortino, A Geiger and H E Stanley, Nature 354, 218 (1991)
F Sciortino, A Geiger and H E Stanley, J. Chem. Phys. 96, 3857 (1992)
P Gallo, F Sciortino, P Tartaglia, and S H Chen, Phys. Rev. Lett. 76, 2730 (1996)
F Sciortino, P Gallo, P Tartaglia and S H Chen, Phys. Rev. E54, 6331 (1996)
H Tanaka, Nature 380, 328 (1996)
H Tanaka, J. Chem. Phys. 105, 5099 (1996)
R J Speedy, Nature 380, 289 (1996)
T Andrews, Phil. Trans. 159, 575 (1869)
F Franks (ed.), Water: A Comprehensive Treatise (Plenum Press, NY, 1972) Vol. 1–7; F Franks (ed.), Water Science Reviews (Cambridge University Press, Cambridge, 1985) Vol. 1–4
R J Speedy, J. Phys. Chem. 91, 3354 (1987)
C A Angell, Supercooled water, in Water: A Comprehensive Treatise, edited by F Franks (Plenum Press, New York, 1982)
P H Poole, T Grande, F Sciortino, H E Stanley and C A Angell, J. Comp. Mat. Sci. 4, 373 (1995)
O Mishima, J. Chem. Phys. 100, 5910 (1994)
O Mishima, Nature 384, 546 (1996)
H Kanno, R Speedy, and C A Angell, Science 189, 880 (1975)
P W Bridgman, Proc. Amer. Acad. Arts Sci. 47, 441 (1912)
L F Evans, J. Appl. Phys. 38, 4930 (1967)
O Mishima and H E Stanley, Nature 392, 164 (1998)
O Mishima and H E Stanley, Discontinuity in Decompression-Induced Melting of Ice IV [Proc. Symposium on Water and Ice, Int’l Conf. on High Pressure Science and Technology AIRAPT-16 & HPCJ-38] Rev. High Press. Sci. Tech. 6, 1103 (1998)
H E Stanley, S T Harrington, O Mishima, P H Poole, and F Sciortino, Cooperative Molecular Motions in Water: The Second Critical Point Hypothesis [Proc. 1997 Symposium on Water and Ice, Intl. Conf. on High Pressure Science and Technology AIRAPT-16 & HPCJ-38], Rev. High Press. Sci. Tech. 7, 1090 (1998)
E Lang and H D Lüdemann, Ber. Bunsenges. Phys. Chem. 84, 462 (1980)
E Lang and H D Lüdemann, Ber. Bunsenges. Phys. Chem. 85, 1016 (1981)
E Lang and H D Lüdemann, J. Chem. Phys. 67, 718 (1977)
E Lang and H D Lüdemann, in NMR Basic Principles and Progress (Springer-Verlag, Berlin, 1990) vol. 24, pp. 131.
P C Hemmer and G Stell, Phys. Rev. Lett. 24, 1284 (1970)
G Stell and P C Hemmer, J. Chem. Phys. 56, 4274 (1972)
C K Hall and G Stell, Phys. Rev. A7, 1679 (1973)
M R Sadr-Lahijany, A Scala, S V Buldyrev and H E Stanley, Phys. Rev. Lett. 81, 4895 (1998)
M R Sadr-Lahijany, A Scala, S V Buldyrev and H E Stanley, Water-Like Anomalies for Core-Softened Models of Fluids: One Dimension (preprint)
A Scala, M R Sadr-Lahijany, S V Buldyrev and H E Stanley, Water-Like Anomalies for Core-Softened Models of Fluids: Two Dimensions (preprint)
M Canpolat, F W Starr, M R Sadr-Lahijany, A Scala, O Mishima, S Havlin and H E Stanley, Chem. Phys. Lett. 294, 9 (1998)
M Canpolat, F W Starr, M R Sadr-Lahijany, A Scala, O Mishima, S Havlin and H E Stanley, Structural Heterogeneities and Density Maximum of Liquid Water (preprint)
G E Walrafen, J. Chem. Phys. 40, 3249 (1964); 47, 114 (1967)
W B Monosmith and G E Walrafen, J. Chem. Phys. 81, 669 (1984)
M C Bellissent-Funel, Europhys. Lett. 42, 161 (1998)
F W Starr, S Harrington, F Sciortino and H E Stanley, Phys. Rev. Lett. 82, 3629 (1999)
F W Starr, F Sciortino and H E Stanley, preprint
M Meyer and H E Stanley, J. Phys. Chem. 103 (1999)
P H Poole, M Hemmati and C A Angell, Phys. Rev. Lett. 79, 2281 (1997)
H E Stanley, C A Angell, U Essmann, M Hemmati, P H Poole and F Sciortino, Physica A 205, 122 (1994)
E G Ponyatovskii, JETP Lett. 66, 281 (1997)
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Stanley, H.E. Liquid water: A very complex fluid. Pramana - J Phys 53, 53–83 (1999). https://doi.org/10.1007/s12043-999-0140-6
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DOI: https://doi.org/10.1007/s12043-999-0140-6