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Role of orientation disorder in the formation of fragility of glassy water and glycerol-like liquids
Phys. Rev. E 76, 061504 – Published 5 December, 2007
DOI: https://doi.org/10.1103/PhysRevE.76.061504
Abstract
The role of H bonds in the formation of the fragility and dielectric properties of highly viscous liquids is investigated. The heuristic supposition about the proportionality between the logarithm of the shear viscosity and oscillatory contributions to the mean-square displacement of a molecule is presented. Concrete calculations are carried out for the H-bond subsystem of the two-dimensional model lattice water. The conjecture on the interrelation between the phase transition in the subsystem of H bonds and the glassification point is formulated. It is shown that (i) the glassification temperature is proportional to the H-bonding energy and (ii) the fragilities of glycerol-like liquids differ from each other as a consequence of distinct interaction energies between H bonds. The existence of a close connection between the fragility parameter and dielectric permittivity is established.
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References (36)
- W. Götze, Liquids, Freezing and Glass Transitions (North Holland, Amsterdam, 1990), Chap. Aspects of structural glass transitions.
- Nonequilibrium Phenomena in Supercooled Fluids, Glasses and Amorphous Materials, edited by M. Giordano, D. Leporini, and M. P. Tosi (World Scientific, Singapore, 1995).
- G. Ruocco, F. Sciortino, F. Zamponi, C. de Michele, and T. Scopigno, J. Chem. Phys. 120, 10666 (2004).
- I. V. Blazhnov, S. Magazù, G. Maisano, N. P. Malomuzh, and F. Migliardo, Phys. Rev. E 73, 031201 (2006).
- M. Mezard, G. Parisi, and M. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987).
- V. S. Dotsenko, Usp. Fiz. Nauk 163, 1 (1993).
- S. V. Lishchuk, T. V. Lokotosh, and N. P. Malomuzh, J. Chem. Phys. 122, 244504 (2005).
- C. A. Angell, Science 267, 1924 (1995).
- C. A. Angell, Chem. Rev. (Washington, D.C.) 102, 2627 (2002).
- K. Ito, C. T. Moynihan, and C. A. Angell, Nature (London) 398, 492 (1999).
- V. Velikov, S. Borick, and C. A. Angell, Science 294, 2335 (2001).
- S. Magazù, G. Maisano, F. Migliardo, and C. Mondelli, Biophys. J. 86, 3241 (2004).
- V. F. Petrenko and R. W. Withworth, Physics of Ice (Oxford University Press, Oxford, 1999).
- L. Pauling, J. Am. Chem. Soc. 57, 2680 (1935).
- G. G. Malenkov and D. L. Tityk, Molecular Dynamics Method in Physical Chemistry (Science, Moscow, 1996).
- D. Eisenberg and V. Kauzmann, The Structure and Properties of Water (Oxford University Press, Oxford, 1969).
- A. W. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, J. Chem. Phys. 21, 1087 (1953).
- Monte Carlo Methods in Statistical Physics, edited by K. Binder, (Springer, Berlin, 1979).
- C. J. Roberts, A. Z. Panagiotopoulos, and P. G. Debenedetti, Phys. Rev. Lett. 77, 4386 (1996).
- G. Franzese, M. I. Marqués, and H. E. Stanley, Phys. Rev. E 67, 011103 (2003).
- A. L. Balladares and M. C. Barbosa, J. Phys.: Condens. Matter 16, 8811 (2004).
- T. V. Lokotosh and N. P. Malomuzh, J. Mol. Liq. 105, 237 (2003).
- R. Kikuchi, Phys. Rev. 81, 988 (1951).
- H. A. Bethe, Proc. R. Soc. London, Ser. A 150, 552 (1935).
- J. S. Walker and C. A. Vause, Phys. Lett. 79A, 421 (1980).
- N. P. Malomuzh and B. A. Veytsman, Phys. Lett. A 136, 239 (1989).
- U. Buchenau and R. Zorn, Europhys. Lett. 18, 523 (1992).
- L. A. Bulavin, N. P. Malomuzh, and K. N. Pankratov, J. Struct. Chem. 47, 52 (2006).
- I. L. Fabelinskii, Molecular Scattering of Light (Plenum, New York, 1968).
- A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics (MIT Press, Cambridge, MA, 1975), Vol. 2.
- G. B. Gurevich, Basic Principles of Algebraic Invariant Theory (Gostekhizdat, Moscow, 1948).
- S. Sastry, P. G. Debenedetti, F. Sciortino, and H. E. Stanley, Phys. Rev. E 53, 6144 (1996).
- A. Lopes Balladares, V. B. Henriques, and M. C. Barbosa, J. Phys.: Condens. Matter 19, 116105 (2007).
- G. Franzese and H. E. Stanley, J. Phys.: Condens. Matter 19, 205126 (2007).
- P. Kumar, G. Franzese, and H. E. Stanley, e-print arXiv:cond-mat/0702108v1.
- A. I. Fisenko, V. L. Kulinskii, and N. P. Malomuzh, Phys. Rev. E 69, 011501 (2004).