Advances in Condensed Matter Physics
Volume 2008 (2008), Article ID 817829, 23 pages
doi:10.1155/2008/817829
Review Article
Viscosity and Glass Transition in Amorphous Oxides
Department of Engineering Materials, The University of Sheffield, Sir Robert Hadfield Building, Mappin Street, Sheffield S1 3JD, UK
Received 12 June 2008; Revised 20 October 2008; Accepted 7 December 2008
Academic Editor: Mark Bowick
Copyright © 2008 Michael I. Ojovan. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Linked References
- N. W. Ashcroft and N. D. Mermin, Solid State Physics, Holt-Sauders, Tokyo, Japan, 1976.
- C. Kittel, Introduction to Solid State Physics, John Wiley & Sons, New York, NY, USA, 1996.
- A. R. West, Basic Solid State Chemistry, John Wiley & Sons, Chichester, UK, 1999.
- C. A. Angell, “Glass-formers and viscous liquid slowdown since David turnbull: enduring puzzles and new twists,” MRS Bulletin, vol. 33, no. 5, pp. 544–555, 2008.
- M. I. Ojovan, “Glass formation in amorphous as a percolation phase transition in a system of network defects,” JETP Letters, vol. 79, no. 12, pp. 632–634, 2004. View at Publisher · View at Google Scholar
- M. I. Ozhovan, “Topological characteristics of bonds in and oxide systems upon a glass-liquid transition,” Journal of Experimental and Theoretical Physics, vol. 103, no. 5, pp. 819–829, 2006. View at Publisher · View at Google Scholar
- A. K. Varshneya, Fundamentals of Inorganic Glasses, Society of Glass Technology, Sheffield, UK, 2006.
- D. E. Clark and B. K. Zoitos, Eds., Corrosion of Glass, Ceramics and Ceramic Superconductors, D. E. Clark and B. K. Zoitos, Eds., William Andrew/Noyes, Norwich, NY, USA, 1992.
- M. I. Ojovan and W. E. Lee, An Introduction to Nuclear Waste Immobilisation, Elsevier Science, Amsterdam, The Netherlands, 2005.
- The International Commission on Glass, November 2007, http://www.icg.group.shef.ac.uk.
- A. D. McNaught and A. Wilkinson, Eds., The IUPAC Compendium on Chemical Terminology, A. D. McNaught and A. Wilkinson, Eds., Royal Society of Chemistry, Cambridge, UK, 1997.
- M. I. Ojovan and W. E. Lee, “Topologically disordered systems at the glass transition,” Journal of Physics Condensed Matter, vol. 18, no. 50, pp. 11507–11520, 2006. View at Publisher · View at Google Scholar
- M. Telford, “The case for bulk metallic glass,” Materials Today, vol. 7, no. 3, pp. 36–43, 2004. View at Publisher · View at Google Scholar
- W. H. Wang, C. Dong, and C. H. Shek, “Bulk metallic glasses,” Materials Science and Engineering R, vol. 44, no. 2-3, pp. 45–89, 2004. View at Publisher · View at Google Scholar
- D. B. Chrisey and G. K. Hubler, Eds., Pulsed Laser Deposition of Thin Films, D. B. Chrisey and G. K. Hubler, Eds., John Wiley & Sons, New York, NY, USA, 1994.
- M. I. Ojovan and W. E. Lee, “Self sustaining vitrification for immobilisation of radioactive and toxic waste,” Glass Technology, vol. 44, no. 6, pp. 218–224, 2003.
- C. C. Koch, “Amorphization of single composition powders by mechanical milling,” Scripta Materialia, vol. 34, no. 1, pp. 21–27, 1996. View at Publisher · View at Google Scholar
- R. W. Jones, Fundamental Principles of Sol-Gel Technology, The Institute of Metals, London, UK, 1989.
- N. T. Andrianov, “Sol-gel method in oxide material technology,” Glass and Ceramics, vol. 60, no. 9-10, pp. 320–325, 2003. View at Publisher · View at Google Scholar
- W. J. Weber, “Models and mechanisms of irradiation-induced amorphization in ceramics,” Nuclear Instruments and Methods in Physics Research B, vol. 166-167, pp. 98–106, 2000. View at Publisher · View at Google Scholar
- K. Trachenko, “Understanding resistance to amorphization by radiation damage,” Journal of Physics Condensed Matter, vol. 16, no. 49, pp. R1491–R1515, 2004. View at Publisher · View at Google Scholar
- O. Mishima, L. D. Calvert, and E. Whalley, “‘Melting ice’ I at 77 K and 10 kbar: a new method of making amorphous solids,” Nature, vol. 310, no. 5976, pp. 393–395, 1984. View at Publisher · View at Google Scholar
- G. N. Greaves, F. Meneau, A. Sapelkin, et al., “The rheology of collapsing zeolites amorphized by temperature and pressure,” Nature Materials, vol. 2, no. 9, pp. 622–629, 2003. View at Publisher · View at Google Scholar · View at PubMed
- Glass, Encyclopaedia Britannica, November 2007, http://www.britannica.com.
- K. L. Ngai and S. Capaccioli, “The challenging problem of glass transition,” Journal of the American Ceramic Society, vol. 91, no. 3, pp. 709–714, 2008. View at Publisher · View at Google Scholar
- J. C. Dyre, “Colloquium: the glass transition and elastic models of glass-forming liquids,” Reviews of Modern Physics, vol. 78, no. 3, pp. 953–972, 2006. View at Publisher · View at Google Scholar
- H. Tanaka, “Two-order-parameter model of the liquid-glass transition—I: relation between glass transition and crystallization,” Journal of Non-Crystalline Solids, vol. 351, no. 43–45, pp. 3371–3384, 2005. View at Publisher · View at Google Scholar
- C. M. Roland and R. Casalini, “Density scaling of the dynamics of vitrifying liquids and its relationship to the dynamic crossover,” Journal of Non-Crystalline Solids, vol. 351, no. 33–36, pp. 2581–2587, 2005. View at Publisher · View at Google Scholar
- C. A. Angel, K. L. Ngai, G. B. McKenna, P. F. McMillan, and S. W. Martin, “Relaxation in glass forming liquids and amorphous solids,” Journal of Applied Physics, vol. 88, no. 6, pp. 3113–3157, 2000. View at Publisher · View at Google Scholar
- W. Gotze and L. Sjogren, “Relaxation processes in supercooled liquids,” Reports on Progress in Physics, vol. 55, no. 3, pp. 241–376, 1992. View at Publisher · View at Google Scholar
- J. Zarzycki, Glasses and the Vitreous State, Cambridge University Press, New York, NY, USA, 1982.
- M. Kodama and S. Kojima, “Anharmonicity and fragility in lithium borate glasses,” Journal of Thermal Analysis and Calorimetry, vol. 69, no. 3, pp. 961–970, 2002. View at Publisher · View at Google Scholar
- I. Gutzow and B. Petroff, “The glass transition in terms of Landau's phenomenological approach,” Journal of Non-Crystalline Solids, vol. 345-346, pp. 528–536, 2004. View at Publisher · View at Google Scholar
- L. D. Landau and E. M. Lifshitz, Statistical Physics. Part 1, Butterworth-Heinemann, Oxford, UK, 1984.
- J. M. Stevels, “Repeatability number, Deborah number and critical cooling rates as characteristic parameters of the vitreous state,” in Amorphous Materials, R. W. Douglas and B. Ellis, Eds., pp. 133–140, John Wiley & Sons, London, UK, 1972.
- K. L. Ngai, “Do theories of glass transition that address only the -relaxation need a new paradigm?,” Journal of Non-Crystalline Solids, vol. 351, no. 33–36, pp. 2635–2642, 2005. View at Publisher · View at Google Scholar
- M. Goldstein, “Viscous liquids and the glass transition: a potential energy barrier picture,” The Journal of Chemical Physics, vol. 51, no. 9, pp. 3728–3739, 1969. View at Publisher · View at Google Scholar
- C. A. Angell, “Formation of glasses from liquids and biopolymers,” Science, vol. 267, no. 5206, pp. 1924–1935, 1995. View at Publisher · View at Google Scholar · View at PubMed
- R. Richert, “Heterogeneous dynamics in liquids: fluctuations in space and time,” Journal of Physics Condensed Matter, vol. 14, no. 23, pp. R703–R738, 2002. View at Publisher · View at Google Scholar
- P. Duvall, J. Keesling, and A. Vince, “The Hausdorff dimension of the boundary of a self-similar tile,” Journal of the London Mathematical Society, vol. 61, no. 3, pp. 649–760, 2000. View at Publisher · View at Google Scholar · View at MathSciNet
- B. B. Mandelbrot, Fractals: Form, Chance and Dimension, Freeman, San Francisco, Calif, USA, 1977.
- R. H. Doremus, “Melt viscosities of silicate glasses,” American Ceramic Society Bulletin, vol. 82, no. 3, pp. 59–63, 2003.
- R. H. Doremus, “Viscosity of silica,” Journal of Applied Physics, vol. 92, no. 12, pp. 7619–7629, 2002. View at Publisher · View at Google Scholar
- Y. I. Frenkel, Kinetic Theory of Liquids, Oxford University Press, Oxford, UK, 1946.
- I. Avramov, “Viscosity in disordered media,” Journal of Non-Crystalline Solids, vol. 351, no. 40–42, pp. 3163–3173, 2005. View at Publisher · View at Google Scholar
- R. H. Doremus, Glass Science, John Wiley & Sons, New York, NY, USA, 1973.
- M. I. Ojovan, K. P. Travis, and R. J. Hand, “Thermodynamic parameters of bonds in glassy materials from viscosity-temperature relationships,” Journal of Physics: Condensed Matter, vol. 19, Article ID 415107, 12 pages, 2007. View at Publisher · View at Google Scholar
- P. Gibbs, “Is glass a liquid or a solid?,” Glass Worldwide, vol. 11, pp. 14–18, 2007.
- W. D. Callister, Jr., Fundamentals of Material Science and Engineering, John Wiley & Sons, New York, NY, USA, 2001.
- B. A. Shakhmatkin, N. M. Vedishcheva, and A. C. Wright, “Can thermodynamics relate the properties of melts and glasses to their structure?,” Journal of Non-Crystalline Solids, vol. 293–295, no. 1, pp. 220–226, 2001. View at Publisher · View at Google Scholar
- SciGlass 6.5 Database and Information System, November 2007, http://www.sciglass.info.
- D. Martlew, “Viscosity of molten glasses,” in Properties of Glass-Forming Melts, D. Pye, I. Joseph, and A. Montenero, Eds., p. 485, Taylor & Francis, Boca Raton, Fla, USA, 2005.
- A. Fluegel, “Glass viscosity calculation based on a global statistical modelling approach,” Glass Technology, vol. 48, no. 1, pp. 13–30, 2007.
- W. Lutze, “Silicate glasses,” in Radioactive Waste Forms for the Future, W. Lutze and R. Ewing, Eds., pp. 1–160, Elsevier, Amsterdam, The Netherlands, 1988.
- C. A. Angell, “Perspective on the glass transition,” Journal of Physics and Chemistry of Solids, vol. 49, no. 8, pp. 863–871, 1988. View at Publisher · View at Google Scholar
- L.-M. Martinez and C. A. Angell, “A thermodynamic connection to the fragility of glass-forming liquids,” Nature, vol. 410, no. 6829, pp. 663–667, 2001. View at Publisher · View at Google Scholar · View at PubMed
- J. E. Stanworth, Physical Properties of Glass, Oxford University Press, Oxford, UK, 1950.
- M. B. Volf, Mathematical Approach to Glass, Elsevier, Amsterdam, The Netherlands, 1988.
- R. W. Douglas, “The flow of glass,” Journal of the Society of Glass Technology, vol. 33, pp. 138–162, 1949.
- D. Turnbull and M. H. Cohen, “Free-volume model of the amorphous phase: glass transition,” The Journal of Chemical Physics, vol. 34, no. 1, pp. 120–125, 1961. View at Publisher · View at Google Scholar
- G. Adam and J. H. Gibbs, “On the temperature dependence of cooperative relaxation properties in glass-forming liquids,” The Journal of Chemical Physics, vol. 43, no. 1, pp. 139–146, 1965. View at Publisher · View at Google Scholar
- I. Avramov, “Pressure dependence of viscosity of glassforming melts,” Journal of Non-Crystalline Solids, vol. 262, no. 1, pp. 258–263, 2000. View at Publisher · View at Google Scholar
- M. I. Ojovan, “Viscosity of oxide melts in the doremus model,” JETP Letters, vol. 79, no. 2, pp. 85–87, 2004. View at Publisher · View at Google Scholar
- M. I. Ojovan and W. E. Lee, “Viscosity of network liquids within Doremus approach,” Journal of Applied Physics, vol. 95, no. 7, pp. 3803–3810, 2004. View at Publisher · View at Google Scholar
- J. F. Stebbins, “NMR evidence for five-coordinated silicon in a silicate glass at atmospheric pressure,” Nature, vol. 351, no. 6328, pp. 638–639, 1991. View at Publisher · View at Google Scholar
- R. Zallen, The Physics of Amorphous Solids, John Wiley & Sons, New York, NY, USA, 1983.
- J. M. Ziman, Models of Disorder, Cambridge University Press, Cambridge, UK, 1979.
- P. G. Debenedetti, Metastable Liquids, Princeton University Press, Princeton, NJ, USA, 1997.
- A. V. Evteev, A. T. Kosilov, and E. V. Levchenko, “Atomic mechanisms of pure iron vitrification,” Journal of Experimental and Theoretical Physics, vol. 99, no. 3, pp. 522–529, 2004. View at Publisher · View at Google Scholar
- L. W. Hobbs, “Network topology in aperiodic networks,” Journal of Non-Crystalline Solids, vol. 192-193, pp. 79–91, 1995. View at Publisher · View at Google Scholar
- N. N. Medvedev, A. Geiger, and W. Brostow, “Distinguishing liquids from amorphous solids: percolation analysis on the Voronoi network,” The Journal of Chemical Physics, vol. 93, no. 11, pp. 8337–8342, 1990. View at Publisher · View at Google Scholar
- K. Binder, “Computer simulations of undercooled fluids and the glass transition,” Journal of Non-Crystalline Solids, vol. 274, no. 1, pp. 332–341, 2000. View at Publisher · View at Google Scholar
- A. S. Kolokol and A. L. Shimkevich, “Topological structure of liquid metals,” Atomic Energy, vol. 98, no. 3, pp. 187–190, 2005. View at Publisher · View at Google Scholar
- M. H. Cohen and D. Turnbull, “Molecular transport in liquids and glasses,” The Journal of Chemical Physics, vol. 31, no. 5, pp. 1164–1169, 1959. View at Publisher · View at Google Scholar
- G. S. Grest and M. H. Cohen, “Liquids, glasses, and the glass transition: a free-volume approach,” Advances in Chemical Physics, vol. 48, pp. 455–525, 1981. View at Publisher · View at Google Scholar
- E. Williams and C. A. Angell, “Pressure dependence of the glass transition temperature in ionic liquids and solutions. Evidence against free volume theories,” The Journal of Physical Chemistry, vol. 81, no. 3, pp. 232–237, 1977. View at Publisher · View at Google Scholar
- E. Leutheusser, “Dynamical model of the liquid-glass transition,” Physical Review A, vol. 29, no. 5, pp. 2765–2773, 1984. View at Publisher · View at Google Scholar
- U. Bengtzelius, W. Gotze, and A. Sjolander, “Dynamics of supercooled liquids and the glass transition,” Journal of Physics C, vol. 17, no. 33, pp. 5915–5934, 1984. View at Publisher · View at Google Scholar
- H. Tanaka, “Two-order-parameter model of the liquid-glass transition—II: structural relaxation and dynamic heterogeneity,” Journal of Non-Crystalline Solids, vol. 351, no. 43–45, pp. 3385–3395, 2005. View at Publisher · View at Google Scholar
- H. Tanaka, “Two-order-parameter model of the liquid-glass transition—III: universal patterns of relaxations in glass-forming liquids,” Journal of Non-Crystalline Solids, vol. 351, no. 43–45, pp. 3396–3413, 2005. View at Publisher · View at Google Scholar
- A. V. Evteev, A. T. Kosilov, E. V. Levchenko, and O. B. Logachev, “Kinetics of isothermal nucleation in a supercooled iron melt,” Physics of the Solid State, vol. 48, no. 5, pp. 815–820, 2006. View at Publisher · View at Google Scholar
- H. Tanaka, “Possible resolution of the Kauzmann paradox in supercooled liquids,” Physical Review E, vol. 68, no. 1, Article ID 011505, 8 pages, 2003. View at Publisher · View at Google Scholar
- F. C. Frank, “Melting as a disorder phenomenon,” Proceedings of the Royal Society of London. Series A, vol. 215, no. 1120, pp. 43–46, 1952. View at Publisher · View at Google Scholar
- P. J. Steinhardt, D. R. Nelson, and M. Ronchetti, “Bond-orientational order in liquids and glasses,” Physical Review B, vol. 28, no. 2, pp. 784–805, 1983. View at Publisher · View at Google Scholar
- S. A. Kivelson, X. Zhao, D. Kivelson, T. M. Fischer, and C. M. Knobler, “Frustration-limited clusters in liquids,” The Journal of Chemical Physics, vol. 101, no. 3, pp. 2391–2397, 1994. View at Publisher · View at Google Scholar
- D. Kivelson, S. A. Kivelson, X. Zhao, Z. Nussinov, and G. Tarjus, “A thermodynamic theory of supercooled liquids,” Physica A, vol. 219, no. 1-2, pp. 27–38, 1995. View at Publisher · View at Google Scholar
- E. Donth, The Glass Transition, Springer, New York, NY, USA, 2001.
- A. Hunt, “Some comments on the dynamics of super-cooled liquids near the glass transition,” Journal of Non-Crystalline Solids, vol. 195, no. 3, pp. 293–303, 1996.
- A. Hunt, “The pressure dependence of the glass transition temperature in some ionic liquids,” Journal of Non-Crystalline Solids, vol. 176, no. 2-3, pp. 288–293, 1994. View at Publisher · View at Google Scholar
- A. Hunt, “Finite-size effects on the glass transition temperature,” Solid State Communications, vol. 90, no. 8, pp. 527–532, 1994. View at Publisher · View at Google Scholar
- A. Hunt, “A purely kinetic justification for application of Ehrenfest theorems to the glass transition,” Solid State Communications, vol. 84, no. 3, pp. 263–266, 1992. View at Publisher · View at Google Scholar
- C. A. Angell and K. J. Rao, “Configurational excitations in condensed matter, and the “bond lattice” model for the liquid-glass transition,” The Journal of Chemical Physics, vol. 57, no. 1, pp. 470–481, 1972.
- Y. Kraftmakher, “Equilibrium vacancies and thermophysical properties of metals,” Physics Report, vol. 299, no. 2-3, pp. 79–188, 1998. View at Publisher · View at Google Scholar
- C. A. Angell and J. Wong, “Structure and glass transition thermodynamics of liquid zinc chloride from far-infrared, raman, and probe ion electronic and vibrational spectra,” The Journal of Chemical Physics, vol. 53, no. 5, pp. 2053–2066, 1970. View at Publisher · View at Google Scholar
- M. B. Isichenko, “Percolation, statistical topography, and transport in random media,” Reviews of Modern Physics, vol. 64, no. 4, pp. 961–1043, 1992. View at Publisher · View at Google Scholar · View at MathSciNet
- M. Sahimi, Applications of Percolation Theory, Taylor & Francis, London, UK, 1994.
- H. Scher and R. Zallen, “Critical density in percolation processes,” The Journal of Chemical Physics, vol. 53, no. 9, pp. 3759–3761, 1970. View at Publisher · View at Google Scholar
- A. Koike and M. Tomozawa, “Towards the origin of the memory effect in oxide glasses,” Journal of Non-Crystalline Solids, vol. 354, no. 28, pp. 3246–3253, 2008. View at Publisher · View at Google Scholar
- B. I. Shklovskioe and A. L. Éfros, Electronic Properties of Doped Semiconductors, Springer, New York, NY, USA, 1984.
- A. Z. Patashinskioe and V. L. Pokrovskioe, Fluctuation Theory of Phase Transitions, Pergamon, Oxford, UK, 1979.
- M. I. Ozhovan, “Dynamic uniform fractals in emulsions,” Journal of Experimental and Theoretical Physics, vol. 77, no. 6, pp. 939–943, 1993.
- V. V. Brazhkin and A. G. Lyapin, “A universal increase in the viscosity of metal melts in the range of megabar pressures: a glassy state of the earth's inner core,” Uspekhi Fizicheskikh Nauk, vol. 170, no. 5, pp. 535–551, 2000.
- I. Avramov, “Pressure dependence of viscosity, or is the earth's mantle a glass?,” Journal of Physics Condensed Matter, vol. 20, no. 24, Article ID 244106, 4 pages, 2008. View at Publisher · View at Google Scholar