Through a Glass, Darkly: Dispelling Three Common Misconceptions in Glass Science

International Journal of Applied Glass Science

Volumn 2, Issue 4, 2011, Pages 245-261

  Mauro, John C ^a  

^a Corning Incorporated ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL CAPABILITY; EXPERIMENTAL OBSERVATION; GLASS SCIENCE; HIGH-TECHNOLOGY; KAUZMANN PARADOX; RESIDUAL ENTROPY; SUPERCOOLED LIQUIDS;

CURRICULA; IODINE; STUDENTS;

GLASS;

EID: 84860439555     PISSN: 20411286     EISSN: 20411294     Source Type: Journal    
DOI: 10.1111/j.2041-1294.2011.00069.x     Document Type: Article

References (54)

1. A. K. Varshneya, Fundamentals of Inorganic Glasses, 2nd edition, Society of Glass Technology, Sheffield, U.K., 2006.
2. W. Kauzmann, "The Nature of the Glassy State and the Behavior of Liquids at Low Temperatures, " Chem. Rev., 43 219-256 (1948).
3. J. H. Gibbs and E. A. DiMarzio, "Nature of the Glass Transition and the Glassy State, " J. Chem. Phys., 28 [3] 373-383 (1958).
4. F. H. Stillinger, "Supercooled Liquids, Glass Transitions, and the Kauzmann Paradox, " J. Chem. Phys., 88 [12] 7818-7825 (1988).
5. D. Huang, S. L. Simon, and G. B. McKenna, "Equilibrium Heat Capacity of the Glass-Forming Poly(α-Methyl Styrene) Far Below the Kauzmann Temperature: The Case of the Missing Glass Transition, " J. Chem. Phys., 119 [7] 3590-3593 (2003).
6. J. P. Eckmann and I. Procaccia, "Ergodicity and Slowing Down in Glass-Forming Systems with Soft Potentials: No Finite-Temperature Singularities, " Phys. Rev. E, 78 011503 (2008).
7. F. H. Stillinger, P. G. Debenedetti, and T. M. Truskett, "The Kauzmann Paradox Revisited, " J. Phys. Chem. B, 105 [47] 11809-11816 (2001).
8. F. H. Stillinger and P. G. Debenedetti, "Phase Transitions, Kauzmann Curves, and Inverse Melting, " Biophys. Chem., 105 [2] 211-220 (2003).
9. C. A. Angell, V. Kapko, and D. Matyushov, "Ideal Glassformers and Glass Transition Paradigms, " American Ceramic Society Glass and Optical Materials Division Annual Meeting, GOMD-SII-010-2011, Savannah, GA, 2011.
10. G. W. Scherer, "Editorial Comments on a Paper by Gordon S. Fulcher, " J. Am. Ceram. Soc., 75 1060-1062 (1992).
11. M. L. Williams, R. F. Landel, and J. D. Ferry, "The Temperature Dependence of Relaxation Mechanisms in Amorphous Polymers and Other Glass-Forming Liquids, " J. Am. Chem. Soc., 77 3701-3707 (1955).
12. W. T. Laughlin and D. R. Uhlmann, "Viscous Flow in Simple Organic Liquids, " J. Phys. Chem., 76 2317-2325 (1972).
13. T. Hecksher, A. I. Nielsen, N. B. Olsen, and J. C. Dyre, "Little Evidence for Dynamic Divergences in Ultraviscous Molecular Liquids, " Nat. Phys., 4 737-741 (2008).
14. J. C. Mauro, Y. Yue, A. J. Ellison, P. K. Gupta, and D. C. Allan, "Viscosity of Glass-Forming Liquids, " Proc. Natl. Acad. Sci. (U.S.), 106 [47] 19780-19784 (2009).
15. G. Adam and J. H. Gibbs, "On the Temperature Dependence of Cooperative Relaxation Properties in Glass-Forming Liquids, " J. Chem. Phys., 43 139-146 (1965).
16. P. K. Gupta and J. C. Mauro, "Composition Dependence of Glass Transition Temperature and Fragility. I. A Topological Model Incorporating Temperature-Dependent Constraints, " J. Chem. Phys., 130 094503 (2009).
17. J. C. Mauro, P. K. Gupta, and R. J. Loucks, "Composition Dependence of Glass Transition Temperature and Fragility. II. A Topological Model of Alkali Borate Liquids, " J. Chem. Phys., 130 234503 (2009).
18. J. C. Phillips, "Topology of Covalent Non-Crystalline Solids. I: Short-Range Order in Chalcogenide Alloys, " J. Non-Cryst. Solids, 34 153-181 (1979).
19. J. C. Mauro, "Topological Constraint Theory of Glass, " Am. Ceram. Soc. Bull., 90 [4] 31-37 (2011).
20. G. G. Naumis, "Energy Landscape and Rigidity, " Phys. Rev. E, 71 026114 (2005).
21. G. G. Naumis, "Glass Transition Phenomenology and Flexibility: An Approach Using the Energy Landscape Formalism, " J. Non-Cryst. Solids, 352 4865-4870 (2006).
22. I. Avramov and A. Milchev, "Effect of Disorder on Diffusion and Viscosity in Condensed Systems, " J. Non-Cryst. Solids, 104 253-260 (1988).
23. Y. S. Elmatad, D. Chandler, and J. P. Garrahan, "Corresponding States of Structural Glass Formers, " J. Phys. Chem. B, 113 5563-5567 (2009).
24. C. A. Angell, "Relaxation in Liquids, Polymers and Plastic Crystals - Strong/Fragile Patterns and Problems, " J. Non-Cryst. Solids, 131-133 13-31 (1991).
25. F. H. Stillinger, "Enumeration of Isobaric Inherent Structures for the Fragile Glass Former o-Terphenyl, " J. Phys. Chem. B, 102 2807-2810 (1998).
26. M. M. Smedskjaer, J. C. Mauro, and Y. Yue, "Ionic Diffusion and the Topological Origin of Fragility in Silicate Glasses, " J. Chem. Phys., 131 244514 (2009).
27. R. Conradt, "On the Entropy Difference Between the Vitreous and the Crystalline State, " J. Non-Cryst. Solids, 355 [10-12] 636-641 (2009).
28. I. Gutzow and J. W. P. Schmelzer, "The Third Principle of Thermodynamics and the Zero-Point Entropy of Glasses: History and New Developments, " J. Non-Cryst. Solids, 355 [10-12] 581-594 (2009).
29. S. V. Nemilov, "Zero-Point Entropy of Glasses as Physical Reality, " J. Non-Cryst. Solids, 355 [10-12] 607-616 (2009).
30. U. Fotheringham, A. Baltes, R. Müller, and R. Conradt, "The Residual Configurational Entropy Below the Glass Transition: Determination for Two Commercial Optical Glasses, " J. Non-Cryst. Solids, 355 [10-12] 642-652 (2009).
31. E. Fermi, Thermodynamics, Dover Publications, Mineola, NY, 1956, 139pp.
32. M. Reiner, "The Deborah Number, " Phys. Today, 17 [1] 62 (1964).
33. S. Ishioka and N. Fuchikami, "Thermodynamics of Computing: Entropy of Nonergodic Systems, " Chaos, 11 [3] 734-746 (2001).
34. C. A. Angell, "The Glass Transition, " Curr. Opin. Solid State Mater. Sci., 1 [4] 578-585 (1996).
35. N. O. Birge and S. R. Nagel, "Specific-Heat Spectroscopy of the Glass Transition, " Phys. Rev. Lett., 54 2674-2677 (1985).
36. R. G. Palmer, "Broken Ergodicity, " Adv. Phys., 31 [6] 669-735 (1982).
37. P. K. Gupta and J. C. Mauro, "The Laboratory Glass Transition, " J. Chem. Phys., 126 [22] 224504 (2007).
38. S. Goldstein, "Boltzmann's Approach to Statistical Mechanics;" Chance in Physics, eds., J. Bricmonet et al. Lecture Notes in Physics, 574 Springer-Verlag, Berlin, 39-54, 2001.
39. D. F. Styer, "Insight Into Entropy, " Am. J. Phys., 68 1090-1096 (2000).
40. H. Reiss, "Apparent Entropy, Residual Entropy, Causality, Metastability, Constraints, and the Glass Transition, " J. Non-Cryst. Solids, 355 [10-12] 617-623 (2009).
41. D. Thirumalai, R. D. Mountain, and T. R. Kirkpatrick, "Ergodic Behavior in Supercooled Liquids and in Glasses, " Phys. Rev. A, 39 3563-3574 (1989).
42. T. M. Nieuwenhuizen, "Ehrenfest Relations at the Glass Transition: Solution to an Old Paradox, " Phys. Rev. Lett., 79 1317-1320 (1997).
43. B. Coluzzi, G. Parisi, and P. Verocchio, "Thermodynamical Liquid-Glass Transition in a Lennard-Jones Binary Mixture, " Phys. Rev. Lett., 84 306-309 (2000).
44. J. L. Barrat and J. P. Hansen Basic Concepts for Simple and Complex Liquids, Cambridge University Press, Cambridge, 2003, 283pp.
45. J. C. Mauro, P. K. Gupta, and R. J. Loucks, "Continuously Broken Ergodicity, " J. Chem. Phys., 126 184511 (2007).
46. J. C. Mauro, R. J. Loucks, and P. K. Gupta, "Metabasin Approach for Computing the Master Equation Dynamics of Systems With Broken Ergodicity, " J. Phys. Chem. A, 111 [32] 7957-7965 (2007).
47. S. Goldstein and J. L. Lebowitz, "On the (Boltzmann) Entropy of Non-Equilibrium Systems, " Phys. D, 193 [1-4] 53-66 (2004).
48. J. C. Mauro, R. J. Loucks, and S. Sen, "Heat Capacity, Enthalpy Fluctuations, and Configurational Entropy in Broken Ergodic Systems, " J. Chem. Phys., 133 164503 (2010).
49. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids, Oxford University Press, Oxford, 1987.
50. D. J. Evans, D. J. Searles, and S. R. Williams, "Dissipation and the Relaxation to Equilibrium, " J. Stat. Mech.: Theory Exp., 2009 P07029 (2009).
51. S. R. Williams and D. J. Evans, "The Rheology of Solid Glass, " J. Chem. Phys., 132 184105 (2010).
52. J. Casas-Vázquez and D. Jou, "Nonequilibrium Temperature Versus Local-Equilibrium Temperature, " Phys. Rev. E, 49 1040-1048 (1994).
53. J. Casas-Vázquez and D. Jou, "Temperature in Non-Equilibrium States: A Review of Open Problems and Current Proposals, " Rep. Prog. Phys., 66 [11] 1937-2023 (2003).
54. H. Belloc, The Great Heresies, Sheed & Ward, London, 1938.