{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T10:15:39Z","timestamp":1775038539931,"version":"3.50.1"},"reference-count":83,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2008,9,24]],"date-time":"2008-09-24T00:00:00Z","timestamp":1222214400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Thermodynamic parameters of configurons \u2013 elementary excitations resulting from broken bonds in amorphous materials \u2013 are found from viscosity-temperature relationships. Glass-liquid transition phenomena and most popular models are described along with the configuron model of glass transition. The symmetry breaking, which occurs as a change of Hausdorff dimension of bonds, is examined at glass-liquid transition. Thermal history effects in the glass-liquid transition are interpreted in terms of configuron relaxation.<\/jats:p>","DOI":"10.3390\/e10030334","type":"journal-article","created":{"date-parts":[[2008,9,29]],"date-time":"2008-09-29T05:43:40Z","timestamp":1222667020000},"page":"334-364","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":79,"title":["Configurons: Thermodynamic Parameters and Symmetry Changes at Glass Transition"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8928-4879","authenticated-orcid":false,"given":"Michael","family":"Ojovan","sequence":"first","affiliation":[{"name":"The University of Sheffield, Immobilisation Science Laboratory, Department of Engineering Materials, Sir Robert Hadfield Building, Mappin Street, Sheffield, S1 3JD, UK"}]}],"member":"1968","published-online":{"date-parts":[[2008,9,24]]},"reference":[{"key":"ref_1","unstructured":"Ashcroft, N.W., and Mermin, N.D. (1976). Solid state physics, Holt-Sauders International Editions."},{"key":"ref_2","unstructured":"Kittel, C. (1996). Introduction to solid state physics, J. Wiley and Sons Inc."},{"key":"ref_3","unstructured":"West, A.R. (1999). Basic solid state chemistry, J. Wiley and Sons, Ltd."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"544","DOI":"10.1557\/mrs2008.108","article-title":"Glass-formers and viscous liquid slowdown since David Turnbull: enduring puzzles and new twists","volume":"33","author":"Angell","year":"2008","journal-title":"MRS Bull."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"632","DOI":"10.1134\/1.1790021","article-title":"Glass formation in amorphous SiO2 as a percolation phase transition in a system of network defects","volume":"79","author":"Ojovan","year":"2004","journal-title":"J. Exp. Theor. Phys. Lett."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"819","DOI":"10.1134\/S1063776106110197","article-title":"Topological characteristics of bonds in SiO2 and GeO2 oxide systems at glass-liquid transition","volume":"103","author":"Ozhovan","year":"2006","journal-title":"J. Exp. Theor. Phys."},{"key":"ref_7","unstructured":"Varshneya, A.K. (2006). Fundamentals of inorganic glasses, Society of Glass Technology."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1016\/S1369-7021(04)00124-5","article-title":"Bulk metallic glass","volume":"3","author":"Telford","year":"2004","journal-title":"Mater. Today"},{"key":"ref_9","unstructured":"Chrisey, D.B., and Hubler, G.K. (1994). Pulsed laser deposition of thin films, John Wiley & Sons."},{"key":"ref_10","first-page":"218","article-title":"Self sustaining vitrification for immobilisation of radioactive and toxic waste","volume":"44","author":"Ojovan","year":"2003","journal-title":"Glass Technol."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1016\/1359-6462(95)00466-1","article-title":"Amorphization of single composition powders by mechanical milling","volume":"34","author":"Koch","year":"1996","journal-title":"Scr. Mater."},{"key":"ref_12","unstructured":"Jones, R.W. (1989). Fundamental principles of sol-gel technology, The Institute of Metals."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"320","DOI":"10.1023\/B:GLAC.0000008236.82265.3b","article-title":"Sol-gel method in material technology","volume":"60","author":"Andrianov","year":"2003","journal-title":"Glass Ceram."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"98","DOI":"10.1016\/S0168-583X(99)00643-6","article-title":"Models and mechanisms of irradiation-induced amorphization in ceramics","volume":"166","author":"Weber","year":"2000","journal-title":"Nuc. Inst. Meth. Phys. Res. B"},{"key":"ref_15","first-page":"R1491","article-title":"Understanding resistance to amorphization by radiation damage","volume":"16","author":"Trachenko","year":"2004","journal-title":"J. Phys.: Condensed Matter"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1038\/310393a0","article-title":"Melting ice-I at 77 and 10-kbar - a new method of making amorphous solids","volume":"310","author":"Mishima","year":"1984","journal-title":"Nature"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"622","DOI":"10.1038\/nmat963","article-title":"The rheology of collapsing zeolites amorphized by temperature and pressure","volume":"2","author":"Greaves","year":"2003","journal-title":"Nat. Mater."},{"key":"ref_18","first-page":"R703","article-title":"Heterogeneous dynamics in liquids: fluctuations in space and time","volume":"14","author":"Richert","year":"2002","journal-title":"J. Phys.: Condens. Matter"},{"key":"ref_19","first-page":"11507","article-title":"Topologically disordered systems at the glass transition","volume":"18","author":"Ojovan","year":"2006","journal-title":"J. Phys.: Condensed Matter"},{"key":"ref_20","unstructured":"Frenkel, Y.I. (1946). Kinetic theory of liquids, Oxford University Press."},{"key":"ref_21","first-page":"59","article-title":"Melt viscosities of silicate glasses","volume":"82","author":"Doremus","year":"2003","journal-title":"Amer. Ceram. Soc. Bull."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"7619","DOI":"10.1063\/1.1515132","article-title":"Viscosity of silica","volume":"92","author":"Doremus","year":"2002","journal-title":"J. Appl. Phys."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"220","DOI":"10.1016\/S0022-3093(01)00674-3","article-title":"Can thermodynamics relate the properties of melts and glasses to their structure?","volume":"293\u2013295","author":"Shakhmatkin","year":"2001","journal-title":"J. Non-Cryst. Solids"},{"key":"ref_24","unstructured":"SciGlass 6.5 Database and Information System, 2005. www.sciglass.info."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Pye, L.D., Joseph, I., and Montenero, A. (2005). Properties of Glass-Forming Melts, Taylor & Francis.","DOI":"10.1201\/9781420027310"},{"key":"ref_26","first-page":"13","article-title":"Glass viscosity calculation based on a global statistical modelling approach","volume":"48","author":"Fluegel","year":"2007","journal-title":"Glass Technol."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"863","DOI":"10.1016\/0022-3697(88)90002-9","article-title":"Perspective on the glass transition","volume":"49","author":"Angel","year":"1988","journal-title":"J. Phys. Chem. Solids"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"663","DOI":"10.1038\/35070517","article-title":"A thermodynamic connection to the fragility of glass-forming liquids","volume":"410","author":"Martinez","year":"2001","journal-title":"Nature"},{"key":"ref_29","unstructured":"Stanworth, J.E. (1950). Physical properties of glass, Oxford University Press."},{"key":"ref_30","unstructured":"Volf, M.B. (1988). Mathematical approach to glass, Elsevier."},{"key":"ref_31","first-page":"138","article-title":"The flow of glass","volume":"33","author":"Douglas","year":"1949","journal-title":"J. Soc. Glass Technol."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1063\/1.1696442","article-title":"On the temperature dependence of coperative relaxation properties in glass-forming liquids","volume":"43","author":"Adam","year":"1965","journal-title":"J. Chem. Phys."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"258","DOI":"10.1016\/S0022-3093(99)00712-7","article-title":"Pressure dependence of viscosity of glass forming melts","volume":"262","author":"Avramov","year":"2000","journal-title":"J. Non-Cryst. Solids"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"638","DOI":"10.1038\/351638a0","article-title":"NMR Evidence for Five-Coordinated Silicon in a Silicate Glass at Atmospheric Pressure","volume":"351","author":"Stebbins","year":"1991","journal-title":"Nature (London)"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1134\/1.1690357","article-title":"Viscosity of oxide melts in the Doremus model","volume":"79","author":"Ojovan","year":"2004","journal-title":"JETP Lett."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"3803","DOI":"10.1063\/1.1647260","article-title":"Viscosity of network liquids within Doremus approach","volume":"95","author":"Ojovan","year":"2004","journal-title":"J. Appl. Phys."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"470","DOI":"10.1063\/1.1677987","article-title":"Configurational excitations in condensed matter, and \u201cbond lattice\u201d model for the liquid-glass transition","volume":"57","author":"Angell","year":"1972","journal-title":"J. Chem. Phys."},{"key":"ref_38","first-page":"415107:1","article-title":"Thermodynamic parameters of bonds in glassy materials from viscosity-temperature relationships","volume":"19","author":"Ojovan","year":"2007","journal-title":"J. Phys.: Condensed Matter"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"522","DOI":"10.1134\/1.1809680","article-title":"Atomic mechanisms of pure iron vitrification","volume":"99","author":"Evteev","year":"2004","journal-title":"J. Exp. Theor. Phys."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1016\/0022-3093(95)00431-9","article-title":"Network topology in aperiodic networks","volume":"192\/193","author":"Hobbs","year":"1995","journal-title":"J. Non-Cryst. Solids"},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"8337","DOI":"10.1063\/1.459711","article-title":"Distinguishing liquids from amorphous solids: Percolation analysis on the Voronoi network","volume":"93","author":"Medvedev","year":"1990","journal-title":"J. Chem. Phys."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"332","DOI":"10.1016\/S0022-3093(00)00195-2","article-title":"Computer simulations of undercooled fluids and the glass transition J.","volume":"274","author":"Binder","year":"2000","journal-title":"Non-Cryst. Solids"},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1007\/s10512-005-0191-9","article-title":"Topological structure of liquid metals","volume":"98","author":"Kolokol","year":"2005","journal-title":"At. Energ."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"953","DOI":"10.1103\/RevModPhys.78.953","article-title":"Colloquium: The glass transition and elastic models of glass-forming liquids","volume":"78","author":"Dyre","year":"2006","journal-title":"Rev. Mod. Phys."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"3371","DOI":"10.1016\/j.jnoncrysol.2005.09.008","article-title":"Two-order-parameter model of the liquid-glass transition. I. Relation between glass transition and crystallization","volume":"351","author":"Tanaka","year":"2005","journal-title":"J. Non-Cryst. Solids"},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"2581","DOI":"10.1016\/j.jnoncrysol.2005.03.056","article-title":"Density scaling of the dynamics of vitrifying liquids and its relationship to the dynamic crossover","volume":"351","author":"Roland","year":"2005","journal-title":"J. Non-Cryst. Solids"},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"3113","DOI":"10.1063\/1.1286035","article-title":"Relaxation in glass forming liquids and amorphous solids","volume":"88","author":"Angel","year":"2000","journal-title":"J. Appl. Phys."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1088\/0034-4885\/55\/3\/001","article-title":"Relaxation processes in supercooled liquids","volume":"55","author":"Gotze","year":"1992","journal-title":"Rep. Prog. Phys."},{"key":"ref_49","unstructured":"Zarzycki, J. (1982). Glasses and the vitreous state, Cambridge University Press."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"1164","DOI":"10.1063\/1.1730566","article-title":"Molecular Transport in Liquids and Glasses","volume":"31","author":"Cohen","year":"1959","journal-title":"J. Chem. Phys."},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1002\/9780470142684.ch6","article-title":"Liquids, Glasses, and the Glass Transition: A Free-Volume Approach","volume":"48","author":"Grest","year":"1981","journal-title":"Adv. Chem. Phys."},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"232","DOI":"10.1021\/j100518a010","article-title":"Pressure dependence of the glass transition temperature in ionic liquids and solutions. Evidence against free volume theories","volume":"81","author":"Williams","year":"1977","journal-title":"J. Phys. Chem."},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"2765","DOI":"10.1103\/PhysRevA.29.2765","article-title":"Dynamical model of the liquid-glass transition","volume":"29","author":"Leutheusser","year":"1984","journal-title":"Phys. Rev. A"},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"5915","DOI":"10.1088\/0022-3719\/17\/33\/005","article-title":"Dynamics of supercooled liquids and the glass transition","volume":"17","author":"Bengtzelius","year":"1984","journal-title":"J. Phys. C: Sol. State Phys."},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"3385","DOI":"10.1016\/j.jnoncrysol.2005.09.009","article-title":"Two-order-parameter model of the liquid-glass transition. II. Structural relaxation and dynamic heterogeneity","volume":"351","author":"Tanaka","year":"2005","journal-title":"J. Non-Cryst. Solids"},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"3396","DOI":"10.1016\/j.jnoncrysol.2005.09.010","article-title":"Two-order-parameter model of the liquid-glass transition. III. Universal patterns of relaxation in glass-forming liquids","volume":"351","author":"Tanaka","year":"2005","journal-title":"J. Non-Cryst. Solids"},{"key":"ref_57","doi-asserted-by":"crossref","first-page":"769","DOI":"10.1134\/S1063783406050015","article-title":"Kinetics of isothermal nucleation in supercooled iron melt","volume":"48","author":"Evteev","year":"2006","journal-title":"Solid State Phys."},{"key":"ref_58","doi-asserted-by":"crossref","first-page":"011505","DOI":"10.1103\/PhysRevE.68.011505","article-title":"Possible resolution of Kauzmann paradox in supercooled liquids","volume":"68","author":"Tanaka","year":"2003","journal-title":"Phys. Rev. E"},{"key":"ref_59","first-page":"43","article-title":"Melting as a Disorder Phenomenon","volume":"215","author":"Frank","year":"1952","journal-title":"Proc. Roy. Soc. A"},{"key":"ref_60","doi-asserted-by":"crossref","first-page":"784","DOI":"10.1103\/PhysRevB.28.784","article-title":"Bond-orientational order in liquids and glasses","volume":"28","author":"Steinhardt","year":"1983","journal-title":"Phys. Rev. B"},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"2391","DOI":"10.1063\/1.468414","article-title":"Frustration limited clusters in liquids","volume":"101","author":"Kivelson","year":"1994","journal-title":"J. Chem. Phys."},{"key":"ref_62","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1016\/0378-4371(95)00140-3","article-title":"A thermodynamic theory of supercooled liquids","volume":"219","author":"Kivelson","year":"1995","journal-title":"Physica A"},{"key":"ref_63","doi-asserted-by":"crossref","unstructured":"Donth, E. (2001). The Glass Transition, Springer.","DOI":"10.1007\/978-3-662-04365-3"},{"key":"ref_64","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1016\/0022-3093(95)00515-3","article-title":"Some comments on the dynamic of super-cooled liquids near the glass transition","volume":"195","author":"Hunt","year":"1995","journal-title":"J. Non-Cryst. Solids"},{"key":"ref_65","doi-asserted-by":"crossref","first-page":"288","DOI":"10.1016\/0022-3093(94)90089-2","article-title":"The pressure dependence of the glass transition temperature in some ionic liquids","volume":"176","author":"Hunt","year":"1994","journal-title":"J. Non-Cryst. Solids"},{"key":"ref_66","doi-asserted-by":"crossref","first-page":"527","DOI":"10.1016\/0038-1098(94)90060-4","article-title":"Finite size effects on the glass transition temperature","volume":"90","author":"Hunt","year":"1994","journal-title":"Solid State Commun."},{"key":"ref_67","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/0038-1098(92)90117-R","article-title":"A purely kinetic justification for application of Ehrenfest theorems to the glass transition","volume":"84","author":"Hunt","year":"1992","journal-title":"Solid State Commun."},{"key":"ref_68","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1016\/S0370-1573(97)00082-3","article-title":"Equilibrium vacancies and thermophysical properties of metals","volume":"299","author":"Kraftmakher","year":"1998","journal-title":"Phys. Rep."},{"key":"ref_69","doi-asserted-by":"crossref","first-page":"2053","DOI":"10.1063\/1.1674287","article-title":"Structure and glass transition thermodynamics of liquid zinc chloride from far-infrared, Raman, and probe ion electronic and vibrational spectra","volume":"53","author":"Angell","year":"1970","journal-title":"J. Chem. Phys."},{"key":"ref_70","doi-asserted-by":"crossref","first-page":"961","DOI":"10.1103\/RevModPhys.64.961","article-title":"Percolation, statistical topography, and transport in random media","volume":"64","author":"Isichenko","year":"1992","journal-title":"Rev. Mod. Phys."},{"key":"ref_71","doi-asserted-by":"crossref","unstructured":"Sahimi, M. (1994). Applications of percolation theory, Taylor and Francis.","DOI":"10.1201\/9781482272444"},{"key":"ref_72","doi-asserted-by":"crossref","first-page":"3759","DOI":"10.1063\/1.1674565","article-title":"Critical densities in percolation processes","volume":"53","author":"Scher","year":"1970","journal-title":"J. Chem. Phys."},{"key":"ref_73","doi-asserted-by":"crossref","first-page":"3246","DOI":"10.1016\/j.jnoncrysol.2008.02.012","article-title":"Towards the origin of the memory effect in oxide glasses","volume":"354","author":"Koike","year":"2008","journal-title":"J. Non-Cryst. Solids"},{"key":"ref_74","doi-asserted-by":"crossref","first-page":"10","DOI":"10.3390\/i2010010","article-title":"The Nature of the Chemical Process. 1. Symmetry Evolution - Revised Information Theory, Similarity Principle and Ugly Symmetry","volume":"2","author":"Lin","year":"2001","journal-title":"Int. J. Mol. Sci."},{"key":"ref_75","doi-asserted-by":"crossref","unstructured":"Shklovskioe, B.I., and Efros, A.L. (1984). Electronic Properties of Doped Semiconductors, Springer.","DOI":"10.1007\/978-3-662-02403-4"},{"key":"ref_76","unstructured":"Patashinskioe, A.Z., and Pokrovskioe, V.L. (1979). Fluctuation Theory of Phase Transitions, Pergamon."},{"key":"ref_77","first-page":"939","article-title":"Dynamic uniform fractals in emulsions","volume":"77","author":"Ozhovan","year":"1993","journal-title":"J. Exp. Theor. Phys."},{"key":"ref_78","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1111\/j.1151-2916.1976.tb09376.x","article-title":"Dependence of the Fictive Temperature of Glass on Cooling Rate","volume":"59","author":"Moynihan","year":"1976","journal-title":"J. Amer. Ceram. Soc."},{"key":"ref_79","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1080\/14786440808635681","article-title":"On the pressure developed in a liquid during the collapse of a spherical void","volume":"34","year":"1917","journal-title":"Philos. Mag."},{"key":"ref_80","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1115\/1.4009975","article-title":"The dynamics of cavitation bubbles","volume":"16","author":"Plesset","year":"1949","journal-title":"J. Appl. Mech."},{"key":"ref_81","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1016\/j.radphyschem.2006.03.050","article-title":"Energy dissipation and Ps bubble growth in liquids","volume":"76","author":"Stepanov","year":"2007","journal-title":"Rad. Phys. Chem."},{"key":"ref_82","doi-asserted-by":"crossref","first-page":"504","DOI":"10.1103\/PhysRevE.60.504","article-title":"Differential criterion of a bubble collapse in viscous liquids","volume":"60","author":"Bogoyavlenskiy","year":"1999","journal-title":"Phys. Rev. E"},{"key":"ref_83","doi-asserted-by":"crossref","first-page":"515","DOI":"10.1016\/j.jnoncrysol.2005.01.002","article-title":"The effect of cooling rate on the glass transition of an amorphous polymer","volume":"351","author":"Giordano","year":"2005","journal-title":"J. Non-Cryst. 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