Models of disorder

The stochastic matrix method is used to describe the statistical processes that take place when a glass is formed. We stress the physical features of the model and the relevancy of the hypotheses made. The theory is applied to various types of binary and ternary chalcogenide glasses, and the predictions of the model are compared with the experimental data. We also reveal the influence of doping on the transition temperature. The theory is extended to the case of growing a disordered solid on a substrate.

[1]  G. Saffarini On topological transitions and chemical ordering in network glasses of the Ge-Ga-S system , 1994 .

[2]  J. C. Phillips,et al.  Topology of covalent non-crystalline solids I: Short-range order in chalcogenide alloys , 1979 .

[3]  M. Morsy,et al.  Thermal induced transformations in glassy chalcogenides SixTe60−xAs30Ge10 , 1990 .

[4]  A. Feltz,et al.  Glass formation and properties of chalcogenide systems XXVI: Permittivity and the structure of glasses AsxSe1−x and GexSe1−x , 1983 .

[5]  A. Varshneya,et al.  Gibbs-DiMarzio equation to describe the glass transition temperature trends in multicomponent chalcogenide glasses , 1991 .

[6]  Lindsay,et al.  Fragility of Ge-As-Se glass-forming liquids in relation to rigidity percolation, and the Kauzmann paradox. , 1990, Physical review letters.

[7]  S. Mahadevan,et al.  The Tg versus Z dependence of glasses of the GeInSe system , 1992 .

[8]  M. Goldstein,et al.  Structure and mobility in molecular and atomic glasses , 1981 .

[9]  H. Eckert,et al.  Glass formation and local structure in the ternary system P–Se–Al. Solid state NMR studies , 1998 .

[10]  J L Beeby,et al.  Physics of amorphous materials , 1984 .

[11]  On the glass transition temperature in covalent glasses , 1997, cond-mat/9809245.

[12]  M. Micoulaut,et al.  Glass transition temperature variation, cross-linking and structure in network glasses: A stochastic approach , 1999, cond-mat/9906190.

[13]  M. Micoulaut,et al.  Evaluation of the concentration of boroxol rings in vitreous ? by the stochastic matrix method , 1997 .

[14]  P. Boolchand,et al.  Direct Evidence for Stiffness Threshold in Chalcogenide Glasses , 1997 .

[15]  Claude M. Penchina,et al.  The physics of amorphous solids , 1983 .