A New Calculation of Stretched Exponential Time Dependence in As2Se3 Structural Glass

It has been shown by a number of authors that the relaxation times of structural glasses satisfy a stretched exponential dependence with a particular value for the exponent β at the glass temperature. Previously, this author used a free energy approach involving frustration in locally preferred structures to calculate the NQR distribution, the correct glass and Kauzzmann temperatures, as well as the spike in the heat capacity for the structural glass As₂Se₃. Here we calculate the correct relaxation time exponent (β=3/5) based on a statistical mechanical approach using the same approach. In addition, we show that this time dependence is entirely determined by the cooperative behavior of said structures, and at the glass transition temperature the system + bath is non-equilibrium steady state.