Solving the initial condition of the string relaxation equation of the string model for glass transition: part-II

The string model for the glass transition can quantitatively describe the universal \alpha-relaxation in glassformers. The string relaxation equation (SRE) of the model simplifies the well-known Debye and Rouse–Zimm relaxation equations at high and low enough temperatures, respectively. However, its initial condition, necessary to the further model predictions of glassy dynamics, has not been solved. In this paper, the general initial condition of the SRE for stochastically spatially configurative strings is solved exactly based on the obtained special initial condition of the SRE for straight strings in a previous paper (J. L. Zhang et al. 2010 Chin. Phys. B 19, 056403).