[SY-M1] Linear viscoelasticity on matter out of equilibrium
The recent non equilibrium self consistent generalized Langevin equation (NE-SCGLE) theory of irreversible process in liquids has permitted to obtain a description of non- equilibrium processes involved in the arrested spinodal decomposition due to sudden and deep quenches inside the spinodal region. For a simple model liquid, where the system could be modeling by a hard sphere plus an attractive Yukawa tail, this theoretical approach predicts that the spinodal line is the borderline between the ergodic and the arrested states. Also, by means of this approach has been determined a border between phase separation and gelation, besides providing the corresponding dynamic properties to each phase. This work addresses a general method to obtain the linear viscoelastic properties of non- equilibrium processes involved in the spinodal decomposition when the system has been quenching inside the spinodal region. We show an example of the normalized shear viscosity as a function of the waiting time. This scheme offers the opportunity to describe the linear viscoelasticity and the diffusion mechanics as the waiting time elapses. Furthermore this approach is able to describe gelation effects, it leads naturally to a diverging shear viscosity at glass and gelation transition points.