SLOW RELAXATION IN HIERARCHICALLY CONSTRAINED GLASSY MODELS

Palmer, Stein, Abraham, and Anderson (PSAA) models of hierarchically c onstrained dynamics for glassy relaxation are revisited. The relaxatio n distribution and standard deviation for the Kohlrausch (or stretched ) relaxation function (exp(-(t/tau(e))(beta))) are derived in large t region. We also introduce the temperature dependence of the stretched exponent beta and the effective relaxation time tau(e) which exhibits the Vogel-Fulcher-like divergence at low temperature through the const rained variable mu(0).