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Slow Relaxation in Hierarchically Constrained Glassy Models

並列摘要


Palmer, Stein, Abraham, and Anderson (PSAA) models of hierarchically constrained dynamics for glassy relaxation are revisited. The relaxation distribution and standard deviation for the Kohlrausch (or stretched) relaxation function (exp(-(t/тe)β)) are derived in large t region . We also introduce the temperature dependence of the stretched exponent β and the effective relaxation time тe which exhibit s the Vogel-Fulcher-like divergence a t low temperature through the constrained variable μ0.

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