Random processes underlying stretched times and divergent time scales near the glass transition

John T. Bendler; John J. Fontanella; Michael F. Shlesinger

doi:10.1117/12.609759

23 May 2005 Random processes underlying stretched times and divergent time scales near the glass transition (Invited Paper)

John T. Bendler, John J. Fontanella, Michael F. Shlesinger

Author Affiliations +

Proceedings Volume 5845, Noise in Complex Systems and Stochastic Dynamics III; (2005) https://doi.org/10.1117/12.609759
Event: SPIE Third International Symposium on Fluctuations and Noise, 2005, Austin, Texas, United States

Abstract

A model of relaxation in glassy materials, involving anomalous slow diffusion of defects, is reviewed. The movement of the defects causes a stretched exponential relaxation. If there is an attractive force between defects then as the temperature is lowered, or the pressure increased, the number of mobile defects will decrease. This loss of mobile defects produces a Vogel type law for the singular behavior of the relaxation time scale at a critical temperature.

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John T. Bendler, John J. Fontanella, and Michael F. Shlesinger "Random processes underlying stretched times and divergent time scales near the glass transition (Invited Paper)", Proc. SPIE 5845, Noise in Complex Systems and Stochastic Dynamics III, (23 May 2005); https://doi.org/10.1117/12.609759

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