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A Statistical Approach to Relaxation in Glassy Materials.
NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS
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Statistical aspects of the Williams-Watts relaxation model are derived explicity from the limit theorem in probability theory. It is shown that the relaxation rate distribution is governed by completely asymmetric Levy alpha-stable distributions, 0 alpha 1. This gives a rigorous approach to the stretched exponential form of relaxation function and also relates the effective relaxation time to the primitive relaxation time. It is demonstrated how useful is the technique of Levy alpha-stable distributions in the study of relaxation phenomena which complements the recent works of Montroll-Bendler and Montroll-Shlesinger. Author keywords include Glass polymer relaxation Levy stable distribution.
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