Accession Number:

ADA151285

Title:

A Statistical Approach to Relaxation in Glassy Materials.

Descriptive Note:

Technical rept.,

Corporate Author:

NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS

Personal Author(s):

• Weron,K.
• Weron,A.

Report Date:

1984-11-01

Pagination or Media Count:

21.0

Abstract:

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.

Descriptors:

• *PROBABILITY
• *GLASS
• *RELAXATION
• STABILITY
• DISTRIBUTION
• THEORY
• RATES
• RELAXATION TIME

Subject Categories:

• Ceramics, Refractories and Glass
• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE