A Statistical Approach to Relaxation in Glassy Materials.

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.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1984
Accession Number
ADA151285

Entities

People

  • A. Weron
  • K. Weron

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Classification
  • Complex Systems
  • Computer Programs
  • Data Science
  • Distribution Functions
  • Information Science
  • Materials
  • North Carolina
  • Probability
  • Random Variables
  • Relaxation Time
  • Security
  • Statistical Distributions
  • Statistical Mechanics
  • Statistics
  • Stochastic Processes
  • Subatomic Particles

Fields of Study

  • Mathematics

Readers

  • Materials Science and Engineering.
  • Mathematical Modeling and Probability Theory.
  • Statistical inference.