An Examination of Models of Relaxation in Complex Systems. I. Continuous Time Random Walk (CTRW) Models.

Abstract

Models of relaxation in complex systems based on the continuous time random walk (CTRW) formalism are examined on the basis of: (1) their robustness; (2) the nature of technical procedures employed; (3) the appropriateness of assumptions when subjected to physical tests; (4) the inclusion of a description of establilshed experimental results; and (5) the consistency of predictions with experimental results. Inadequacies of the CTRW models are shown to exist for all these features. It is concluded tha CTRW models, as they exist today, must be rejected as viable decriptions of the relaxation process in complex systems.

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Document Details

Document Type
Technical Report
Publication Date
Feb 04, 1986
Accession Number
ADA164462

Entities

People

  • A. K. Rajagopal
  • K. L. Ngai
  • R. W. Rendell
  • S. Teitler

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Classification
  • Complex Systems
  • Crystal Structure
  • Cubic Lattices
  • Dielectric Properties
  • Dielectrics
  • Distribution Functions
  • Electric Fields
  • Experimental Data
  • Materials
  • Materials Laboratories
  • Materials Testing
  • Military Research
  • Polymers
  • Probability
  • Random Walk
  • Relaxation Time

Readers

  • Calculus or Mathematical Analysis
  • Neural Network Machine Learning.
  • Systems Analysis and Design