An Examination of Models of Relaxation in Complex Systems. I. Continuous Time Random Walk (CTRW) Models.
Interim rept. Apr-Oct 85,
NAVAL RESEARCH LAB WASHINGTON DC
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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.
- Numerical Mathematics