Abstract
Empirical evidence has accumulated showing the wide occurrence of a stretched-exponential relaxation decay law for many diverse condensed-matter systems. Several theories based on different physical mechanisms have been successful in deriving the stretched-exponential decay law in a natural way. Three of these theories, the direct-transfer model, the hierarchically constrained dynamics model, and the defect-diffusion model are shown here to have an underlying common mathematical structure.
Keywords
Statistical physicsRelaxation (psychology)Exponential functionDiffusionExponential decayExponential growthPhysicsTheoretical physicsChemical physicsThermodynamicsMathematicsQuantum mechanicsMathematical analysisNeurosciencePsychology
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Publication Info
- Year
- 1986
- Type
- article
- Volume
- 83
- Issue
- 4
- Pages
- 848-851
- Citations
- 410
- Access
- Closed
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Cite This
J. Klafter,
Michael F. Shlesinger
(1986).
On the relationship among three theories of relaxation in disordered systems.
Proceedings of the National Academy of Sciences
, 83
(4)
, 848-851.
https://doi.org/10.1073/pnas.83.4.848
Identifiers
- DOI
- 10.1073/pnas.83.4.848