Ultradiffusion: the relaxation of hierarchical systems
- 21 April 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (6), L331-L336
- https://doi.org/10.1088/0305-4470/18/6/013
Abstract
The authors show that the dynamics of relaxation in hierarchical structures leads to an anomalous decay process which they term ultradiffusion. Using renormalisation group techniques, they explicitly calculate the behaviour of the autocorrelation function in a one-dimensional hierarchical system and show its universal power law decay as a function of temperature. The authors also demonstrate analytically the emergence of a hierarchy of time scales. This phenomenon is relevant to systems ranging from macromolecules to computing structures.Keywords
This publication has 10 references indexed in Scilit:
- Understanding biological computation: reliable learning and recognition.Proceedings of the National Academy of Sciences, 1984
- Models of Hierarchically Constrained Dynamics for Glassy RelaxationPhysical Review Letters, 1984
- Nature of the Spin-Glass PhasePhysical Review Letters, 1984
- Adaptation and Self-Repair in Parallel Computing StructuresPhysical Review Letters, 1984
- Protein Conformation, Dynamics, and Folding by Computer SimulationAnnual Review of Biophysics and Bioengineering, 1982
- Time-Dependent Order Parameters in Spin-GlassesPhysical Review Letters, 1981
- Experimental studies on 1/f noiseReports on Progress in Physics, 1981
- Superionic conductors: Transitions, structures, dynamicsPhysics Reports, 1979
- Dynamics of ligand binding to myoglobinBiochemistry, 1975
- Aggregation of Variables in Dynamic SystemsEconometrica, 1961