A role for a brachistochrone in the broken ergodicity scenario

Gustavo A Appignanesi

Physica A: Statistical Mechanics and its Applications, 2000, vol. 276, issue 3, 413-424

Abstract: We show that the time evolution of ergodic decomposition is outlined by a variational principle for a rather universal class of complex systems with a quasicontinuous spectrum of intrinsic relaxation timescales. In turn, this variational approach enables us to single out a logarithmic scaling law for the barriers on the hierarchical level. Such a logarithmic dependence has already been shown to hold valid for certain complex systems. Moreover, it represents a key factor to explain the experimentally ubiquitous Debye–Kohlrausch relaxation law and plays a central role on different theoretical model descriptions within this field.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:276:y:2000:i:3:p:413-424

DOI: 10.1016/S0378-4371(99)00460-4

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