The arcsine law as a universal aging scheme for trap models

Gérard Ben Arous, Jiří Černý

Research output: Contribution to journalArticle

Abstract

We give a general proof of aging for trap models using the arcsine law for stable subordinators. This proof is based on abstract conditions on the potential theory of the underlying graph and on the randomness of the trapping landscape. We apply this proof to aging for trap models on large, two-dimensional tori and for trap dynamics of the random energy model on a broad range of time scales.

Original languageEnglish (US)
Pages (from-to)289-329
Number of pages41
JournalCommunications on Pure and Applied Mathematics
Volume61
Issue number3
DOIs
StatePublished - Mar 2008

Fingerprint

Arc-sine Law
Trap
Aging of materials
Subordinator
Energy Model
Potential Theory
Trapping
Randomness
Torus
Time Scales
Model
Graph in graph theory
Range of data

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

The arcsine law as a universal aging scheme for trap models. / Ben Arous, Gérard; Černý, Jiří.

In: Communications on Pure and Applied Mathematics, Vol. 61, No. 3, 03.2008, p. 289-329.

Research output: Contribution to journalArticle

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