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The arcsine law as a universal aging scheme for trap models
Author(s) -
Arous Gérard Ben,
Černý Jiří
Publication year - 2008
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.20177
Subject(s) - trap (plumbing) , randomness , mathematics , range (aeronautics) , statistical physics , trapping , statistics , physics , ecology , engineering , meteorology , biology , aerospace engineering
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. © 2006 Wiley Periodicals, Inc.