K-processes, scaling limit and aging for the REM-like trap model

Details K-processes, scaling limit and aging for the REM-like trap model K-processes, scaling limit and aging for the REM-like trap model

2006-03-08

arxiv.org/abs/math/0603198v2

Mathematics

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31 pages

Scientific paper

We study K-processes, which are Markov processes in a denumerable state space, all of whose elements are stable, with the exception of a single state, starting from which the process enters finite sets of stable states with uniform distribution. We show how these processes arise, in a particular instance, as scaling limits of the REM-like trap model ``at low temperature'', and subsequently derive aging results for those models in this context.

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