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

Luiz Renato Fontes; Pierre Mathieu

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arXiv · math/0603198

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

Luiz Renato Fontes·Pierre Mathieu

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Abstract

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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Luiz Renato Fontes, Pierre Mathieu. 2006-03-11. K-processes, scaling limit and aging for the REM-like trap model. https://arxiv.org/abs/math/0603198

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