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- W2000346151 abstract "We study the aging phenomenon for a class of interacting diffusion processes {Xt(i),i∈Zd}. In this framework we see the effect of the lattice dimension d on aging, as well as that of the class of test functions f(Xt) considered. We further note the sensitivity of aging to specific details, when degenerate diffusions (such as super random walk, or parabolic Anderson model), are considered. We complement our study of systems on the infinite lattice, with that of their restriction to finite boxes. In the latter setting we consider different regimes in terms of box size scaling with time, as well as the effect that the choice of boundary conditions has on aging. The key tool for our analysis is the random walk representation for such diffusions. Nous considérons le phénomène du vieillissement pour une classe de diffusions en interaction. Dans ce cadre l'effet de la dimension du réseau ainsi que le type des fonctions test sont mis en évidence. Nous notons aussi l'influence de certains paramètres tels que la dégénérescence du coefficient de diffusion, par exemple pour le « super randow walk » ou le modèle d'Anderson parabolique. Nous considérons aussi des systèmes restreints à des boîtes finies. Dans ce cas, la taille de la boîte ainsi que les conditions au bord ont un effet sur le vieillissement. L'outil clef pour notre analyse est la représentation en marche aléatoire." @default.
- W2000346151 created "2016-06-24" @default.
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- W2000346151 date "2007-07-01" @default.
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- W2000346151 title "Aging for interacting diffusion processes" @default.
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- W2000346151 doi "https://doi.org/10.1016/j.anihpb.2006.07.001" @default.
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