Trap models with vanishing drift: Scaling limits and aging regimes

Nina Gantert; Peter Moerters; Vitali Wachtel

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arXiv · 1003.1490

Trap models with vanishing drift: Scaling limits and aging regimes

Nina Gantert·Peter Moerters·Vitali Wachtel

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Abstract

We discuss the long term behaviour of trap models on the integers with asymptotically vanishing drift, providing scaling limit theorems and ageing results. Depending on the tail behaviour of the traps and the strength of the drift, we identify three different regimes, one of which features a previously unobserved limit process.

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Nina Gantert, Peter Moerters, Vitali Wachtel. 2010-03-07. Trap models with vanishing drift: Scaling limits and aging regimes. https://arxiv.org/abs/1003.1490

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