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Journal Articles Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal Year : 2014

Mathematical Analysis of Temperature Accelerated Dynamics

Abstract

We give a mathematical framework for temperature accelerated dynamics (TAD), an algorithm proposed by M.R. S{\o}rensen and A.F. Voter to efficiently generate metastable stochastic dynamics. Using the notion of quasistationary distributions, we propose some modifications to TAD. Then considering the modified algorithm in an idealized setting, we show how TAD can be made mathematically rigorous.

Dates and versions

hal-00827263 , version 1 (29-05-2013)

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David Aristoff, Tony Lelièvre. Mathematical Analysis of Temperature Accelerated Dynamics. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2014, 12 (1), pp.290-317. ⟨10.1137/130923063⟩. ⟨hal-00827263⟩
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