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Mathematical Analysis of Temperature Accelerated Dynamics

David Aristoff 1 Tony Lelièvre 2, 3
3 MATHERIALS - MATHematics for MatERIALS
CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique, Inria Paris-Rocquencourt, ENPC - École des Ponts ParisTech
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.
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https://hal.inria.fr/hal-00827263
Contributor : Tony Lelièvre <>
Submitted on : Wednesday, May 29, 2013 - 9:47:15 AM
Last modification on : Thursday, May 6, 2021 - 9:44:03 AM

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

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