Mathematical Analysis of Temperature Accelerated Dynamics

Abstract

We give a mathematical framework for temperature accelerated dynamics (TAD), an algorithm proposed by M.R. Sørensen 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.

28 pages, 2 figures

References in corpus (2)

• Poincaré and logarithmic Sobolev inequalities by decomposition of the energy landscape
• Low temperature asymptotics for Quasi-Stationary Distributions in a bounded domain

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