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      Minimum action method for the study of rare events

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      Communications on Pure and Applied Mathematics
      Wiley

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          Stochastic Equations in Infinite Dimensions

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            Is Open Access

            String Method for the Study of Rare Events

            We present a new and efficient method for computing the transition pathways, free energy barriers, and transition rates in complex systems with relatively smooth energy landscapes. The method proceeds by evolving strings, i.e. smooth curves with intrinsic parametrization whose dynamics takes them to the most probable transition path between two metastable regions in the configuration space. Free energy barriers and transition rates can then be determined by standard umbrella sampling technique around the string. Applications to Lennard-Jones cluster rearrangement and thermally induced switching of a magnetic film are presented.
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              Random Perturbations of Dynamical Systems

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                Author and article information

                Journal
                Communications on Pure and Applied Mathematics
                Comm. Pure Appl. Math.
                Wiley
                0010-3640
                1097-0312
                May 2004
                May 2004
                2004
                : 57
                : 5
                : 637-656
                Article
                10.1002/cpa.20005
                f9853485-b185-4463-abed-8642b6bb2319
                © 2004

                http://doi.wiley.com/10.1002/tdm_license_1.1

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