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We present a practical method to generate classical trajectories with fixedinitial and final boundary conditions. Our method is based on the minimizationof a suitably defined discretized action. The method finds its most naturalapplication in the study of rare events. Its capabilities are illustrated bynon-trivial examples. The algorithm lends itself to straightforwardparallelization, and when combined with molecular dynamics (MD) it promises tooffer a powerful tool for the study of chemical reactions.Comment: 7 Pages, 4 Figures (3 in color), submitted to Phys. Rev. Let

Action-Derived Molecular Dynamics in the Study of Rare Events