Scattering off a time-dependent repeller

Thomas Bartsch

Loughborough University, Department of Mathematical Sciences, Loughborough, UK

Transition state theory is the fundamental theory of chemical reaction reates. Its central challenge is to distinguish between trajectories that will cross a phase space bottleneck and those that will be repelled. Recent developments in transition state theory brought about by dynamical systems theory are extended to time-dependent systems such as laser-driven reactions. Using time-dependent normal form theory, the authors construct a reaction coordinate with regular dynamics inside the transition region. The conservation of the associated action enables one to extract time-dependent invariant manifolds that act as separatrices between reactive and nonreactive trajectories and thus make it possible to predict the ultimate fate of a trajectory.

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