Reaction rate calculation with time-dependent invariant manifolds

Abstract

The identification of trajectories that contribute to the reaction rate is the crucial dynamical ingredient in any classical chemical reactivity calculation. This problem often requires a full scale numerical simulation of the dynamics, in particular if the reactive system is exposed to the influence of a heat bath. As an efficient alternative, we propose here to compute invariant surfaces in the phase space of the reactive system that separate reactive from nonreactive trajectories. The location of these invariant manifolds depends both on time and on the realization of the driving force exerted by the bath. These manifolds allow the identification of reactive trajectories simply from their initial conditions, without the need of any further simulation. In this paper, we show how these invariant manifolds can be calculated, and used in a formally exact reaction rate calculation based on perturbation theory for any multidimensional potential coupled to a noisy environment.

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Cited by in corpus (7)

• Chemical reactions induced by oscillating external fields in weak thermal environments
• Transition state trajectory stability determines barrier crossing rates in chemical reactions induced by time-dependent oscillating fields
• Persistence of transition state structure in chemical reactions driven by fields oscillating in time
• Transition State Theory for solvated reactions beyond recrossing-free dividing surfaces
• Thermal decay rates of an activated complex in a driven model chemical reaction
• Nonequilibrium statistics of barrier crossings with competing pathways
• Identification of the invariant manifolds of the LiCN molecule using Lagrangian descriptors