Dynamics and decay rates of a time-dependent two-saddle system

Abstract

The framework of transition state theory (TST) provides a powerful way for analyzing the dynamics of physical and chemical reactions. While TST has already been successfully used to obtain reaction rates for systems with a single time-dependent saddle point, multiple driven saddles have proven challenging because of their fractal-like phase space structure. This paper presents the construction of an approximately recrossing-free dividing surface based on the normally hyperbolic invariant manifold in a time-dependent two-saddle model system. Based on this, multiple methods for obtaining instantaneous (time-resolved) decay rates of the underlying activated complex are presented and their results discussed.

13 pages and 9 figures

References in corpus (4)

• Transition state trajectory stability determines barrier crossing rates in chemical reactions induced by time-dependent oscillating fields
• Invariant Manifolds and Rate Constants in Driven Chemical Reactions
• Influence of external driving on decays in the geometry of the LiCN isomerization
• Phase-space resolved rates in driven multidimensional chemical reactions

Cited by in corpus (3)

• On the stability of satellites at unstable libration points of sun-planet-moon systems
• Dynamics and bifurcations on the normally hyperbolic invariant manifold of a periodically driven system with rank-1 saddle
• Transition state theory characterizes thin film macrospin dynamics driven by an oscillatory magnetic field: Inertial effects