Phase space transport in a symmetric Caldera potential with three index-1 saddles and no minima
arXiv:2205.14770 · doi:10.1142/S0218127422300233
Abstract
We apply the method of Lagrangian Descriptors (LDs) to a symmetric Caldera-type potential energy surface which has three index-1 saddles surrounding a relatively flat region that contains no minimum. Using this method we show the phase space transport mechanism that is responsible for the existence and non-existence of the phenomenon of dynamical matching for this form of Caldera potential energy surface.
10 pages, 7 figures
References in corpus (8)
- A Theoretical Framework for Lagrangian Descriptors
- Lagrangian Descriptors for Two Dimensional, Area Preserving, Autonomous and Nonautonomous Maps
- Nonstatistical dynamics on the caldera
- The Dynamical Matching Mechanism in Phase Space for Caldera-Type Potential Energy Surfaces
- Lagrangian Descriptors for Stochastic Differential Equations: A Tool for Revealing the Phase Portrait of Stochastic Dynamical Systems
- The Nature of Reactive and Non-reactive Trajectories for a Three Dimensional Caldera Potential Energy Surface
- The Influence of a Pitchfork Bifurcation of the Critical Points of a Symmetric Caldera Potential Energy Surface on Dynamical Matching
- From Poincare Maps to Lagrangian Descriptors: The Case of the Valley Ridge Inflection Point Potential