Invariant Manifolds and Rate Constants in Driven Chemical Reactions

Reaction rates of chemical reactions under nonequilibrium conditions can be determined through the construction of the normally hyperbolic invariant manifold (NHIM) [and moving dividing surface (DS)] associated with the transition state trajectory. Here, we extend our recent methods by constructing...

Full description

Saved in:
Bibliographic Details
Published in:The journal of physical chemistry. B 2019-03, Vol.123 (9), p.2070-2086
Main Authors: Feldmaier, Matthias, Schraft, Philippe, Bardakcioglu, Robin, Reiff, Johannes, Lober, Melissa, Tschöpe, Martin, Junginger, Andrej, Main, Jörg, Bartsch, Thomas, Hernandez, Rigoberto
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Reaction rates of chemical reactions under nonequilibrium conditions can be determined through the construction of the normally hyperbolic invariant manifold (NHIM) [and moving dividing surface (DS)] associated with the transition state trajectory. Here, we extend our recent methods by constructing points on the NHIM accurately even for multidimensional cases. We also advance the implementation of machine learning approaches to construct smooth versions of the NHIM from a known high-accuracy set of its points. That is, we expand on our earlier use of neural nets and introduce the use of Gaussian process regression for the determination of the NHIM. Finally, we compare and contrast all of these methods for a challenging two-dimensional model barrier case so as to illustrate their accuracy and general applicability.
ISSN:1520-6106
1520-5207
DOI:10.1021/acs.jpcb.8b10541