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Download fileInvariant manifolds and rate constants in driven chemical reactions
journal contribution
posted on 2019-03-18, 13:38 authored by Matthias Feldmaier, Philippe Schraft, Robin Bardakcioglu, Johannes Reiff, Melissa Lober, Martin Tschope, Andrej Junginger, Jorg Main, Thomas BartschThomas Bartsch, Rigoberto HernandezReaction 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.
Funding
The German portion of this collaborative work was partially supported by Deutsche Forschungsgemeinschaft (DFG) through Grant No. MA1639/14-1. The US portion was partially supported by the National Science Foundation (NSF) through Grant No. CHE 1700749. A.J. acknowledges the Alexander von Humboldt Foundation, Germany, for support through a Feodor Lynen Fellowship. M.F. is grateful for support from the Landesgraduiertenförderung of the Land Baden-Württemberg. This collaboration has also benefited from support by the European Union’s Horizon 2020 Research and Innovation Program under the Marie Sklodowska-Curie Grant Agreement No. 734557.
History
School
- Science
Department
- Mathematical Sciences
Published in
The Journal of Physical Chemistry BVolume
123Issue
9Pages
2070 - 2086Citation
FELDMAIER, M. ... et al, 2019. Invariant manifolds and rate constants in driven chemical reactions. The Journal of Physical Chemistry B, 123 (9), pp.2070-2086.Publisher
© American Chemical SocietyVersion
- AM (Accepted Manuscript)
Publisher statement
This document is the Accepted Manuscript version of a Published Work that appeared in final form in The Journal of Physical Chemistry B, copyright © American Chemical Society after peer review and technical editing by the publisher. To access the final edited and published work see https://doi.org/10.1021/acs.jpcb.8b10541Acceptance date
2019-02-07Publication date
2019-02-07Copyright date
2019ISSN
1520-6106eISSN
1520-5207Publisher version
Language
- en