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Communication: transition state trajectory stability determines barrier crossing rates in chemical reactions induced by time-dependent oscillating fields
journal contribution
posted on 2015-05-22, 11:12 authored by Galen T. Craven, Thomas BartschThomas Bartsch, Rigoberto HernandezWhen a chemical reaction is driven by an external field, the transition state that the system must pass through as it changes from reactant to product—for example, an energy barrier—becomes timedependent.
We show that for periodic forcing the rate of barrier crossing can be determined through
stability analysis of the non-autonomous transition state. Specifically, strong agreement is observed between the difference in the Floquet exponents describing stability of the transition state trajectory,
which defines a recrossing-free dividing surface [G. T. Craven, T. Bartsch, and R. Hernandez,“Persistence of transition state structure in chemical reactions driven by fields oscillating in time,”Phys. Rev. E 89, 040801(R) (2014)], and the rates calculated by simulation of ensembles of trajectories.
This result opens the possibility to extract rates directly from the intrinsic stability of the transition state, even when it is time-dependent, without requiring a numerically expensive simulation
of the long-time dynamics of a large ensemble of trajectories
Funding
National Science Foundation (NSF) through Grant No.NSF-CHE-1112067. Travel between partners was partially supported through the People Programme (Marie Curie Actions) of the European Union’s (EU) Seventh Framework Programme FP7/2007-2013/ under REA Grant Agreement No.294974
History
School
- Science
Department
- Mathematical Sciences
Published in
JOURNAL OF CHEMICAL PHYSICSVolume
141Issue
4Pages
? - ? (5)Citation
CRAVEN, G.T., BARTSCH, T. and HERNANDEZ, R., 2014. Communication: transition state trajectory stability determines barrier crossing rates in chemical reactions induced by time-dependent oscillating fields. Journal of Chemical Physics, 141 (4), 041106.Publisher
© AIP Publishing LLCVersion
- VoR (Version of Record)
Publication date
2014Notes
Copyright (2014) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Journal of Chemical Physics and may be found at http://dx.doi.org/10.1063/1.4891471ISSN
0021-9606Publisher version
Language
- en