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Regular and Chaotic Dynamics, 2022, Volume 27, Issue 2, Pages 232–241
DOI: https://doi.org/10.1134/S1560354722020071
(Mi rcd1162)
 

This article is cited in 1 scientific paper (total in 1 paper)

Alexey Borisov Memorial Volume

The Influence of a Parameter that Controls the Asymmetry of a Potential Energy Surface with an Entrance Channel and Two Potential Wells

Makrina Agaoglouab, Matthaios Katsanikasca, Stephen Wigginsa

a School of Mathematics, University of Bristol, Fry Building, Woodland Road, BS8 1UG Bristol, United Kingdom
b Instituto de Ciencias Matematicas, C/Nicolas Cabrera 13-15, Campus Cantoblanco, 28049 Madrid, Spain
c Research Center for Astronomy and Applied Mathematics, Academy of Athens, Soranou Efesiou 4, GR-11527 Athens, Greece
Citations (1)
References:
Abstract: In this paper we study an asymmetric valley-ridge inflection point (VRI) potential, whose energy surface (PES) features two sequential index-1 saddles (the upper and the lower), with one saddle having higher energy than the other, and two potential wells separated by the lower index-1 saddle. We show how the depth and the flatness of our potential changes as we modify the parameter that controls the asymmetry as well as how the branching ratio (ratio of the trajectories that enter each well) is changing as we modify the same parameter and its correlation with the area of the lobes as they have been formed by the stable and unstable manifolds that have been extracted from the gradient of the LD scalar fields.
Keywords: phase space structure, Lagrangian descriptors, chemical reaction dynamics, valley ridge inflection point potential.
Funding agency Grant number
Engineering and Physical Sciences Research Council EP/P021123/1
Ministerio de Ciencia e Innovación de España CEX2019-000904-S
IJC2019-040168-I
The authors acknowledge the support of EPSRC Grant No. EP/P021123/1 and MA also acknowledges the support from the grant CEX2019-000904-S and IJC2019-040168-I funded by: MCIN/AEI/10.13039/501100011033.
Received: 15.03.2021
Accepted: 26.11.2021
Bibliographic databases:
Document Type: Article
Language: English
Citation: Makrina Agaoglou, Matthaios Katsanikas, Stephen Wiggins, “The Influence of a Parameter that Controls the Asymmetry of a Potential Energy Surface with an Entrance Channel and Two Potential Wells”, Regul. Chaotic Dyn., 27:2 (2022), 232–241
Citation in format AMSBIB
\Bibitem{AgaKatWig22}
\by Makrina Agaoglou, Matthaios Katsanikas, Stephen Wiggins
\paper The Influence of a Parameter that Controls the Asymmetry
of a Potential Energy Surface with an Entrance Channel
and Two Potential Wells
\jour Regul. Chaotic Dyn.
\yr 2022
\vol 27
\issue 2
\pages 232--241
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\crossref{https://doi.org/10.1134/S1560354722020071}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4404185}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85127553346}
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  • https://www.mathnet.ru/eng/rcd/v27/i2/p232
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:92
    References:27
     
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