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

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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.

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Funding

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.

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Authors and Affiliations

  1. School of Mathematics, University of Bristol, Fry Building, Woodland Road, BS8 1UG, Bristol, United Kingdom

    Makrina Agaoglou, Matthaios Katsanikas & Stephen Wiggins

  2. Instituto de Ciencias Matematicas, C/Nicolas Cabrera 13-15, Campus Cantoblanco, 28049, Madrid, Spain

    Makrina Agaoglou

  3. Research Center for Astronomy and Applied Mathematics, Academy of Athens, Soranou Efesiou 4, GR-11527, Athens, Greece

    Matthaios Katsanikas

Authors
  1. Makrina Agaoglou
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  2. Matthaios Katsanikas
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  3. Stephen Wiggins
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Corresponding authors

Correspondence to Makrina Agaoglou, Matthaios Katsanikas or Stephen Wiggins.

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The authors declare that they have no conflicts of interest.

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MSC2010

37N99, 70K44, 70H05, 70H07, 34C45, 34C37

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Agaoglou, M., Katsanikas, M. & Wiggins, S. The Influence of a Parameter that Controls the Asymmetry of a Potential Energy Surface with an Entrance Channel and Two Potential Wells. Regul. Chaot. Dyn. 27, 232–241 (2022). https://doi.org/10.1134/S1560354722020071

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  • DOI: https://doi.org/10.1134/S1560354722020071

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