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Regular and Chaotic Dynamics, 2018, Volume 23, Issue 1, Pages 60–79
DOI: https://doi.org/10.1134/S1560354718010069 (Mi rcd309) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Dynamics on the Double Morse Potential: A Paradigm for Roaming Reactions with no Saddle Points

Barry K. Carpentera, Gregory S. Ezrab, Stavros C. Farantosc, Zeb C. Kramerd, Stephen Wigginse

a School of Chemistry, Cardiff University, Cardiff, CF10 3AT, United Kingdom
b Department of Chemistry and Chemical Biology, Cornell University, Ithaca, NY 14853-1301, United States
c Institute of Electronic Structure and Laser, Foundation for Research and Technology–Hellas, and Department of Chemistry, University of Crete, Iraklion, 711 10, Greece
d Department of Chemistry and Biochemistry, La Salle University, 1900 West Olney Avenue, Philadelphia, PA 19141, United States
e School of Mathematics, University of Bristol, Bristol, BS8 1TW, United Kingdom
Citations (8)
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DOI: https://doi.org/10.1134/S1560354718010069
Abstract: In this paper we analyze a two-degree-of-freedom Hamiltonian system constructed from two planar Morse potentials. The resulting potential energy surface has two potential wells surrounded by an unbounded flat region containing no critical points. In addition, the model has an index one saddle between the potential wells. We study the dynamical mechanisms underlying transport between the two potential wells, with emphasis on the role of the flat region surrounding the wells. The model allows us to probe many of the features of the “roaming mechanism” whose reaction dynamics are of current interest in the chemistry community.
Keywords: Double Morse potential, phase space structure, dynamics, periodic orbit, roaming.
Funding agency Grant number
Office of Naval Research N00014-01-1-0769
Engineering and Physical Sciences Research Council EP/P021123/1
SW acknowledges the support of ONR Grant No. N00014-01-1-0769. SW and BKC acknowledge the support of EPSRC Grant No. EP/P021123/1.
Received: 19.09.2017
Accepted: 15.12.2017
Bibliographic databases:
Document Type: Article
MSC: 37Axx, 37Jxx, 37Nxx, 37N20
Language: English
Citation: Barry K. Carpenter, Gregory S. Ezra, Stavros C. Farantos, Zeb C. Kramer, Stephen Wiggins, “Dynamics on the Double Morse Potential: A Paradigm for Roaming Reactions with no Saddle Points”, Regul. Chaotic Dyn., 23:1 (2018), 60–79
Citation in format AMSBIB
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\by Barry K. Carpenter, Gregory S. Ezra, Stavros C. Farantos, Zeb C. Kramer, Stephen Wiggins
\paper Dynamics on the Double Morse Potential: A Paradigm for Roaming Reactions with no Saddle Points
\jour Regul. Chaotic Dyn.
\yr 2018
\vol 23
\issue 1
\pages 60--79
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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