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Regular and Chaotic Dynamics, 2019, Volume 24, Issue 6, Pages 615–627
DOI: https://doi.org/10.1134/S1560354719060030 (Mi rcd1029) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Roaming at Constant Kinetic Energy: Chesnavich's Model and the Hamiltonian Isokinetic Thermostat

Vladimír Krajnáka, Gregory S. Ezrab, Stephen Wigginsa

a School of Mathematics, University of Bristol, Bristol, BS8 1TW, United Kingdom
b Department of Chemistry and Chemical Biology, Baker Laboratory, Cornell University, Ithaca, NY 14853, USA
Citations (8)
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DOI: https://doi.org/10.1134/S1560354719060030
Abstract: We consider the roaming mechanism for chemical reactions under the nonholonomic constraint of constant kinetic energy. Our study is carried out in the context of the Hamiltonian isokinetic thermostat applied to Chesnavich’s model for an ion-molecule reaction. Through an analysis of phase space structures we show that imposing the nonholonomic constraint does not prevent the system from exhibiting roaming dynamics, and that the origin of the roaming mechanism turns out to be analogous to that found in the previously studied Hamiltonian case.
Keywords: nonholonomic constraint, phase space structures, invariant manifolds, chemical reaction, roaming.
Funding agency Grant number
Engineering and Physical Sciences Research Council EP/P021123/1
Office of Naval Research N00014-01-1-0769
We acknowledge the support of EPSRC Grant no. EP/P021123/1 and Office of Naval Research (Grant No. N00014-01-1-0769).
Received: 14.08.2019
Accepted: 07.10.2019
Bibliographic databases:
Document Type: Article
MSC: 37Jxx, 37J45, 37G15, 70Hxx, 70H33
Language: English
Citation: Vladimír Krajnák, Gregory S. Ezra, Stephen Wiggins, “Roaming at Constant Kinetic Energy: Chesnavich's Model and the Hamiltonian Isokinetic Thermostat”, Regul. Chaotic Dyn., 24:6 (2019), 615–627
Citation in format AMSBIB
\Bibitem{KraEzrWig19}
\by Vladim{\'\i}r Krajn\'ak, Gregory S. Ezra, Stephen Wiggins
\paper Roaming at Constant Kinetic Energy: Chesnavich's Model and the Hamiltonian Isokinetic Thermostat
\jour Regul. Chaotic Dyn.
\yr 2019
\vol 24
\issue 6
\pages 615--627
\mathnet{http://mi.mathnet.ru/rcd1029}
\crossref{https://doi.org/10.1134/S1560354719060030}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85076369627}
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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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    References:30
     
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