0
2013
Impact Factor

Gregory Ezra

Publications:

Krajňák V., Ezra G. S., Wiggins S.
Roaming at Constant Kinetic Energy: Chesnavich's Model and the Hamiltonian Isokinetic Thermostat
2019, vol. 24, no. 6, pp.  615-627
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
Citation: Krajňák V., Ezra G. S., Wiggins S.,  Roaming at Constant Kinetic Energy: Chesnavich's Model and the Hamiltonian Isokinetic Thermostat, Regular and Chaotic Dynamics, 2019, vol. 24, no. 6, pp. 615-627
DOI:10.1134/S1560354719060030
Carpenter B. K., Ezra G. S., Farantos S. C., Kramer Z. C., Wiggins S.
Dynamics on the Double Morse Potential: A Paradigm for Roaming Reactions with no Saddle Points
2018, vol. 23, no. 1, pp.  60-79
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
Citation: Carpenter B. K., Ezra G. S., Farantos S. C., Kramer Z. C., Wiggins S.,  Dynamics on the Double Morse Potential: A Paradigm for Roaming Reactions with no Saddle Points, Regular and Chaotic Dynamics, 2018, vol. 23, no. 1, pp. 60-79
DOI:10.1134/S1560354718010069

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