Abstract We provide a dynamical interpretation of the recently identified ‘roaming’ mechanism for molecular dissociation reactions in terms of geometrical structures in phase space. These are \NHIMs\ (Normally Hyperbolic Invariant Manifolds) and their stable/unstable manifolds that define transition states for ion–molecule association or dissociation reactions. The associated dividing surfaces rigorously define a roaming region of phase space, in which both reactive and non reactive trajectories can be trapped for arbitrarily long times.
%0 Journal Article
%1 Mauguière2014282
%A Mauguière, Frédéric A.L.
%A Collins, Peter
%A Ezra, Gregory S.
%A Farantos, Stavros C.
%A Wiggins, Stephen
%D 2014
%J Chemical Physics Letters
%K ODEs analysis chemistry classical dynamics mathematics mechanics physics qualitative reaction unread
%P 282-287
%R 10.1016/j.cplett.2013.12.051
%T Multiple transition states and roaming in ion–molecule reactions: A phase space perspective
%U http://www.sciencedirect.com/science/article/pii/S000926141301539X
%V 592
%X Abstract We provide a dynamical interpretation of the recently identified ‘roaming’ mechanism for molecular dissociation reactions in terms of geometrical structures in phase space. These are \NHIMs\ (Normally Hyperbolic Invariant Manifolds) and their stable/unstable manifolds that define transition states for ion–molecule association or dissociation reactions. The associated dividing surfaces rigorously define a roaming region of phase space, in which both reactive and non reactive trajectories can be trapped for arbitrarily long times.
@article{Mauguière2014282,
abstract = {Abstract We provide a dynamical interpretation of the recently identified ‘roaming’ mechanism for molecular dissociation reactions in terms of geometrical structures in phase space. These are \{NHIMs\} (Normally Hyperbolic Invariant Manifolds) and their stable/unstable manifolds that define transition states for ion–molecule association or dissociation reactions. The associated dividing surfaces rigorously define a roaming region of phase space, in which both reactive and non reactive trajectories can be trapped for arbitrarily long times. },
added-at = {2014-01-25T03:08:22.000+0100},
author = {Mauguière, Frédéric A.L. and Collins, Peter and Ezra, Gregory S. and Farantos, Stavros C. and Wiggins, Stephen},
biburl = {https://www.bibsonomy.org/bibtex/221bfb7c0e575c2b5c5c183ede9f0716d/drmatusek},
doi = {10.1016/j.cplett.2013.12.051},
interhash = {6cc47cc11020bf20a0542ad3cc4421ab},
intrahash = {21bfb7c0e575c2b5c5c183ede9f0716d},
issn = {0009-2614},
journal = {Chemical Physics Letters },
keywords = {ODEs analysis chemistry classical dynamics mathematics mechanics physics qualitative reaction unread},
month = jan,
pages = {282-287},
timestamp = {2014-01-25T03:08:22.000+0100},
title = {Multiple transition states and roaming in ion–molecule reactions: A phase space perspective },
url = {http://www.sciencedirect.com/science/article/pii/S000926141301539X},
volume = 592,
year = 2014
}