Phase space structures governing reaction dynamics in rotating molecules

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dc.authorscopusid23481439700
dc.authorscopusid57203397243
dc.authorwosidCiftci, Unver/B-6108-2013
dc.contributor.authorÇiftçi, Ünver
dc.contributor.authorWaalkens, Holger
dc.date.accessioned2022-05-11T14:31:10Z
dc.date.available2022-05-11T14:31:10Z
dc.date.issued2012
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractRecently, the phase space structures governing reaction dynamics in Hamiltonian systems have been identified and algorithms for their explicit construction have been developed. These phase space structures are induced by saddle type equilibrium points which are characteristic for reaction type dynamics. Their construction is based on a Poincare-Birkhoff normal form. Using tools from the geometric theory of Hamiltonian systems and their reduction, we show in this paper how the construction of these phase space structures can be generalized to the case of the relative equilibria of a rotational symmetry reduced N-body system. As rotations almost always play an important role in the reaction dynamics of molecules, the approach presented in this paper is of great relevance for applications.
dc.description.sponsorshipNamik Kemal UniversityNamik Kemal University
dc.description.sponsorshipUC, is grateful for the hospitality of the Johann Bernoulli Institute for Mathematics and Computer Science at the University of Groningen where the research for this paper was carried out, and to Namik Kemal University for financial support during his stay.
dc.identifier.doi10.1088/0951-7715/25/3/791
dc.identifier.endpage812
dc.identifier.issn0951-7715
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-84857538584
dc.identifier.scopusqualityQ1
dc.identifier.startpage791
dc.identifier.urihttps://doi.org/10.1088/0951-7715/25/3/791
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7351
dc.identifier.volume25
dc.identifier.wosWOS:000300607900011
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorÇiftçi, Ünver
dc.language.isoen
dc.publisherIop Publishing Ltd
dc.relation.ispartofNonlinearity
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectTransition-State Theory
dc.subjectN-Body Problem
dc.subjectRelative Equilibria
dc.subjectHamiltonian-Systems
dc.subjectConfiguration-Space
dc.subjectClassical Mechanics
dc.subjectInternal Motions
dc.subjectGeometry
dc.subjectEnergy
dc.subjectBifurcations
dc.titlePhase space structures governing reaction dynamics in rotating molecules
dc.typeArticle

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