Classical dynamics of escape in a periodically driven unbound hamiltonian system: Initial phase effects

Konstantinidis, L; Constantoudis, V; Nicolaides, CA

dc.contributor.author	Konstantinidis, L	en
dc.contributor.author	Constantoudis, V	en
dc.contributor.author	Nicolaides, CA	en
dc.date.accessioned	2014-03-01T01:35:24Z
dc.date.available	2014-03-01T01:35:24Z
dc.date.issued	2011	en
dc.identifier.issn	0218-1274	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21030
dc.subject	Hamiltonian system	en
dc.subject	KAM tori	en
dc.subject	Morse oscillator	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Multidisciplinary Sciences	en
dc.subject.other	Classical dynamics	en
dc.subject.other	Energy exchanges	en
dc.subject.other	Escape probability	en
dc.subject.other	External fields	en
dc.subject.other	Field amplitudes	en
dc.subject.other	Hamiltonian systems	en
dc.subject.other	In-phase	en
dc.subject.other	Interaction time	en
dc.subject.other	KAM tori	en
dc.subject.other	Molecular dissociation	en
dc.subject.other	Morse oscillator	en
dc.subject.other	Periodic fields	en
dc.subject.other	Periodic orbits	en
dc.subject.other	Phase effects	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Phase space methods	en
dc.subject.other	Hamiltonians	en
dc.title	Classical dynamics of escape in a periodically driven unbound hamiltonian system: Initial phase effects	en
heal.type	journalArticle	en
heal.identifier.primary	10.1142/S0218127411029951	en
heal.identifier.secondary	http://dx.doi.org/10.1142/S0218127411029951	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	We consider the problem of a classical Morse oscillator driven by an external periodic field of controllable characteristics and study systematically the effects of the initial phase of the external field on the probability of escape upon molecular dissociation at the end of the interaction time. First, it is shown that such effects indeed exist and may become important depending on the field amplitude and frequency. Then, an explanation is given in terms of the energy exchanges between the basic periodic orbits and the external field and of the associated modifications of the shape of regular islands in phase space. Finally, we exploit this explanation in order to make predictions regarding the behavior of the escape probability as a function of the initial phase and frequency of the external field. © 2011 World Scientific Publishing Company.	en
heal.publisher	WORLD SCIENTIFIC PUBL CO PTE LTD	en
heal.journalName	International Journal of Bifurcation and Chaos	en
dc.identifier.doi	10.1142/S0218127411029951	en
dc.identifier.isi	ISI:000297068700013	en
dc.identifier.volume	21	en
dc.identifier.issue	9	en
dc.identifier.spage	2587	en
dc.identifier.epage	2596	en