Characterization of the one-dimensional fractal structures by correlations, cumulants and moments as applied to high-energy hadronic rapidity correlations.

Persistent Link:
http://hdl.handle.net/10150/185479
Title:
Characterization of the one-dimensional fractal structures by correlations, cumulants and moments as applied to high-energy hadronic rapidity correlations.
Author:
Hakioglu, Tugrul T.
Issue Date:
1991
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
In this dissertation we investigate the question that high energy irregular rapidity events can be generated by finite samples of one dimensional fractal structures. The idea is basically to generate a rapidity histogram by transforming a one-dimensional map of which the histogram is known and simple a one-dimensional map with the desired histogram. Then studying the system in different dynamical regimes we analyse the properties of factorial moments, cumulants and multifractal properties. It is useful to have such models in the sense that one then has a direct ability to check some of the quantitative features that can be distinguished from each other because they refer to different dynamical regimes (i.e. intermittency and chaos). In studying such models we analyse the qualitative and quantitative features of the question of hadronic intermittency in comparison with the same features in those models both theoretically and experimentally. We finally made an analogy with the field theory formalism of hadron production and Quantum Optics in which the question of regularity vs. irregularity has been asked much earlier.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Dissertations, Academic; Hadrons; Particles (Nuclear physics).
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Physics; Graduate College
Degree Grantor:
University of Arizona
Advisor:
Carruthers, P.

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleCharacterization of the one-dimensional fractal structures by correlations, cumulants and moments as applied to high-energy hadronic rapidity correlations.en_US
dc.creatorHakioglu, Tugrul T.en_US
dc.contributor.authorHakioglu, Tugrul T.en_US
dc.date.issued1991en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractIn this dissertation we investigate the question that high energy irregular rapidity events can be generated by finite samples of one dimensional fractal structures. The idea is basically to generate a rapidity histogram by transforming a one-dimensional map of which the histogram is known and simple a one-dimensional map with the desired histogram. Then studying the system in different dynamical regimes we analyse the properties of factorial moments, cumulants and multifractal properties. It is useful to have such models in the sense that one then has a direct ability to check some of the quantitative features that can be distinguished from each other because they refer to different dynamical regimes (i.e. intermittency and chaos). In studying such models we analyse the qualitative and quantitative features of the question of hadronic intermittency in comparison with the same features in those models both theoretically and experimentally. We finally made an analogy with the field theory formalism of hadron production and Quantum Optics in which the question of regularity vs. irregularity has been asked much earlier.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectDissertations, Academicen_US
dc.subjectHadronsen_US
dc.subjectParticles (Nuclear physics).en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplinePhysicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorCarruthers, P.en_US
dc.contributor.committeememberScadron, M.D.en_US
dc.contributor.committeememberStein, D.en_US
dc.contributor.committeememberBurrows, A.en_US
dc.contributor.committeememberStark, R.en_US
dc.identifier.proquest9125457en_US
dc.identifier.oclc710469277en_US
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