Dynamical behavior of graphene models

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dc.contributor.advisorSkokos, Charalampos (Haris)en_ZA
dc.contributor.authorNgapasare, Arnolden_ZA
dc.date.accessioned2018-02-12T08:53:58Z
dc.date.available2018-02-12T08:53:58Z
dc.date.issued2017en_ZA
dc.description.abstractSince the discovery of a method to obtain graphene in 2004, there has been intensive research on this material by several researchers ranging from investigations of its physical and chemical properties to some novel applications of graphene. The discovery of graphene came about despite the fact that some leading researchers such as Landau and Peierls had predicted that twodimensional (2D) crystals were thermodynamically unstable. Andre Geim and Konstantin Novoselov managed to obtain graphene using a rather surprising technique called the scotch tape method. The scotch tape method involves carefully peeling off layer after layer in graphite which is a three-dimensional (3D) material without making any distortions to the subsequent layers. Due to the many applications of graphene, understanding the dynamical behavior of the material is a very important problem. In order to investigate the chaoticity in graphene, empirical force fields appropriate for modeling its dynamics are required. In this study we use such models which have been established to accurately describe bond stretching and bond deformation in graphene. Based on the corresponding Hamiltonian formalism we derive the system's Hamilton equations of motion, whose numerical solution determine the dynamical behavior of graphene, as well as the so-called variational equations needed for the numerical computation of several chaos indicators like the maximum Lyapunov Characteristic Exponent.en_ZA
dc.identifier.apacitationNgapasare, A. (2017). <i>Dynamical behavior of graphene models</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/27520en_ZA
dc.identifier.chicagocitationNgapasare, Arnold. <i>"Dynamical behavior of graphene models."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2017. http://hdl.handle.net/11427/27520en_ZA
dc.identifier.citationNgapasare, A. 2017. Dynamical behavior of graphene models. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Ngapasare, Arnold AB - Since the discovery of a method to obtain graphene in 2004, there has been intensive research on this material by several researchers ranging from investigations of its physical and chemical properties to some novel applications of graphene. The discovery of graphene came about despite the fact that some leading researchers such as Landau and Peierls had predicted that twodimensional (2D) crystals were thermodynamically unstable. Andre Geim and Konstantin Novoselov managed to obtain graphene using a rather surprising technique called the scotch tape method. The scotch tape method involves carefully peeling off layer after layer in graphite which is a three-dimensional (3D) material without making any distortions to the subsequent layers. Due to the many applications of graphene, understanding the dynamical behavior of the material is a very important problem. In order to investigate the chaoticity in graphene, empirical force fields appropriate for modeling its dynamics are required. In this study we use such models which have been established to accurately describe bond stretching and bond deformation in graphene. Based on the corresponding Hamiltonian formalism we derive the system's Hamilton equations of motion, whose numerical solution determine the dynamical behavior of graphene, as well as the so-called variational equations needed for the numerical computation of several chaos indicators like the maximum Lyapunov Characteristic Exponent. DA - 2017 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2017 T1 - Dynamical behavior of graphene models TI - Dynamical behavior of graphene models UR - http://hdl.handle.net/11427/27520 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/27520
dc.identifier.vancouvercitationNgapasare A. Dynamical behavior of graphene models. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2017 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/27520en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherMathematics and Applied Mathematicsen_ZA
dc.titleDynamical behavior of graphene modelsen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMScen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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