Ground state properties of Frenkel-Kontorova models with scalloped potentials

dc.contributor	Graduate Program in Physics.
dc.contributor.advisor	Mungan, Muhittin.
dc.contributor.author	Yolcu, Cem.
dc.date.accessioned	2023-03-16T10:37:56Z
dc.date.available	2023-03-16T10:37:56Z
dc.date.issued	2007.
dc.description.abstract	In this thesis, the ground state con guration of the Frenkel-Kontorova model with a scalloped external potential is investigated. The method of e ective potentials of Gri ths and Chou is extended by a novel approach involving the Burgers' equation of uid dynamics. This approach is then employed to predict the e ective potential at the end of a semi-in nite harmonic chain of particles in a periodic scalloped external potential. We explicitly construct the ground state con guration of particles, where the period of the particle spacing is close to that of the external potential. Our results are in agreement with previous exact results for this problem, thereby validating our method of approach.
dc.format.extent	30cm.
dc.format.pages	xi, 71 leaves;
dc.identifier.other	PHYS 2007 Y65
dc.identifier.uri	https://digitalarchive.library.bogazici.edu.tr/handle/123456789/13677
dc.publisher	Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2007.
dc.relation	Includes appendices.
dc.relation	Includes appendices.
dc.subject.lcsh	Solid state physics.
dc.title	Ground state properties of Frenkel-Kontorova models with scalloped potentials

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