Schwarzian derivative of third chaotic transition in mercury based superconductors

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dc.contributor.authorAslan Çataltepe, Özden
dc.date.accessioned2025-02-09T14:34:54Z
dc.date.available2025-02-09T14:34:54Z
dc.date.issued2019
dc.departmentFakülteler, Mühendislik Fakültesi, Mekatronik Mühendisliği Bölümü
dc.description.abstractThe superconductivity displays some nonlinear quantum properties such as quantum chaotic transitions, effective mass of quasi-particles. The calculation of the effective mass equation of the mercury based superconductor has a crucial step in order to determine chaotic behavior of the sample. The sample has three quantum chaotic points; the critical transition (Tc), paramagnetic Meissner transition (TPME) and the quantum gravitational transition temperatures (TQG). Tc and TPME were already investigated by means of Schwarzian derivative and it was found that the Schwarzian derivatives are both negative at two chaotic points. In the study, the third quantum chaotic point of the system, TQG is investigated by the Schwarzian derivative of the effective mass of the sample. As is known, the object’s mass varies in a gravitational field. Hence, it is determined that the Schwarzian derivative of the effective mass, which has the negative value, shows the quantum chaotic transition in the system. At the vicinity of TQG where the first derivative of the net effective mass has a maximum value, the plasma frequency shifts from microwave to infrared. As a result, it is proposed that the Schwarzian derivative is a convenient mathematical method for precise prediction of chaotic points and transitions in superconducting systems.
dc.identifier.endpage21
dc.identifier.issn2651-5199
dc.identifier.issn2822-7085
dc.identifier.issue3
dc.identifier.startpage17
dc.identifier.urihttps://hdl.handle.net/11501/1930
dc.identifier.urihttps://dergipark.org.tr/tr/pub/ijens/issue/62962/1006061
dc.identifier.volume2
dc.institutionauthorid0000-0003-4520-9839
dc.language.isoen
dc.publisherIstanbul Gedik University
dc.relation.ispartofInternational Journal of Engineering and Natural Sciences
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_DergiPark_20250209
dc.subjectMercury Based Superconductor
dc.subjectNonlinear Behavior of the Superconducting System
dc.subjectSchwarzian Derivative
dc.subjectQuantum Chaotic Transition
dc.titleSchwarzian derivative of third chaotic transition in mercury based superconductors
dc.typeArticle

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