Schwarzian Derivative of Third Chaotic Transition in Mercury Based Superconductors

Özden Aslan Çataltepe

Schwarzian Derivative of Third Chaotic Transition in Mercury Based Superconductors

Öz

The 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.

Anahtar Kelimeler

Kaynakça

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Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yazarlar

Özden Aslan Çataltepe Bu kişi benim
Türkiye

Yayımlanma Tarihi

31 Aralık 2019

Gönderilme Tarihi

6 Ekim 2019

Kabul Tarihi

27 Kasım 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 2 Sayı: 3

IZ

https://izlik.org/JA37YM56GC

Kaynak Göster

RIS / Bibtex

APA

Aslan Çataltepe, Ö. (2019). Schwarzian Derivative of Third Chaotic Transition in Mercury Based Superconductors. International Journal of Engineering and Natural Sciences, 2(3), 17-21. https://izlik.org/JA37YM56GC

AMA

1.Aslan Çataltepe Ö. Schwarzian Derivative of Third Chaotic Transition in Mercury Based Superconductors. IJENS. 2019;2(3):17-21. https://izlik.org/JA37YM56GC

Chicago

Aslan Çataltepe, Özden. 2019. “Schwarzian Derivative of Third Chaotic Transition in Mercury Based Superconductors”. International Journal of Engineering and Natural Sciences 2 (3): 17-21. https://izlik.org/JA37YM56GC.

EndNote

Aslan Çataltepe Ö (01 Aralık 2019) Schwarzian Derivative of Third Chaotic Transition in Mercury Based Superconductors. International Journal of Engineering and Natural Sciences 2 3 17–21.

IEEE

[1]Ö. Aslan Çataltepe, “Schwarzian Derivative of Third Chaotic Transition in Mercury Based Superconductors”, IJENS, c. 2, sy 3, ss. 17–21, Ara. 2019, [çevrimiçi]. Erişim adresi: https://izlik.org/JA37YM56GC

ISNAD

Aslan Çataltepe, Özden. “Schwarzian Derivative of Third Chaotic Transition in Mercury Based Superconductors”. International Journal of Engineering and Natural Sciences 2/3 (01 Aralık 2019): 17-21. https://izlik.org/JA37YM56GC.

JAMA

1.Aslan Çataltepe Ö. Schwarzian Derivative of Third Chaotic Transition in Mercury Based Superconductors. IJENS. 2019;2:17–21.

MLA

Aslan Çataltepe, Özden. “Schwarzian Derivative of Third Chaotic Transition in Mercury Based Superconductors”. International Journal of Engineering and Natural Sciences, c. 2, sy 3, Aralık 2019, ss. 17-21, https://izlik.org/JA37YM56GC.

Vancouver

1.Özden Aslan Çataltepe. Schwarzian Derivative of Third Chaotic Transition in Mercury Based Superconductors. IJENS [Internet]. 01 Aralık 2019;2(3):17-21. Erişim adresi: https://izlik.org/JA37YM56GC