Generalized Lorentz model description-Caputo-Fabrizio fractional derivative approach, of electrical, dielectric, conductive and magnetic processes in materials
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In this study, generalized Lorentz model is basic one-particle model in the framework of dielectric, conductive and/or magnetic responses of materials.
AC conductivity studies of various BaTiO3 or similar ceramics produced equivalent circuits with impedance spectra, usually within the framework of RCPE elements serial connection (CPE - constant phase element) or Cole element. This element, in the generalized Lorentz model, corresponds to Caputo fractional derivative, who, as operator, contains a singular integral kernel in itself. However, in the literature, fractional derivatives with a non singular integral kernels have recently emerged. One of them is a Caputo-Fabrizio fractional derivative. In this work, physical basics and all three behaviors (dielectric, conductive and magnetic) of materials and their relationships are considered in the case of electric or magnetic alternate fields, which are the tools for experimental measurements.
Keywords:
Lorentz model / BaTiO3 ceramics / magnetic properties / dielectric behaviour / conductive behaviourSource:
Program and the Book of abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VIII : New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, 23-25. September 2019, 2019, 62-63Publisher:
- Belgrade : Serbian Ceramic Society
Institution/Community
Институт техничких наука САНУ / Institute of Technical Sciences of SASATY - CONF AU - Eldakli, Mohsan S. A. AU - Vosika, Zoran B. AU - Mitić, Vojislav V. AU - Lazović, Goran AU - Paunović, Vesna PY - 2019 UR - https://dais.sanu.ac.rs/123456789/6973 AB - In this study, generalized Lorentz model is basic one-particle model in the framework of dielectric, conductive and/or magnetic responses of materials. AC conductivity studies of various BaTiO3 or similar ceramics produced equivalent circuits with impedance spectra, usually within the framework of RCPE elements serial connection (CPE - constant phase element) or Cole element. This element, in the generalized Lorentz model, corresponds to Caputo fractional derivative, who, as operator, contains a singular integral kernel in itself. However, in the literature, fractional derivatives with a non singular integral kernels have recently emerged. One of them is a Caputo-Fabrizio fractional derivative. In this work, physical basics and all three behaviors (dielectric, conductive and magnetic) of materials and their relationships are considered in the case of electric or magnetic alternate fields, which are the tools for experimental measurements. PB - Belgrade : Serbian Ceramic Society C3 - Program and the Book of abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VIII : New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, 23-25. September 2019 T1 - Generalized Lorentz model description-Caputo-Fabrizio fractional derivative approach, of electrical, dielectric, conductive and magnetic processes in materials SP - 62 EP - 63 UR - https://hdl.handle.net/21.15107/rcub_dais_6973 ER -
@conference{ author = "Eldakli, Mohsan S. A. and Vosika, Zoran B. and Mitić, Vojislav V. and Lazović, Goran and Paunović, Vesna", year = "2019", abstract = "In this study, generalized Lorentz model is basic one-particle model in the framework of dielectric, conductive and/or magnetic responses of materials. AC conductivity studies of various BaTiO3 or similar ceramics produced equivalent circuits with impedance spectra, usually within the framework of RCPE elements serial connection (CPE - constant phase element) or Cole element. This element, in the generalized Lorentz model, corresponds to Caputo fractional derivative, who, as operator, contains a singular integral kernel in itself. However, in the literature, fractional derivatives with a non singular integral kernels have recently emerged. One of them is a Caputo-Fabrizio fractional derivative. In this work, physical basics and all three behaviors (dielectric, conductive and magnetic) of materials and their relationships are considered in the case of electric or magnetic alternate fields, which are the tools for experimental measurements.", publisher = "Belgrade : Serbian Ceramic Society", journal = "Program and the Book of abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VIII : New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, 23-25. September 2019", title = "Generalized Lorentz model description-Caputo-Fabrizio fractional derivative approach, of electrical, dielectric, conductive and magnetic processes in materials", pages = "62-63", url = "https://hdl.handle.net/21.15107/rcub_dais_6973" }
Eldakli, M. S. A., Vosika, Z. B., Mitić, V. V., Lazović, G.,& Paunović, V.. (2019). Generalized Lorentz model description-Caputo-Fabrizio fractional derivative approach, of electrical, dielectric, conductive and magnetic processes in materials. in Program and the Book of abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VIII : New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, 23-25. September 2019 Belgrade : Serbian Ceramic Society., 62-63. https://hdl.handle.net/21.15107/rcub_dais_6973
Eldakli MSA, Vosika ZB, Mitić VV, Lazović G, Paunović V. Generalized Lorentz model description-Caputo-Fabrizio fractional derivative approach, of electrical, dielectric, conductive and magnetic processes in materials. in Program and the Book of abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VIII : New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, 23-25. September 2019. 2019;:62-63. https://hdl.handle.net/21.15107/rcub_dais_6973 .
Eldakli, Mohsan S. A., Vosika, Zoran B., Mitić, Vojislav V., Lazović, Goran, Paunović, Vesna, "Generalized Lorentz model description-Caputo-Fabrizio fractional derivative approach, of electrical, dielectric, conductive and magnetic processes in materials" in Program and the Book of abstracts / Serbian Ceramic Society Conference Advanced Ceramics and Application VIII : New Frontiers in Multifunctional Material Science and Processing, Serbia, Belgrade, 23-25. September 2019 (2019):62-63, https://hdl.handle.net/21.15107/rcub_dais_6973 .