Application of the linear principle for the strongly-correlated variables: Calculations of differences between spectra

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dc.contributor.authorNigmatullin, R. R.
dc.contributor.authorPopov, I. I.
dc.contributor.authorBaleanu, D.
dc.contributor.authorDinc, E.
dc.contributor.authorSolak, A. O.
dc.contributor.authorEksi, H.
dc.contributor.authorGuzel, R.
dc.date.accessioned2024-04-24T16:11:06Z
dc.date.available2024-04-24T16:11:06Z
dc.date.issued2011
dc.departmentDicle Üniversitesien_US
dc.description.abstractIn this paper the authors suggest a new method of detection of possible differences between similar near infrared (NIR) spectra based on the self-similar (fractal) property. This property is a general characteristic that belongs to a wide class of the strongly-correlated systems. As an example we take a set of NIR spectra measured for three systems: (1) glassy carbon (GC) electrodes, (2) GC electrodes affected by azobenzene (AB) substance and finally (3) films (AB-FILM). Besides the physical model that should describe the intrinsic properties of these substances we found the fitting function that follow from the linear principle for the strongly-correlated variables. This function expressed in the form of linear combination of 4 power-law functions describes with the high accuracy the integrated curves that were obtained from the averaged values of the initially measured spectra. The nine fitting parameters can be considered as the quantitative finger prints for detection of the differences between similar spectra. Besides this result we established the self-similar behavior of the remnant functions. In other words, the difference between the initially integrated function and its fitting function can be expressed in the form of linear combinations of periodical functions having a set of frequencies following to relationship omega(k) = omega(0)xi(k), where the initial frequency omega(0) and scaling factor xi are determined by the eigen-coordinates method. This behavior in the NIR spectra was discovered in the first time and physical reasons of such behavior merit an additional research. (C) 2011 Published by Elsevier B.V.en_US
dc.description.sponsorshipRussian Ministry of Education and Science [1.84.11]; TUBITAK (Scientific and Technological Research Council of Turkey) [106T622]en_US
dc.description.sponsorshipTwo of us (RRN and IIP) want to express their acknowledgements to the grant of the Russian Ministry of Education and Science (number of grant 1.84.11) for its financial support. This work was also supported by TUBITAK (Scientific and Technological Research Council of Turkey) project with a number of 106T622.en_US
dc.identifier.doi10.1016/j.cnsns.2011.02.005
dc.identifier.endpage4036en_US
dc.identifier.issn1007-5704
dc.identifier.issn1878-7274
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-79956043618
dc.identifier.scopusqualityQ1
dc.identifier.startpage4028en_US
dc.identifier.urihttps://doi.org/10.1016/j.cnsns.2011.02.005
dc.identifier.urihttps://hdl.handle.net/11468/15264
dc.identifier.volume16en_US
dc.identifier.wosWOS:000292429100020
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherElsevier Science Bven_US
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAzobenzene Modified Electrodeen_US
dc.subjectNano-Filmen_US
dc.subjectLinear Principle Of The Strongly-Correlated Variablesen_US
dc.subjectEigen-Coordinates Methoden_US
dc.titleApplication of the linear principle for the strongly-correlated variables: Calculations of differences between spectraen_US
dc.titleApplication of the linear principle for the strongly-correlated variables: Calculations of differences between spectra
dc.typeArticleen_US

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