Multifractal signatures of light-driven self-organization in acrylated epoxidized soybean oil polymers
Authors:   South Ukrainian National Pedagogical University named after K.D. Ushynsky, 65020 Odesa, Ukraine, Kiv A.E. ,   Ben-Gurion University of the Negev, 84105 Beer-Sheva, Israel, Soloviev V.N. ,   South Ukrainian National Pedagogical University named after K.D. Ushynsky, 65020 Odesa, Ukraine,   Kryvyi Rih State Pedagogical University, 50086 Kryvyi Rih, Ukraine, Bielinskyi A.O. ,   Kryvyi Rih State Pedagogical University, 50086 Kryvyi Rih, Ukraine,   State University of Economics and Technology, 50005 Kryvyi Rih, Ukraine,   Kyiv National Economic University named after Vadym Hetman, 03057 Kyiv, Ukraine, Slusarenko M.A. ,   Kryvyi Rih State Pedagogical University, 50086 Kryvyi Rih, Ukraine, Kavetskyy T.S. ,   Drohobych Ivan Franko State Pedagogical University, 82100 Drohobych, Ukraine,   Institute of Physics, Slovak Academy of Sciences, 84511 Bratislava, Slovakia, Šauša O. ,   Institute of Physics, Slovak Academy of Sciences, 84511 Bratislava, Slovakia,   Department of Nuclear Chemistry, FNS, Comenius University, 84215 Bratislava, Slovakia, Švajdlenková H. ,   Department of Nuclear Chemistry, FNS, Comenius University, 84215 Bratislava, Slovakia,   Polymer Institute, Slovak Academy of Sciences, 84541 Bratislava, Slovakia, Donchev I.I. ,   South Ukrainian National Pedagogical University named after K.D. Ushynsky, 65020 Odesa, Ukraine, Hoivanovych N.K. ,   Drohobych Ivan Franko State Pedagogical University, 82100 Drohobych, Ukraine, Pankiv L.I. ,   Drohobych Ivan Franko State Pedagogical University, 82100 Drohobych, Ukraine, Nykolaishyn O.V. ,   Drohobych Ivan Franko State Pedagogical University, 82100 Drohobych, Ukraine, Mushynska O.R. ,   Drohobych Ivan Franko State Pedagogical University, 82100 Drohobych, Ukraine, Zubrytska O.V. ,   Drohobych Ivan Franko State Pedagogical University, 82100 Drohobych, Ukraine, Tuzhykov A.V. ,   South Ukrainian National Pedagogical University named after K.D. Ushynsky, 65020 Odesa, Ukraine, Kushniyazova M. ,   Kazakh-British Technical University, 050000 Almaty, Kazakhstan,   South Ukrainian National Pedagogical University named after K.D. Ushynsky, 65020 Odesa, Ukraine
Published: September 2024

Multifractal properties of acrylated epoxidized soybean oil with and without a photoinitiator have been investigated. Using multifractal detrended fluctuation analysis, the photopolymerization process is analyzed by varying illumination duration and intensity. The research is conducted in two stages: the results concerning temperature fluctuations of the entire photoirradiation process are initially presented followed by a sliding window procedure to monitor system complexity during light cycling. Various multifractal mea-sures including the generalized Hurst exponent h(q), the multifractal Rényi exponent τ(q), the generalized fractal dimensions D(q) with the left and right side curvature (ΔDL, ΔDR), the multifractal singularity exponents α, the multifractal spectrum f (α), and the multifractal heat capacity C(q) with its integrated characteristic Carea are examined for both initial and shuffled series. The empirical results demonstrate that the moments of switching on and switching off photoirradiation are characterized by an instantaneous increase in the degree of multifractality of the system. It is hypothesized that the observed increase in multi-fractality at the light-switching-on/off stages is indicative of a quasi-phase transition, which may be associated with the transformation of orientational defects in the polymer network.