Semiconductor Physics, Quantum Electronics & Optoelectronics, 27 (3), P. 366-377 (2024).
DOI: https://doi.org/10.15407/spqeo27.03.366
Multifractal signatures of light-driven self-organization in acrylated epoxidized soybean oil polymers
1South Ukrainian National Pedagogical University named after K.D. Ushynsky, 65020 Odesa, Ukraine Abstract.
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.
Keywords: acrylated epoxidized soybean oil, photopolymerization, self-organization, multifractality, multifractal detrended fluctuation analysis, phase transition.
A.E. Kiv1,2,
V.N. Soloviev1,3*,
A.O. Bielinskyi3,4,5,
M.A. Slusarenko3,
T.S. Kavetskyy6,7*,
O. Šauša7,8,
H. Švajdlenková8,9,
I.I. Donchev1,
N.K. Hoivanovych6,
L.I. Pankiv6,
O.V. Nykolaishyn6,
O.R. Mushynska6,
O.V. Zubrytska6,
A.V. Tuzhykov1,
M. Kushniyazova10
1
2Ben-Gurion University of the Negev, 84105 Beer-Sheva, Israel
3Kryvyi Rih State Pedagogical University, 50086 Kryvyi Rih, Ukraine
4State University of Economics and Technology, 50005 Kryvyi Rih, Ukraine
5Kyiv National Economic University named after Vadym Hetman, 03057 Kyiv, Ukraine
6Drohobych Ivan Franko State Pedagogical University, 82100 Drohobych, Ukraine
7Institute of Physics, Slovak Academy of Sciences, 84511 Bratislava, Slovakia
8Department of Nuclear Chemistry, FNS, Comenius University, 84215 Bratislava, Slovakia
9Polymer Institute, Slovak Academy of Sciences, 84541 Bratislava, Slovakia
10Kazakh-British Technical University, 050000 Almaty, Kazakhstan
Corresponding author(s) e-mail(s): vnsoloviev2016@gmail.com; kavetskyy@yahoo.com
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.