"BIRTH AND FUSION IN A SOL-GEL PROCESS WITH LOW DIFFUSION "
DOI:
https://doi.org/10.31489/2020No1/132-137Keywords:
chaos, fractal, thin films, sol-gel process.Abstract
Based on the developed methods of nonlinear dynamics of the mapping of Poincare sections, a numerical simulation of the formation of thin SnO2 films in sol-gel chemical reactions against the background of weak diffusion where carried out. Numerical calculations were carried out in the framework of dynamically determined chaos in intense opposing processes of merging and decay. For a chemically active medium in the sol-gel process, the differential diffusion equation with an internal source of nonlinearity is used. The simulation results qualitatively confirm the experimental fact of the emergence of Poisson-stable fractal cluster structures. The presence of fractal structures in the experimental results on thin films means the presence of nonlinear collective phenomena. The method of nonlinear self-organization of stable structures in a multi-particle system with competing internal processes is thought to be interesting for new technologies.
References
"1 Haken H. Application of the maximum information entropy principle of self organizing systems. Zeitschriftfür Physik B Condensed Matter. Springer, 1985, Vol.61, pp.335-338.
Dmitrieva E.A., Mukhamedshina D.M., Beisenkhanov N.B., Mit' K.A.The effect of NH4F and NH4OH on the structure and physical properties of thin SnO2 films synthesized by the sol-gel method. Glass Physics and Chemistry. 2014, No. 31, pp.31 -36.
Mukashev B.N. at al. Influence of structure changes of oxide films on their physical properties. Materials Science and Engineering B., 2005, No. 118, pp. 164-169.
Mukhamedshina D.M., Beisenkhanov N.B., Mit' K.A., Botvin V.A., Valitova I.V., Dmitrieva E.A. Influence of plasma treatments on the properties of SnOx thin films. High Temperature Material Processes, 2006, Vol.10, pp.603-616, DOI:10.1615/HighTempMatProc.v10.i4.110.
Witten T A. Jr., Sander L M. Diffusion-limited aggregation, a kinetic critical phenomenon. Phys. Rev. Lett., 1981, Vol.47, pp.1400.
Brinker C.J., Scherer G.W. Sol gel glass: I, gelation and gel structure. J.: Non-Cryst. Solids, 1985, Vol.70, pp.301.
Moshnikov V.A., Alexandrova O. A. New nanomaterial. Synthesis. Diagnostics. Modeling. SPb.: Publishing house Etu ""LETI"", 2015.
Pan Tan, Yihao Liang, Qin Xu, Eugene Mamontov, Jinglai Li, Xiangjun Xing, Liang Hong. Gradual crossover from subdiffusion to normal diffusion: a many-body effect in protein surface water. Phys. Rev. Lett., 2018, Vol.120, No.248101.
Thai M. Hoang, Rui Pan, Jonghoon Ahn, Jaehoon Bang, H. T. Quan, Tongcang Li. Experimental test of the differential fluctuation theorem and a generalized Jarzynski equality for arbitrary initial states. Phys. Rev. Lett., 2018, Vol.120(8), DOI:10.1103/PhysRevLett.120.080602.
Zhang W. et al. Unexpected stable stoichiometries of sodium chlorides. Science, Vol.342, Is.6165, pp. 1502-1505, DOI: 10.1126/science.1244989.
Martinson L.K., Malov Yu.I., Differential equations of mathematical physics. M.: MSTU, 2002.
Dmitriyeva E.A., Mukhamedshina D.M., Mit’ K.A., Lebedev I.А., Girina I.I., Fedosimova A.I., Grushevskya E.A. Doping of fluorine of tin dioxide films synthesized by sol-gel method. News of the National Academy of Sciences of the Republic of Kazakhstan (series of geology and technical sciences). 2019, V.433, pp.73–79, DOI: 10.32014/2019.2518-170X.9.
Korolenko P.V. et al. Innovative methods of analysis of stochastic processes and structures in optics. Fractal and multifractal methods. M.: Moscow state University, SINP, 2004.
Fedosimova A.I., Dmitrieva E.A., Lebedev I.A., Temiraliev A.T., Temiraliev A.T., Abishev M.E., Baitimbetova B.A., Ryabikin Yu.A., Serikkanov A.S. Modeling the process of formation of fractal structures in thin films. IOP Conf. Series: Journal of Physics: Conf. Series, 2018, Vol.1141, No.012004, DOI:10.1088/1742-6596/1141/1/012004.
Nicolis G., Prigozhin I. Self-organization in non-equilibrium systems. M.: Mir, 1979.
Fredrick M. Mwema, Esther T. Akinlabi, Oluseyi P. Oladijo. Fractal Analysis of Thin Films Surfaces: A Brief Overview. Advances in Material Sciences and Engineering, 2019, pp. 251-263.
Grushevskaya E.A., Ibraimova S.A., Dmitriyeva E.A., Lebedev I.A., Mit’ K.A., Mukhamedshina D.M., Fedosimova A.I., Serikkanov A.S., Temiraliev A.T. Sensitivity to ethanol vapour of thin films SnO2 doped with fluorine. Eurasian Chemico-Technological Journal, 2019, Vol.21, pp.13–17, DOI: 10.18321/ectj781.
Ryaguzov A.P., Kudabayeva M.A., Nemkayeva R.R., Guseinov N.R., Myrzabekova M.M. Study of the structure of amorphous carbon films modified with silicon oxide. Eurasian Physical Technical Journal, 2019, Vol.16, No.1(31), pp. 6 – 11.
"
