Entropy and fractal nature

Thermal Science

Vlahović Branislav¹  Huang Wen-Chieh²  Lazović Goran M.³  Mitić Vojislav V.⁴  Stojiljković Mladen M.⁵  Manojlović Jelena Ž.⁵  Facht Hans⁶ 

[1] North Carolina Central University, Durhan, N. C., USA;University Department of Chemistry and Frontier Research Center on Fundamental and Applied Sciences of Matters, National Tsing Hua University, Taiwan;University of Belgrade, Faculty of Mechanical Engineering, Belgrade, Serbia;University of Nis, Faculty of Electronic Engineering, Nis, Serbia + Institute of Technical Sciences of SASA, Belgrade, Serbia;University of Nis, Faculty of Mechanical Engineering, Nis, Serbia;Universityof Ulm, Institute of Functional Nanosystems, Ulm, Germany;

关键词: ceramics materials;    thermodynamics;    entropy;    fractals;    order-disorder;   

DOI  :  10.2298/TSCI191007451M

来源: DOAJ

【 摘 要 】

Existing, the biunivocal correspondents between the fractal nature and the nature discovered by fractals is the source and meeting point from those two aspects which are similar to the thermodynamically philosophical point of view. Sometimes we can begin from the end. We are substantial part of such fractals space nature. The mathematics fractal structures world have been inspired from nature and Euclidian geometry imagined shapes, and now it is coming back to nature serving it. All our analysis are based on several experimental results. The substance of the question regarding entropy and fractals could be analyzed on different ceramics and materials in general. We have reported the results based on consolidation BaTiO3- ceramics by the standard sintering technology, performed with BaTiO3 and different additives (MnCO3, CeO2, Bi2O3, Fe2O3, CaZrO3, Nb2O5, Er2O3, Yt2O3, Ho2O3). Thermodynamic principles are very important. Beside the energy and temperature, the entropy as a measure between the order and disorder (chaos) is very important parameter. In this paper, we establish the relation between the entropy and fractal that opens new frontiers with the goal to understand and establish the order-disorder relation.

【 授权许可】

Unknown