Today in the age of advanced ceramic civilization, there are a variety of applications for modern ceramics materials with specific properties. Our up-to date research recognizes that ceramics have a fractal configuration nature on the basis of different phenomena. The key property of fractals is their scale-independence. The practical value is that the fractal objects’ interaction and energy is possible at any reasonable scale of magnitude, including the nanoscale and may be even below. This is a consequence of fractal scale independence. This brings us to the conclusion that properties of fractals are valid on any scale (macro, micro, or nano). We also analyzed these questions with experimental results obtained from a comet, here 67P, and also from ceramic grain and pore morphologies on the microstructure level. Fractality, as a scale-independent morphology, provides significant variety of opportunities, for example for energy storage. From the viewpoint of scaling, the relation between large and small in fractal analysis is very important. An ideal fractal can be magnified endlessly but natural morphologies cannot, what is the new light in materials sciences and space.

Keywords:

References

1. V. Mitic, G. Lazovic, V. Paunovic, J. R. Hwu, S.-C. Tsay, T.-P. Perng, S. Veljkovic and B. Vlahovic, J. Eur. Ceram 39(12) (2019) 3513. Web of Science, Google Scholar
2. V. V. Mitic, V. Paunovic, Lj. M. Kocic, S. Jankovic and V. Litovski, BaTiO₃-ceramics microstructures new fractal frontiers, in 13th Ceramics Congress, CIMTEC 2014, CJ-1. L14, Montecatini, Italy, June 9–13, 2014. Google Scholar
3. V. V. Mitic, Lj. M. Kocic, B. Jordovic and M. M. Ristic, The fractal method applied in interrelation between structure and electrical properties, in 98th Annual Meeting of the American Ceramic Society, Advanced Ceramic Materials, Electronics Division, Indianapolis, USA, 1996. Google Scholar
4. L. F. Richardson, General System Yearbook 6 (1961) 139. Google Scholar
5. V. V. Mitic, G. Lazovic, L. M. Kocic, D. Rancic, I. Antolovic and J. R. Hwu, The Voronoi Model and Fractals (National Tsing Hua University Press, 2020), in press. Google Scholar
6. V. V. Mitic, G. Lazovic, V. Paunovic, N. Cvetkovic, D. Jovanovic, S. Veljkovic, B. Randjelovic and B. Vlahovic, Ceramics Int. 45(7) (2019) 9679. Web of Science, Google Scholar
7. B. Mandelbrot, The Fractal Geometry of Nature (W. H. Freeman, New York, 1977). Google Scholar
8. G. Cantor, Math. Ann. 21(5) (1883) 545. Google Scholar
9. M. F. Barnsley, Constr. Approx. 2(1) (1986) 303. Web of Science, Google Scholar
10. H. Böhnhardt, J.-P. Bibring, I. Apathy, H.-U. Auster, A. E. Finzi, F. Goesmann, G. Klingelhöfer, M. Knapmeyer, W. Kofman, H. Krüger, S. Mottola, W. Schmidt, K. Seidensticker, T. Spohn and I. Wright, Phil. Trans. R. Soc. A 375 (2017) 20160248; http://dx.doi.org/10.1098/rsta.2016.0248. Web of Science, ADS, Google Scholar
11. P. Heinisch, H.-U. Auster, B. Gundlach, J. Blum, C. Güttler, C. Tubiana, H. Sierks, M. Hilchenbach, J. Biele, I. Richter and K. H. Glassmeier, A&A 630(A2) (2019) 8; https://doi.org/10.1051/0004-6361/201833889 Google Scholar
12. W. Arnold, H.-H. Fischer, M. Knapmeyer and H. Krüger, Jpn. J. Appl. Phys 58 (2019) SG0801. Web of Science, Google Scholar
13. V. V. Mitić, Lj. M. Kocić and I. Z. Mitrović, Fractals in ceramic structure, in Proc. IX World Round Table Conf. on Sintering, 1–4 September 1998, Belgrade; Advanced Science and Technology of Sintering, ed. Stojanović et al. (Kluwer Academic/Plenum Publishers, New York, 1999). Google Scholar