Fractal Ordering Nanostructured Planar Media

Article Preview

Abstract:

In this paper a method of characterization of network structures with multiscale hierachical periodicity in the spectral representation is suggested. The informodynamic analyses of the degree of similarity of complicated systems with different level of organization was established as the result of convolution of diffraction patterns. The indicator of the fractal dimension as the characteristic of degree of ordering of mesodefect systems of planar media was introduced. It is established that the rejection of the fractal dimension is observed under the increasing stochasticity of network system.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 718-720)

Pages:

85-90

Citation:

Online since:

July 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] V.S. Ivanova, A.S. Balankin, I.J, Bunin, A.A. Oksogoev, Synergetics and fractals in material science, Nauka, Moscow, 1994.

Google Scholar

[2] M. Schroeder, Fractals, chaos, power laws, Freeman, New York, 1991.

Google Scholar

[3] A.I. Olemskoi, A.Ya. Flat, Application of fractals in condensed-matter physics, Phys. Usp. 36 (12) (1993) 1087–1128.

DOI: 10.1070/pu1993v036n12abeh002208

Google Scholar

[4] V.V. Zosimov, L.M. Lyamshev, Fractals in wave processes, Phys. Usp. 38 (1995) 347–384.

DOI: 10.1070/pu1995v038n04abeh000080

Google Scholar

[5] T.S. Akhromeeva, S.P. Kurdyumov, G.G. Malinetskii, and A.A. Samarskii, Nonstationary Structures and Diffusion Chaos, Nauka, Moscow, 1992.

Google Scholar

[6] B.N. Grudin, V.S. Plotnikov, Processing and simulating of microscopic images, Dal'nauka, Vladivostok, 2010.

Google Scholar

[7] N.I. Chukhrii, V.V. Yudin, A.M. Frolov, L.A. Yudina, Correlation between quick-quenched ribbon surface and atomic disordering in spinning processes, Journal of Surface Investigation: X-Ray, Synchrotron and Neutron Techniques. 15(4) (2000) 653-665.

Google Scholar

[8] H. G. E. Hentschel, I. Procaccia Relative diffusion in turbulent media: The fractal dimension of clouds, Phys. Rev. A 29 (1984) 1461-1466.

DOI: 10.1103/physreva.29.1461

Google Scholar

[9] Potapov A.A., Fractals and Remote Sensing, Zarubezh, Radioelektron. Usp. Sovremennoi Radioelektron. 6 (2000) 3–65.

Google Scholar

[10] M.I. Rabinovich, M.M. Sushchik, The regular and chaotic dynamics of structures in fluid flows, Phys. Usp. 33 (1) (1990) 1-35.

DOI: 10.1070/pu1990v033n01abeh002403

Google Scholar

[11] V. V. Yudin, S. A. Shchegoleva, and T. A. Pisarenko, Kinetics of Thermal Relaxation of Mesodefect Networks in Amorphous Co–Ni–P Films in a Stochastic-Flow Model, Physics of the Solid State. 43(11) (2001) 2074–2082.

DOI: 10.1134/1.1417183

Google Scholar

[12] J.C. Phillips, Glass Physics, Phys. Today. 2 (1982) 27-54.

Google Scholar