ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


For citation:

Kulikova N. V., Khmelevskaya V. S., Bondarenko V. V. Self-­similarity at different scale levels in irradiated solid materials. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 3, pp. 70-84. DOI: 10.18500/0869-6632-2010-18-3-70-84

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Russian
Article type: 
Article
UDC: 
517.538.72

Self-­similarity at different scale levels in irradiated solid materials

Autors: 
Kulikova Nelli Vasilevna, NATIONAL RESEARCH NUCLEAR UNIVERSITY "MEPHI" (NRNU MEPHI) OBNINSK INSTITUTE OF ATOMIC ENERGY (IATE)
Khmelevskaya Vita Sergeevna, NATIONAL RESEARCH NUCLEAR UNIVERSITY "MEPHI" (NRNU MEPHI) OBNINSK INSTITUTE OF ATOMIC ENERGY (IATE)
Bondarenko Vladimir Vladimirovich, NATIONAL RESEARCH NUCLEAR UNIVERSITY "MEPHI" (NRNU MEPHI) OBNINSK INSTITUTE OF ATOMIC ENERGY (IATE)
Abstract: 

Self-organized structures after ion-beam irradiation in solid materials have been studied using the method of fractal dimension. General computer method of the scale invariance evaluation for exposed dispersive structures is described. It was demonstrated that structures after irradiation can be characterized by the compatibility of scale invariance properties at different scale levels.

Reference: 
  1. Prigozhin I. From the existing to the emerging. Moscow: Nauka; 1985. 327 p. (in Russian).
  2. Khmelevskaya V.S. Non-equilibrium states in a solid. Obninsk; 2004. 155 p. (in Russian).
  3. Khmelevskaya VS, Malynkin VG. The long-range effect as a manifestation of collective interaction in the irradiation of a metal alloy. Materials science. 1998;2:25-33 (in Russian).
  4. Khmelevskay VS, Malynkin VG. Anomalous states in metallic alloys induced by irradiation. Phase Transitions. 1997;60:59–65.
  5. Khmelevskaya VS, Malynkin VG, Bazaleev EV. Technical Physics Letters. 1994;20(23):21–25 (in Russian).
  6. Khmelevskaya VS, Malynkin VG, Kanunnikov MY. Transformations in the electronic subsystem of metal solid solutions near a radiation-induced phase transition. Tech. Phys. Lett. 1998;24:907–909. DOI: 10.1134/1.1262311.
  7. Kronover RM. Fractals and chaos in dynamic systems. Moscow: Postmarket; 2000. 352 p. (in Russian).
  8. Mandelbrot BB. The Fractal Geometry of Nature. New York: WN. Freeman and Co.; 1982. 480 p.
  9. Morozov AD. Introduction to the theory of fractals. Nizhny Novgorod: Nizhny Novgorod University Press; 1999. 140 p. (in Russian).
  10. Ivanova VS, Balankin AS, Bunin IZh, Oxogoev AA. Synergetics and fractals in materials science. Moscow: Nauk; 1994. 384 p. (in Russian).
  11. Kolmakov AG, Vstovsky GV, Maslyaev SA, Pimenov VN. Study of copper alloys structures after laser impact by means of multifractal analysis. Advanced materials. 1999;4:5–13 (in Russian).
  12. Feder E. Fractals. Moscow: Mir; 1991. 260 p. (in Russian).
  13. Vstovsky GV, Kolmakov AG, Bunin IJ. Introduction to multifractal parametrization of material structures. Moscow-Izhevsk: SIC «Regular and chaotic dynamics»; 2001. 116 p. (in Russian).
  14. Kulikova NV, Khmelevskaya VS, Bondarenko VV. Computer analysis of self-organization processes in solids. Matem. Mod. 2006;18(1):88–98 (in Russian).
Received: 
26.08.2009
Accepted: 
30.11.2009
Published: 
30.06.2010
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