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

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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

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
517.538.72
DOI: 
10.18500/0869-6632-2010-18-3-70-84

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.

Key words: 
fractal
self-organization
self-similarity
fractal dimension
dissipative structures
Reference: 
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Received: 
26.08.2009
Accepted: 
30.11.2009
Published: 
30.06.2010
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