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Uspekhi Fizicheskikh Nauk, 2012, Volume 182, Number 5, Pages 555–557
DOI: https://doi.org/10.3367/UFNr.0182.201205f.0555 (Mi ufn4115) 		 
This article is cited in 9 scientific papers (total in 9 papers)

METHODOLOGICAL NOTES

Hybrid ramified Sierpinski carpet: percolation transition, critical exponents, and force field

A. N. Heregaa, N. G. Drikb, A. P. Ugol’nikovc

a Odessa State Academy of Construction and Architecture
b Mechnikov Odessa National University
c Odessa State Academy of Refrigeration
Full-text PDF (512 kB) Citations (9)
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DOI: https://doi.org/10.3367/UFNr.0182.201205f.0555
Abstract: This methodological note introduces the concept of and calculates percolation transition characteristics for a Sierpinski carpet with hybrid (finite–infinite) ramification. Recurrence formulas for calculating the force fields of Sierpinski prefractals of an arbitrary generation are obtained. The possibility of using the obtained results in the model of oscillatory interacting different-scale inner boundaries of a heterogeneous material is discussed.
Received: August 1, 2011
Accepted: August 2, 2011
English version:
Physics–Uspekhi, 2012, Volume 55, Issue 5, Pages 519–521
DOI: https://doi.org/10.3367/UFNe.0182.201205f.0555
Bibliographic databases:
Document Type: Article
PACS: 64.60.ae, 64.60.ah, 64.60.al, 64.60.-i
Language: Russian
Citation: A. N. Herega, N. G. Drik, A. P. Ugol’nikov, “Hybrid ramified Sierpinski carpet: percolation transition, critical exponents, and force field”, UFN, 182:5 (2012), 555–557; Phys. Usp., 55:5 (2012), 519–521
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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