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Methodological notes


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

 a,  b,  c
a Odessa State Academy of Building and Architecture, Didrikhsonast. 4, Odessa, 65029, Ukraine
b Mechnikov Odessa National University, Dvoryanskayast. 2, Odessa, 65026, Ukraine
c The Odessa State Academy of Refrigeration, Dvoryanskayast. 1/3, Odessa, 65082, Ukraine

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.

Text can be downloaded in Russian. English translation is available on IOP Science.
PACS: 64.60.ae, 64.60.ah, 64.60.al, 64.60.−i (all)
DOI: 10.3367/UFNe.0182.201205f.0555
URL: https://ufn.ru/en/articles/2012/5/f/
Citation: Herega A N, Drik N G, Ugol’nikov A P "Hybrid ramified Sierpinski carpet: percolation transition, critical exponents, and force field" Phys. Usp. 55 519–521 (2012)
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Received: 1st, August 2011, 2nd, August 2011

:   ,   ,    «   : , , » 182 555–557 (2012); DOI: 10.3367/UFNr.0182.201205f.0555

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