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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, Didrikhsona st. 4, Odessa, 65029, Ukraine
b Mechnikov Odessa National University, Dvoryanskaya st. 2, Odessa, 65026, Ukraine
c The Odessa State Academy of Refrigeration, Dvoryanskaya st. 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.

Fulltext pdf (380 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0182.201205f.0555
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/
000307559000006
2-s2.0-84864996679
2012PhyU...55..519H
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)
BibTexBibNote ® (generic)BibNote ® (RIS)Medline RefWorks
RT Journal
T1 Hybrid ramified Sierpinski carpet: percolation transition, critical exponents, and force field
A1 Herega,A.N.
A1 Drik,N.G.
A1 Ugol’nikov,A.P.
PB Physics-Uspekhi
PY 2012
FD 10 May, 2012
JF Physics-Uspekhi
JO Phys. Usp.
VO 55
IS 5
SP 519-521
DO 10.3367/UFNe.0182.201205f.0555
LK https://ufn.ru/en/articles/2012/5/f/

Received: 1st, August 2011, 2nd, August 2011

Оригинал: Герега А Н, Дрик Н Г, Угольников А П «Ковёр Серпинского с гибридной разветвлённостью: перколяционный переход, критические показатели, силовое поле» УФН 182 555–557 (2012); DOI: 10.3367/UFNr.0182.201205f.0555

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