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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.

Fulltext is available at IOP
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)
BibTexBibNote ® (generic)BibNote ® (RIS) MedlineRefWorks
PT Journal Article
TI Hybrid ramified Sierpinski carpet: percolation transition, critical exponents, and force field
AU Herega A N
FAU Herega AN
AU Drik N G
FAU Drik NG
AU Ugol’nikov A P
FAU Ugol’nikov AP
DP 10 May, 2012
TA Phys. Usp.
VI 55
IP 5
PG 519-521
RX 10.3367/UFNe.0182.201205f.0555
URL https://ufn.ru/en/articles/2012/5/f/
SO Phys. Usp. 2012 May 10;55(5):519-521

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

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

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