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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)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

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

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