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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
TY JOUR
TI Hybrid ramified Sierpinski carpet: percolation transition, critical exponents, and force field
AU Herega, A. N.
AU Drik, N. G.
AU Ugol’nikov, A. P.
PB Physics-Uspekhi
PY 2012
JO Physics-Uspekhi
JF Physics-Uspekhi
JA Phys. Usp.
VL 55
IS 5
SP 519-521
UR https://ufn.ru/en/articles/2012/5/f/
ER https://doi.org/10.3367/UFNe.0182.201205f.0555

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

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

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