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

A.N. Herega^a, N.G. Drik^b, A.P. Ugol’nikov^c
^aOdessa State Academy of Building and Architecture, Didrikhsona st. 4, Odessa, 65029, Ukraine
^bMechnikov Odessa National University, Dvoryanskaya st. 2, Odessa, 65026, Ukraine
^cThe 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.

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, accepted: 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