Issues

 / 

2012

 / 

May

  

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
Log in or sign up to access the full texts.
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/
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

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

© 1918–2022 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions