Hybrid ramified Sierpinski carpet: percolation transition, critical exponents, and force field
A.P. Ugol’nikovc 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.