Chaotic fractal models generated by rectangular cells

• Autorzy: Novikov V. V. , Wojciechowski K. W. , Privalko V. P.
• Języki publikacji: EN

Abstrakty

EN

Properties of some chaotic fractal models constructed on hierarchies of rectangular cells (the latter being rectangular subsets of the square lattice) are investigated. Fractal dimensionalities and average neighbour numbers of structures generated by small rectangular cells Lx x Ly (2 less-than or equal to L x less-than or equal to 4, 1 less-than or equal to Ly less-than or equal to 4) are derived. Generating probability functions and critical indices for the correlation length as well as for the percolation cluster density are calculated for the models considered. The calculations show that structures generated by anisotropic (rectangular) initial cells show much broader range of critical indices and other characteristic parameters than structures generated by 'isotropic' (square) initial cells.

• Wydawca: Institute of Bioorganic Chemistry Scientific Publishers OWN, Polish Academy of Sciences
• Czasopismo: Computational Methods in Science and Technology
• Rocznik: 2004
• Tom: Vol. 10, nr 1
• Strony: 91--100
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Novikov V. V.

• Odessa National Polytechnical University, 1Shevchenko Avenue, 65044 Odessa, Ukraine

autor

Wojciechowski K. W.

• Institute of Molecular Physics, Polish Academy of Sciences

autor

Privalko V. P.

• Institute of Macromolecular Chemistry, National Academy of Sciences of Ukraine 263160 Kiev, Ukraine

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