A Toy Model for the Diffusion-Limited Aggregation

• Autorzy: Wolff M.

Identyfikatory

DOI

10.12921/cmst.2021.0000031

• Języki publikacji: EN

Abstrakty

EN

We consider the deterministic Vicsek fractal with the aim to understand the multifractal properties of the Diffusion-Limited Aggregation.

Słowa kluczowe

EN

Diffusion-Limited Aggregation; multifractality

• Wydawca: Institute of Bioorganic Chemistry Scientific Publishers OWN, Polish Academy of Sciences
• Czasopismo: Computational Methods in Science and Technology
• Rocznik: 2021
• Tom: Vol. 27, No. 4
• Strony: 151--157
• Opis fizyczny: Bibliogr. 18 poz., rys.

Twórcy

autor

Wolff M.

• Cardinal Stefan Wyszynski University Faculty of Mathematics and Natural Sciences ul. Wóycickiego 1/3, PL-01-938 Warsaw, Poland

Bibliografia

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• [9] M. Wolf, Size dependence of the minimum-growth probabilities of typical diffusion-limited-aggregation clusters, Physical Review E 47, 1448–1451 (1993).
• [10] T. Vicsek, Fractal models for diffusion controlled aggregation, J Phys. A: Math. and Gen. 16(17), L647 (1983).
• [11] R.G. Hohlfeld, N. Cohen, Self-similarity and the geometric requirements for frequency independence in antennae, Fractals 7, 79–84 (1999).
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• [14] F. Spitzer, Principles of Random Walk, Graduate Texts in Mathematics, Springer, 2nd ed. (2001).
• [15] A.P. Roberts, M.A. Knackstedt, Comment on “Hitting probabilities of diffusion-limited-aggregation clusters”, Physical Review E 48, 4143–4144 (1993).
• [16] L. Niemeyer, L. Pietronero, H.J. Wiesmann, Fractal dimension of dielectric breakdown, Physical Review Letters 52, 1033–1036 (1984).
• [17] J. Stoer, R. Bulirsch, Introduction to Numerical Analysis, Texts in Applied Mathematics, Springer New York, 2nd ed. (1993).
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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).