Regular versus irregular Laplacian growth: Multifractal spectroscopy

C. Amitrano, L. De Arcangelis, A. Coniglio, J. Kertesz

Research output: Contribution to journalArticlepeer-review

Abstract (may include machine translation)

The authors analyse the effect of tip stability on the multifractality of interfacial patterns by applying the method of noise reduction to a random Laplacian growth on the square lattice. While the distribution of perimeter sites over the harmonic measure is smooth in the case of random fractal objects with tip splitting, separate peaks appear if the tips are stable. These peaks can be identified with the subset of growth sites corresponding to the tips. They demonstrate the consequences of such behaviour in the multifractal spectrum.

Original languageEnglish
Article number004
Pages (from-to)L15-L21
JournalJournal of Physics A: General Physics
Volume21
Issue number1
DOIs
StatePublished - 1988
Externally publishedYes

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