Entropy spectrum for distribution of history probabilities in growth models

Shinichi Sato, Yoshinori Hayakawa

    Research output: Contribution to journalArticlepeer-review

    1 Citation (Scopus)


    Based on the multifractal formalism, we introduce a multifractal spectrum associated with entropy of clusters in growth models by calculating probability distributions of histories from an initial seed to a resultant cluster. The entropy spectrum is shown in a ballistic growth model producing fanlike clusters and Eden growth as examples. Numerical calculations of the models give results that suggest the existence of phase transitions in the spectrum.

    Original languageEnglish
    Pages (from-to)7793-7796
    Number of pages4
    JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
    Issue number6
    Publication statusPublished - 1997

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Condensed Matter Physics


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