Entropy spectrum for distribution of history probabilities in growth models

Shinichi Sato; Yoshinori Hayakawa

doi:10.1103/PhysRevE.55.7793

Entropy spectrum for distribution of history probabilities in growth models

Shinichi Sato, Yoshinori Hayakawa

Research output: Contribution to journal › Article › peer-review

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Abstract

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 language	English
Pages (from-to)	7793-7796
Number of pages	4
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	55
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.55.7793
Publication status	Published - 1997

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.55.7793

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title = "Entropy spectrum for distribution of history probabilities in growth models",

abstract = "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.",

author = "Shinichi Sato and Yoshinori Hayakawa",

year = "1997",

doi = "10.1103/PhysRevE.55.7793",

language = "English",

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journal = "Physical Review E",

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AU - Sato, Shinichi

AU - Hayakawa, Yoshinori

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AB - 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.

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DO - 10.1103/PhysRevE.55.7793

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Entropy spectrum for distribution of history probabilities in growth models

Abstract

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