Scale-invariant competitive growth of side branches in a dendritic crystal

Kazuki Kishinawa, Haruo Honjo, Hidetsugu Sakaguchi

    Research output: Contribution to journalArticle

    6 Citations (Scopus)

    Abstract

    We experimentally investigated statistical properties of side branches of quasi-two-dimensional N H4 Cl dendritic crystals. The height distributions of the side branches and their number density exhibit scale-invariant power laws. The results are in good agreement with the results of numerical simulations and theories of diffusion-limited needle growth. Our scaling exponents are independent of supersaturation and the statistical properties are universal in dendrites.

    Original languageEnglish
    Article number030602
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume77
    Issue number3
    DOIs
    Publication statusPublished - Mar 28 2008

    Fingerprint

    dendritic crystals
    Scale Invariant
    Statistical property
    Branch
    Crystal
    Dendrite
    Scaling Exponent
    dendrites
    supersaturation
    needles
    Power Law
    exponents
    scaling
    Numerical Simulation
    simulation

    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy(all)
    • Condensed Matter Physics
    • Statistical and Nonlinear Physics
    • Mathematical Physics

    Cite this

    Scale-invariant competitive growth of side branches in a dendritic crystal. / Kishinawa, Kazuki; Honjo, Haruo; Sakaguchi, Hidetsugu.

    In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 77, No. 3, 030602, 28.03.2008.

    Research output: Contribution to journalArticle

    @article{c45ffb30dc294c18b1316b964aa5b69c,
    title = "Scale-invariant competitive growth of side branches in a dendritic crystal",
    abstract = "We experimentally investigated statistical properties of side branches of quasi-two-dimensional N H4 Cl dendritic crystals. The height distributions of the side branches and their number density exhibit scale-invariant power laws. The results are in good agreement with the results of numerical simulations and theories of diffusion-limited needle growth. Our scaling exponents are independent of supersaturation and the statistical properties are universal in dendrites.",
    author = "Kazuki Kishinawa and Haruo Honjo and Hidetsugu Sakaguchi",
    year = "2008",
    month = "3",
    day = "28",
    doi = "10.1103/PhysRevE.77.030602",
    language = "English",
    volume = "77",
    journal = "Physical Review E",
    issn = "2470-0045",
    publisher = "American Physical Society",
    number = "3",

    }

    TY - JOUR

    T1 - Scale-invariant competitive growth of side branches in a dendritic crystal

    AU - Kishinawa, Kazuki

    AU - Honjo, Haruo

    AU - Sakaguchi, Hidetsugu

    PY - 2008/3/28

    Y1 - 2008/3/28

    N2 - We experimentally investigated statistical properties of side branches of quasi-two-dimensional N H4 Cl dendritic crystals. The height distributions of the side branches and their number density exhibit scale-invariant power laws. The results are in good agreement with the results of numerical simulations and theories of diffusion-limited needle growth. Our scaling exponents are independent of supersaturation and the statistical properties are universal in dendrites.

    AB - We experimentally investigated statistical properties of side branches of quasi-two-dimensional N H4 Cl dendritic crystals. The height distributions of the side branches and their number density exhibit scale-invariant power laws. The results are in good agreement with the results of numerical simulations and theories of diffusion-limited needle growth. Our scaling exponents are independent of supersaturation and the statistical properties are universal in dendrites.

    UR - http://www.scopus.com/inward/record.url?scp=41549145734&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=41549145734&partnerID=8YFLogxK

    U2 - 10.1103/PhysRevE.77.030602

    DO - 10.1103/PhysRevE.77.030602

    M3 - Article

    VL - 77

    JO - Physical Review E

    JF - Physical Review E

    SN - 2470-0045

    IS - 3

    M1 - 030602

    ER -