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

Kazuki Kishinawa; Haruo Honjo; Hidetsugu Sakaguchi

doi:10.1103/PhysRevE.77.030602

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

Kazuki Kishinawa, Haruo Honjo, Hidetsugu Sakaguchi

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

7 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 language	English
Article number	030602
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	77
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.77.030602
Publication status	Published - Mar 28 2008

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.77.030602

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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.",

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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.

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

Abstract

All Science Journal Classification (ASJC) codes

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