Phys. Rev. E 77, 030602(R) (2008) [4 pages]

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

Abstract

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Kazuki Kishinawa, Haruo Honjo, and Hidetsugu Sakaguchi
Department of Applied Science for Electronics and Materials, Interdisciplinary Graduate School of Engineering Sciences, Kyushu University, 6-1 Kasuga Koen, Kasuga, Fukuoka 816-8580, Japan

Received 21 December 2007; revised 28 February 2008; published 28 March 2008

We experimentally investigated statistical properties of side branches of quasi-two-dimensional NH₄Cl 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.

URL:

http://link.aps.org/doi/10.1103/PhysRevE.77.030602

DOI:

10.1103/PhysRevE.77.030602

PACS:

68.70.+w, 61.43.Hv, 81.10.Dn, 05.45.Df

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Phys. Rev. E 77, 030602(R) (2008) [4 pages]

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