Experimental evidence on the development of scale invariance in the internal structure of self-affine aggregates

Details Experimental evidence on the development of scale invariance in the internal structure of self-affine aggregates Experimental evidence on the development of scale invariance in the internal structure of self-affine aggregates

2006-02-08

arxiv.org/abs/cond-mat/0602206v1

Phys. Rev. B, V.70, p.033406 (2004)

Physics

Condensed Matter

Other Condensed Matter

11 pages, 4 figures

Scientific paper

10.1103/PhysRevB.70.033406

It is shown that an alternative approach for the characterization of growing branched patterns consists of the statistical analysis of frozen structures, which cannot be modified by further growth, that arise due to competitive processes among neighbor growing structures. Scaling relationships applied to these structures provide a method to evaluate relevant exponents and to characterize growing systems into universality classes. The analysis is applied to quasi-two-dimensional electrochemically formed silver branched patterns showing that the size distribution of frozen structures exhibits scale invariance. The measured exponents, within the error bars, remind us those predicted by the Kardar-Parisi-Zhang equation.

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