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

Abstract

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.

11 pages, 4 figures

References in corpus (2)

• Dynamics of Rough Interfaces in Chemical Vapor Deposition: Experiments and a Model for Silica Films
• A numerical study of the development of bulk scale-free structures upon growth of self-affine aggregates

Cited by in corpus (5)

• Random deposition of particles of different sizes
• Bulk viscosity in a neutron star mantle
• Ballistic deposition on deterministic fractals: On the observation of discrete scale invariance
• Ballistic deposition patterns beneath a growing KPZ interface
• Thin film growth by random deposition of linear polymers on a square lattice