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Title: Side-branch growth in two-dimensional dendrits. Part I: Experiments
Author: Couder, Yves
Maurer, J.
González Cinca, Ricard
Hernández Machado, Aurora
Keywords: Cristal·lografia
Estructura cristal·lina (Sòlids)
Ciència dels materials
Layer structure (Solids)
Materials science
Issue Date: 2005
Publisher: The American Physical Society
Abstract: The dynamics of growth of dendrites’ side branches is investigated experimentally during the crystallization of solutions of ammonium bromide in a quasi-two-dimensional cell. Two regimes are observed. At small values of the Peclet number a self-affine fractal forms. In this regime it is known that the mean lateral front grows as t 0.5 . Here the length of each individual branch is shown to grow (before being screened off) with a power-law behavior t α n . The value of the exponent α n ( 0.5 ⩽ α n ⩽ 1 ) is determined from the start by the strength of the initial disturbance. Coarsening then takes place, when the branches of small α n are screened off by their neighbors. The corresponding decay of the growth of a weak branch is exponential and defined by its geometrical position relative to its dominant neighbors. These results show that the branch structure results from a deterministic growth of initially random disturbances. At large values of the Peclet number, the faster of the side branches escape and become independent dendrites. The global structure then covers a finite fraction of the two-dimensional space. The crossover between the two regimes and the spacing of these independent branches are characterized.
Note: Reproducció del document publicat a:
It is part of: Physical Review E, 2005, vol. E71, p. 031602-1-031602-12
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ISSN: 1063-651X
Appears in Collections:Articles publicats en revistes (Física Quàntica i Astrofísica)

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