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Related Experiment Videos

Side-branch growth in two-dimensional dendrites. I. Experiments.

Y Couder1, J Maurer, R González-Cinca

  • 1Laboratoire de Physique Statistique, Ecole Normale Supérieuere, Paris, France.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 21, 2005
PubMed
Summary
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Dendrite side branch growth in ammonium bromide solutions reveals two distinct crystallization regimes. Branch structure arises from deterministic growth of random disturbances, with coarsening or independent dendrite formation depending on conditions.

Area of Science:

  • Physical Chemistry
  • Materials Science
  • Complex Systems

Background:

  • Dendritic growth is a common phenomenon in crystallization processes.
  • Understanding side branch dynamics is crucial for controlling material morphology.
  • Previous studies established mean lateral front growth rates but lacked detailed branch dynamics.

Purpose of the Study:

  • To experimentally investigate the growth dynamics of dendrite side branches.
  • To characterize the two distinct growth regimes observed.
  • To elucidate the relationship between initial disturbances and final branch structure.

Main Methods:

  • Crystallization experiments using ammonium bromide solutions in a quasi-two-dimensional cell.
  • Observation and analysis of dendrite side branch growth under varying Peclet numbers.

Related Experiment Videos

  • Quantitative measurement of branch length, growth exponents, and spatial distribution.

    • Main Results:

    • Two regimes identified: self-affine fractal formation at low Peclet numbers and independent dendrite formation at high Peclet numbers.
    • Individual branch growth follows a power-law t(alpha(n)), with the exponent dependent on initial disturbance strength.
    • Branch coarsening occurs via screening, with weak branches decaying exponentially based on neighbor interactions.
    • At high Peclet numbers, faster branches become independent dendrites, covering a finite space.

    Conclusions:

    • Dendrite side branch morphology is a deterministic outcome of initial random disturbances.
    • The observed growth regimes and coarsening dynamics are governed by the Peclet number and initial conditions.
    • The study provides insights into pattern formation and structure evolution in crystallization.