Deterministic Behaviour in Sidebranching Development

  • Ricard González-Cinca
  • Yves Couder
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 32)


The development of sidebranching in solidifying dendrites in a regime of finite diffusion length is studied both experimentally and by means of a phase-field model. The growth rate of each sidebranch shows a power-law behaviour from the early stages of its life. From their birth, branches which finally succeed in the competition process of sidebranching development have a greater growth exponent than branches which are stopped.


Dendritic Growth Ammonium Bromide External Noise Kinetie Coefficient Growth Exponent 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Ricard González-Cinca
    • 1
  • Yves Couder
    • 2
  1. 1.Departament de Física AplicadaUniversitat Politècnica de CatalunyaBarcelonaSpain
  2. 2.Laboratoire de Physique StatistiqueEcole Normale SupérieureParis CEDEX 05France

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