Directional Solidification: Theoretical Methods and Current Understanding

  • Herbert Levine
Part of the NATO ASI Series book series (NSSE, volume 183)


The patterns formed via the directional solidification of binary mixtures are paradigmatic of the type of structures which can arise in non-equilibrium dissipative systems. This paper will review the current status of our attempts to understand these patterns. We will focus in turn on phenomena in shallow cell systems, the highly non-equilibrium deep cell regime and the transition to dendritic growth.


Directional Solidification Amplitude Equation Crystal Anisotropy Oscillatory Instability Deep Cell 
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Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • Herbert Levine
    • 1
  1. 1.Department of Physics and Institute for Nonlinear ScienceUniversity of California, San DiegoLa JollaUSA

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