WIAS Preprint No. 837, (2003)

Towards thermodynamic modeling of nucleation and growth of droplets in crystals



Authors

  • Dreyer, Wolfgang
  • Duderstadt, Frank

2010 Mathematics Subject Classification

  • 35R35 74B20 74F20 74F25 76R50 80A22

Keywords

  • phase transition, Gallium Arsenide, mechanical stresses in mixures, low of mass action

DOI

10.20347/WIAS.PREPRINT.837

Abstract

Stress assisted diffusion in single crystal Gallium Arsenide (GaAs) leads to the formation and growth of unwanted liquid arsenic droplets in a solid matrix. This process happens during the heat treatment of single crystal GaAs, which is needed for its application in opto-electronic devices, and it is of crucial importance to pose and answer the question if the appearance of droplets can be avoided. To this end we start a thermodynamic simulation of this process. Special emphasis is given to the influence of mechanical effects on chemistry, diffusion and interface motion in GaAs.

Appeared in

  • Free Boundary Problems. Theory and Applications. Internat. Ser. Numer. Math. 147, Birkhäuser, Basel u.s. 2004, pp. 113--130

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