WIAS Preprint No. 837, (2003)

Towards thermodynamic modeling of nucleation and growth of droplets in crystals


  • Dreyer, Wolfgang
  • Duderstadt, Frank

2010 Mathematics Subject Classification

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


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




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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