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Screening effects during late stage phase separation

Author

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  • Carlow, G.R.
  • Krylov, S.Yu.
  • Zinke-Allmang, M.

Abstract

Late stage phase separation is an important non-equilibrium thermodynamics process with a range of implications for applied systems such as thin film growth. A number of studies describe quantitatively Ostwald ripening, the dominant process under mass conservation. In these models the concept of a screening length occurs in different context, for three-dimensional systems to accommodate finite volume fractions of the minority phase, and for two-dimensional systems to circumvent the diverging steady state solution to the diffusion equation. We present a comprehensive review of this concept and show that the screening length in two- and three-dimensional systems has the same form if the average cluster radius and the average cluster cluster distance are used as parameters. In the experimental section, examples for two- and three-dimensional systems are given, showing that the screening length shields the interaction between clustering systems across a concentration step. This leads to sharper than expected interfaces between neighbouring ripening systems on a surface, and explains the resistance of sub-surface silicide clusters to dissolve into a uniform, buried film during annealing.

Suggested Citation

  • Carlow, G.R. & Krylov, S.Yu. & Zinke-Allmang, M., 1998. "Screening effects during late stage phase separation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(1), pages 115-134.
  • Handle: RePEc:eee:phsmap:v:261:y:1998:i:1:p:115-134
    DOI: 10.1016/S0378-4371(98)00366-5
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