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Fluctuations in the phase-field model of solidification

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  • Pavlik, Stanislav G.
  • Sekerka, Robert F.

Abstract

We develop two analytical solutions for thermodynamic fluctuations that are present in the phase-field model of solidification. One solution deals with fluctuations in an isothermal single phase system. The other deals with fluctuations in a two-phase isothermal system having a planar diffuse interface. Explicit formulae are obtained in one, two and three dimensions. In the case of two-phase system, fluctuations of the phase field are somewhat suppressed in the interface region. These solutions provide targets for testing numerical solutions.

Suggested Citation

  • Pavlik, Stanislav G. & Sekerka, Robert F., 2000. "Fluctuations in the phase-field model of solidification," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 277(3), pages 415-431.
    • Handle: RePEc:eee:phsmap:v:277:y:2000:i:3:p:415-431
    DOI: 10.1016/S0378-4371(99)00382-9
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