Fluctuations in the phase-field model of solidification

Stanislav G. Pavlik and Robert F. Sekerka

Physica A: Statistical Mechanics and its Applications, 2000, vol. 277, issue 3, 415-431

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.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:277:y:2000:i:3:p:415-431

DOI: 10.1016/S0378-4371(99)00382-9

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