Abstract

The question of how thermal noise should be incorporated in the continuum equations of solidification in a way which is consistent with both bulk and interfacial equilibrium fluctuations is investigated. The proper Langevin formalism which accomplishes this task is found to consist of the usual bulk forces, which remain unaffected by the presence of a two-phase boundary, and an extra stochastic force on the interface associated with its kinetics. The relevance of this force in the context of pattern formation is examined.

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