First principles derivation of Ginzburg Landau free energy models for crystalline systems

作者: James F. Lutsko

DOI: 10.1016/J.PHYSA.2005.10.044

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摘要: Abstract The expression of the free energy density a classical crystalline system as gradient expansion in terms set order parameters is developed using functional theory. goal here to extend and complete an earlier derivation by Lowen et al. [Europhys. Lett. 9 (1989) 791]. limitations resulting expressions are also discussed including boundary conditions needed for finite systems fact that results cannot, at present, be used take into account elastic relaxation.

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