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Self-consistent theory of the long-range order in solid solutions

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  • Olemskoi, Alexander

Abstract

On the basis of the assumption that atoms play a role of effective Fermions at lattice distribution, the study of the long-range ordering is shown to be reduced to self-consistent consideration of single and collective excitations being relevant to the space distribution of atoms and Fourier transform of such distribution, respectively. A diagram method advanced allows to elaborate complete thermodynamic picture of the long-range ordering of the arbitrary compositional solid solution. The long-range order parameter is found for different chemical potentials of the components to obtain a scope of ordering solid solutions according to relation between degree of the chemical affinity of the components and mixing energy. The boundary composition of the ordering phase ABn is determined as a function of the chemical potentials of the components and concentrations of impurities and defects. Temperature-compositional dependencies of the order parameter and the sublattice difference of the chemical potentials are determined explicitly. Polarization effects and passing out of the compositional domain 0.318

Suggested Citation

  • Olemskoi, Alexander, 2005. "Self-consistent theory of the long-range order in solid solutions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 346(3), pages 303-326.
    • Handle: RePEc:eee:phsmap:v:346:y:2005:i:3:p:303-326
    DOI: 10.1016/j.physa.2004.06.161
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