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Simultaneous statistical description of a crystal and fluid

Author

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  • Golovko, V.A.

Abstract

In previous publications by the author the crystalline state was studied with the help of statistical methods based upon utilization of distribution functions. The approximation used for a crystal was not, however, fully adequate for fluids, which did not permit one, in particular, to construct a phase diagram with a triple and critical point. The present paper begins with analysis of the pair correlation function in crystals in order to find an approximation adequate for a crystal as well as fluid. The relevant thermodynamics is developed. It is shown that the fluid can be described, for example, by the hypernetted-chain equation or by the van der Waals or Dieterici equations of state, and such a description will be compatible with the proposed description of the crystal. A phase diagram is constructed which exhibits the region of the crystalline state together with the triple and critical points.

Suggested Citation

  • Golovko, V.A., 2007. "Simultaneous statistical description of a crystal and fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(1), pages 15-32.
    • Handle: RePEc:eee:phsmap:v:374:y:2007:i:1:p:15-32
    DOI: 10.1016/j.physa.2006.05.053
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