 Simultaneous statistical description of a crystal and fluidV.A. Golovko Physica A: Statistical Mechanics and its Applications, 2007, vol. 374, issue 1, 15-32 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. Keywords: Statistical thermodynamics of solids; Statistical thermodynamics of liquids; Liquid–solid phase transitions (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:374:y:2007:i:1:p:15-32 DOI: 10.1016/j.physa.2006.05.053 Access Statistics for this article Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis More articles in Physica A: Statistical Mechanics and its Applications from Elsevier |
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