caa a22 4500 469035609 CHVBK 20180323132755.0 cr unu---uuuuu 170328e19920101xx s 000 0 eng 10.1007/BF01018821 doi (NATIONALLICENCE)springer-10.1007/BF01018821 Statistical theory of the crystal state [Elektronische Daten] [Yu. Agrafonov, G. Martynov] A theory of the crystalline state of matter is constructed in the framework of the method of distribution functions. The system of two exact equations for the single- and two-particle distribution functions is solved by a series expansion in powers of the small parameter ɛ=(n-n o)/n 0, wheren is the density of the crystal andn 0 is the density of the liquid at its crystallization point. In the zeroth order in ɛ, the theory leads to the Ornstein-Zernike equation, which determines all the properties of the molten state; in the first order, it leads to equations that determine the symmetry type of the crystal and the main lattice periods. Finally, in the second order in ɛ the theory makes it possible to calculate the jump in the density on crystallization of the molten state. The proposed method of solution is valid only at temperatures above the triple point, i.e., in the region in which the crystal can be in equilibrium with the molten matter. Plenum Publishing Corporation, 1992 Agrafonov Yu aut Martynov G. aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 90/1(1992-01-01), 75-84 0040-5779 90:1<75 1992 90 11232 https://doi.org/10.1007/BF01018821 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01018821 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Agrafonov Yu aut NATIONALLICENCE 700 1- Martynov G. aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 90/1(1992-01-01), 75-84 0040-5779 90:1<75 1992 90 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer