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Application of BBGKY Equations to the Study of Ordering in Alloys
Author(s) -
Stark Yu. S.,
Steinberg A. S.
Publication year - 1982
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221090144
Subject(s) - ising model , statistical physics , phase transition , bbgky hierarchy , thermodynamics , lattice (music) , chain (unit) , correlation , mathematics , physics , distribution function , quantum mechanics , geometry , acoustics
Abstract The chain of the BBGKY (Bogolyubov‐Born‐Green‐Kirkwood‐Yvon) equations for lattice systems is obtained. These equations differ greatly from those for the continuous case and can be used in the theory of the Ising model. Different characteristics of ordering in alloys are computed using these equations: phase transition temperature, correlation parameter, correlation functions at great distances. The results obtained are in good agreement with other theories.

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