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Vineyard's Theory of the Kinetics of Ordering and Lidiard's Consistency Conditions
Author(s) -
Sohoijet M.
Publication year - 1969
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.19690350149
Subject(s) - consistency (knowledge bases) , vineyard , saddle , mathematics , limiting , saddle point , jump , order (exchange) , statistical physics , pure mathematics , thermodynamics , physics , discrete mathematics , mathematical optimization , geometry , geography , economics , engineering , quantum mechanics , mechanical engineering , archaeology , finance
Abstract Lidiard's consistency conditions are extended to the case of alloys of face centered cubic structure. By separating the jump rates into a part originating in the saddle point atoms and a part originating in the other neighbors it is shown that a Vineyard type of theory does not verify Lidiard's consistency conditions except in the limiting cases of complete order and complete disorder.