Abstract
We have applied the Krieger-James approximation to a description of short range order effects in both ferro- and antiferromagnetism. In this method, a mechanical consistency condition is imposed on the probability distribution of a pair of near neighbours in a cluster of (Z+1) ions. The resulting theory is analytically equivalent to the familiar constant coupling approximation, thus ensuring thermodynamic equilibrium of the system.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bethe H A 1935Proc. R. Soc. London A 150 552
Chang T S 1937Proc. Cambridge Philos. Soc. 33 524
Elliott R J and Marshall W 1958Rev. Mod. Phys. 30 75
Kasteleijn P W and Van Kranendonk J 1956aPhysica 22 317
Kasteleijn P W and Van Kranendonk J 1956bPhysica 22 367
Kasteleijn P W and Van Kranendonk J 1956cPhysica 22 387
Krieger T G and James H M 1954J. Chem. Phys. 22 796
Oguchi T 1955Progr. Theor. Phys. 13 148
Smart J S 1966Effective Field Theories of Magnetism (Philadelphia and London: W B Saunders)
Strieb B, Callen H B and Horwitz G 1963Phys. Rev. 130 1798
Weiss P R 1948Phys. Rev. 74 1493
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Savithramma, K.L., Madhusudana, N.V. Equivalence of the Krieger-James approximation and the constant-coupling approximation in magnetism. Pramana - J Phys 10, 349–356 (1978). https://doi.org/10.1007/BF02894689
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02894689