Skip to main content Accessibility help
×
Home

On the Choice of a Maximal Cluster in the Cluster Variational Method

  • David A. Vul (a1) and Didier de Fontaine (a1) (a2)

Abstract

An explanation of the occurrence of unphysical solutions in the cluster variational method is given. A simple algorithm for the construction of an optimal maximal cluster, i.e., a cluster that guarantees correct results for any set of interatomic interactions, is suggested. Examples of optimal maximal clusters for various two- and three-dimensional lattices are presented.

Copyright

References

Hide All
1. Kikuchi, R., Phys. Rev. 81, 988(1951).
2. Sanchez, J.M. and de Fontaine, D., Phys. Rev. B, 17, 2926 (1978).
3. Sanchez, J.M., Ducastelle, F., Gratias, D., Physica (Utrecht) 128A, 334 (1984).
4. Finel, A., , Alloy Phase Stability, edited by Stocks, G.M. and Gonis, A. NATO-ASI Series E, Vol.163 (Kluwer, Dordrecht, 1989), p. 269.
5. Kubo, R., J. Phys. Soc. Japan 17, 1100 (1962).

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed