VI. - THEORETICAL MODELS FOR ORDERING AND KINETICSTHE CLUSTER VARIATION METHOD

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Abstract
The Cluster Variation method is a hierarchy of closed form approximations of cooperative phenomena. It writes the free energy in terms of an appropriately chosen set of variables (which specify the state of the system) and minimizes the free energy to find the most probable, i.e., the stable, state of the system. The Bragg-Williams approximation and the quasi-chemical method use the same conceptual approach. The Cu-Au alloy is discussed as an example in detail, and theoretical phase diagrams of the system by different methods are compared. An explanation is given for the Natural Iteration method, which is an indispensable accompanying mathematical tool in solving the equations which result from minimizing the free energy in the CV method. The Path Probability method, which is a time-dependent version of the CV method, is discussed

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