A Statistical Treatment of the Free Energy of Binary Non-Homogeneous Solutions

✍ Scribed by R. Cadoret

• Publisher: John Wiley and Sons
• Year: 1971
• Tongue: English
• Weight: 369 KB
• Volume: 46
• Category: Article
• ISSN: 0370-1972
• DOI: 10.1002/pssb.2220460127

✦ Synopsis

Abstract

A statistical treatment of non‐homogeneous binary solutions is obtained by considering subsystems with a random distribution. The free energy is derived from the partition function corresponding to a given distribution of A and B atoms between the subsystems. Calculations are more precisely performed on the base of nearest neighbour interactions. For cubic lattices, the relation deduced from the general equation obtained is similar to the equation previously given by Cook, de Fontaine, and Hilliard. Cahn and Hilliard's equation appears as an approximation restricted to small composition fluctuations.