Premium
A Statistical Treatment of the Free Energy of Binary Non‐Homogeneous Solutions
Author(s) -
Cadoret R.
Publication year - 1971
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.2220460127
Subject(s) - binary number , homogeneous , partition function (quantum field theory) , statistical physics , mathematics , base (topology) , distribution (mathematics) , energy (signal processing) , partition (number theory) , function (biology) , distribution function , thermodynamics , physics , mathematical analysis , combinatorics , statistics , quantum mechanics , arithmetic , evolutionary biology , biology
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.