### Free energy analysis of binary alloys at phase transition

#### Abstract

Order-disorder transformation in alloys is a fascinating and extensively studiedÂ problem for many years. This transformation has been studied widely using the two state Ising model. But vacancies are not considered in two state Ising model, which may play anÂ important rule in determining the composition of stable configuration. So we used three stateÂ Ising model which takes vacancies also at lattice sites. To make a realistic study we have

included kinetic energy of the particles in the total Hamiltonian.

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