Free Energy Determination of a Binary Alloy Around the Equilibrium Based on the Order Parameter
EL Azzouzi Fatima *
Department of Mathematics, Laboratory of Modeling and Scientific Calculation, Sidi Mohamed Ben Abdellah University, College of Science and Technology, BP 2202, Route d’Imouzzer, Fez, Morocco
EL Khomssi Mohammed
Department of Mathematics, Laboratory of Modeling and Scientific Calculation, Sidi Mohamed Ben Abdellah University, College of Science and Technology, BP 2202, Route d’Imouzzer, Fez, Morocco
*Author to whom correspondence should be addressed.
Abstract
In this paper, we have determined the free energy of a binary alloy for any order and it is showed that the number of equilibrium states of the system is obtained by the Taylor expansion to the 4-th order choice. We explicitly determine the stable states of alloy which are characterized by the free energy.
Keywords: Binary alloy, Equilibrium states, Free energy, Taylor expansion