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


How to Cite

Azzouzi Fatima, E., & Khomssi Mohammed, E. (2016). Free Energy Determination of a Binary Alloy Around the Equilibrium Based on the Order Parameter. Physical Science International Journal, 12(3), 1–8. https://doi.org/10.9734/PSIJ/2016/29954

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