In this article we first introduce the weighted density approximation (WDA) to study the classical inhomogeneous system such as inhomogeneous fluids. Then we introduce the modified weighted density approximation (MWDA) to calculate the structure and thermodynamical properties of the FCC hard sphere crystal. The MWDA is a self consistent method where the free energy is expressed as an unperturbed expression. Usually the required input is the Percus-Yevick (PY) direct correlation function of hard sphere. In addition to this, we use the hard sphere DCF introduced by Roth et al. [ J. Phys. Condense Matter, 14, 12063 (2002). ], here we call it RELK, we also introduce a new expression for the DCF which is a combination of the PY and RELK. This new expression gives the best result for the DCF of hard sphere, as it compared with the Monte Carlo simulation. In our calculation we use all these DCFs to calculate the free energy and freezing parameters of FCC hard sphere crystals. Although we obtained the better results using the PY-RELK DCF but it seems we should improve the MWDA to get better result.
Mahmood Moradi, and Alireza Razeghizadeh, (2019). Study of solid-liquid phase transition using the modified weighted density approximation of inhomogeneous hard sphere systems. Iranian Journal of Physics Research, 7(3), 129-135.
MLA
Mahmood Moradi, , and Alireza Razeghizadeh, . "Study of solid-liquid phase transition using the modified weighted density approximation of inhomogeneous hard sphere systems", Iranian Journal of Physics Research, 7, 3, 2019, 129-135.
HARVARD
Mahmood Moradi , Alireza Razeghizadeh (2019). 'Study of solid-liquid phase transition using the modified weighted density approximation of inhomogeneous hard sphere systems', Iranian Journal of Physics Research, 7(3), pp. 129-135.
CHICAGO
Mahmood Moradi and Alireza Razeghizadeh, "Study of solid-liquid phase transition using the modified weighted density approximation of inhomogeneous hard sphere systems," Iranian Journal of Physics Research, 7 3 (2019): 129-135,
VANCOUVER
Mahmood Moradi , Alireza Razeghizadeh Study of solid-liquid phase transition using the modified weighted density approximation of inhomogeneous hard sphere systems. Dear user; Recently we have changed our software to Sinaweb. If you had already registered with the old site, you may use the same USERNAME but you need to change your password. To do so at the first use, please choose, 2019; 7(3): 129-135.
