Cell Method in Grand Canonical Ensemble

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Abstract
A variational form of the cell theory of multicomponent liquids is formulated on the basis of the grand canonical ensemble. The method can in principle be extended to any desired level of accuracy. More explicit results are obtained for the case in which each cell can contain at most one particle and the correlation between cells is neglected. In addition, a higher order theory is presented in which correlations in the modes of occupancy of cells is treated to the second order. The relation between the radial distribution function and the results of the simpler cell theory is considered.

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