Title: Functional representation for the grand partition function of a multicomponent system of charged particles: Correlation functions of the reference system
Author(s):

	O.V.Patsahan (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine) ,
	I.M.Mryglod (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine)

Based on the method of collective variables (CV) with a reference system, the exact expression for the functional of the grand partition function of a $m$-component ionic model with charge and size asymmetry is found. Particular attention is paid to the $n$th particle correlation functions of the reference system which is presented as a $m$-component system of ``colour'' hard spheres of the same diameter. A two-component model is considered in more detail. In this case the recurrence formulas for the correlation functions are found. A general case of a $m$-component inhomogeneous system of the ``colour'' hard spheres is also analysed.

Key words: functional methods, reference system, collective variables method, asymmetric ionic model, ``colour'' hard sphere system
PACS: 05.70.Fh, 05.70.Jk, 02.70.Rr, 64.70.Fx