Some general properties of partial (calculated over the volume of individual components) moments of the electric field strength are considered in the standard linear problem of electrical conductivity of two-component media. The description of the critical behavior of moments of an arbitrary order in the vicinity of the metal-insulator phase transition point given here is free of any model assumptions. The corresponding critical indices are introduced and the relations between them following from the similarity hypothesis are established. The reciprocity relations obtained for 2D systems and connecting partial moments of the same order reduce by half the number of new independent critical indices.
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