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366]). 36 Capacity and Transport in Contrast Composite Structures Asymptotic of capacity of a system of bodies The bodies can be placed in the space in various ways. The most evident classiﬁcation of a system of bodies is based on the distance between the bodies. This classiﬁcation includes two extremal cases: 1) the distances between all bodies are large as compared with the characteristics dimension of the bodies, 2) the distances between the neighbor bodies are small as compared with the characteristics dimension of the bodies.

Nevertheless, direct indication on the relationship of the transport properties of regular arrays of closely placed spheres and asymptotic of capacity of two closely placed spheres was made in [166], only. Chapter 2 NUMERICAL ANALYSIS OF LOCAL FIELDS IN A SYSTEM OF CLOSELY PLACED BODIES In this chapter, we present results of numerical analysis of electric ﬁelds in and around closely placed bodies. Although numerical analysis provides us with the information about a special system of bodies / particles, the results of numerical analysis may be used as heuristic arguments for developing a general approach to the problem.

M in matrix Q. 38) should be futher stated. If it is considered in the sence of distributions (see Appendix A), the conjugation conditions are assumed. 3) where δ is the absolute distance between the disks and R is the radius of the disks, see Fig. 1. 4) δ∗ 1. , we consider planar problem and E is a unit ﬁeld parallel to Ox2 -axis). 1) in R2 if it would solve the following problem, which determines potential φ(x) on the periodicity cell Y = [−1, 1]2 displayed in Fig. 6) φ(x1 , ±1) = ±1, ∂φ (±1, x2 ) = 0.