The convergence of integral expressions for the effective properties of heterogeneous media

M.A.J. Michels

Physica A: Statistical Mechanics and its Applications, 1989, vol. 157, issue 1, 377-381

Abstract: We present a very brief and general proof that the series expansion for the effective constant of a heterogeneous medium can be expressed in irreducible cluster integrals only. The argument does not use details of the cluster expansion. On the other hand, for any given expansion it provides a simple prescription to obtain irreducibility. For dielectric polarisation and other phenomena in which the interaction propagator falls off as R−3, this irreducibility guarantees absolute convergence of the integrals.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:157:y:1989:i:1:p:377-381

DOI: 10.1016/0378-4371(89)90330-0

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