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.
Original language | English |
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Pages (from-to) | 377-381 |
Journal | Physica A: Statistical and Theoretical Physics |
Volume | 157 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1989 |
Externally published | Yes |