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

M.A.J. Michels

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

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

M.A.J. Michels

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

3 Citaten (Scopus)

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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.

Originele taal-2	Engels
Pagina's (van-tot)	377-381
Tijdschrift	Physica A: Statistical and Theoretical Physics
Volume	157
Nummer van het tijdschrift	1
DOI's	https://doi.org/10.1016/0378-4371(89)90330-0
Status	Gepubliceerd - 1989
Extern gepubliceerd	Ja

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DO - 10.1016/0378-4371(89)90330-0

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

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