منابع مشابه
Averaging of dilute random media: a rigorous proof of the Clausius-Mossotti formula
We consider a large number of randomly dispersed spherical, identical, inclusions in a bounded domain, with conductivity different than that of the host medium. In the dilute limit, with some mild assumption on the first few marginal probability densities (no periodicity or stationarity are assumed), we prove convergence in H norm of the expectation of the solution of the steady state heat equa...
متن کاملThe Clausius-Mossotti Formula and Its Nonlocal Generalization for a Dielectric Suspension of Spherical Inclusions
Employing a recently developed cluster expansion for the effective dielectric constant of a suspension of spherical inclusions, we show which parts of the cluster integrals give rise to the Clausius-Mossotti formula. The same selection of terms is then used to obtain an approximate expression for the wave-vectordependent effective dielectric tensor. For a system of hard spheres with only dipole...
متن کاملOn the Clausius Theorem
We show that for a metastable system there exists a theoretical possibility of a violation of the Clausius inequality without a violation of the second law. Possibilities of experimental detection of this hypothetical violation are pointed out. The question which will be considered here is the possibility of a violation of the Clausius inequality ∮ δQ
متن کاملA Revision of Clausius Work on the Second Law. 4. On the Refutal of Clausius Proof
Clausius arguments advanced to prove that in a reversible cyclical process the combined value of all the transformations therein occurring must be equal to nothing, are here refuted.
متن کاملA Revision of Clausius Work on the Second Law. 2. On the Values of Clausius Transformations
The values associated to Clausius transformations are obtained through an analysis different to that of Clausius inasmuch it does not introduce any assumption or condition as to what the combined value of the transformations in a reversible cyclical process should be. The values thus obtained allow for the identification of the flaw in Clausius work leading to the inconsistency discussed in par...
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ژورنال
عنوان ژورنال: Nature
سال: 1887
ISSN: 0028-0836,1476-4687
DOI: 10.1038/035346a0