The Clausius-Mossotti formula
Analysis of PDEs
2022-11-11 v1 Probability
Abstract
In this note, we provide a short and robust proof of the Clausius-Mossotti formula for the effective conductivity in the dilute regime, together with an optimal error estimate. The proof makes no assumption on the underlying point process besides stationarity and ergodicity, and can be applied to dilute systems in many other contexts.
Cite
@article{arxiv.2211.05379,
title = {The Clausius-Mossotti formula},
author = {Mitia Duerinckx and Antoine Gloria},
journal= {arXiv preprint arXiv:2211.05379},
year = {2022}
}
Comments
15 pages