论文标题
Clausius-Mossotti公式
The Clausius-Mossotti formula
论文作者
论文摘要
在本说明中,我们为稀释型制度的有效电导率的Clausius-Mossotti公式提供了简短而强大的证明,并提供了最佳的误差估计。该证明除了平稳性和牙齿性外,对基础过程没有任何假设,并且可以在许多其他情况下应用于稀释系统。
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.