The Clausius–Mossotti formula
Mitia Duerinckx, Mitia Duerinckx, Antoine Gloria · Asymptotic Analysis · 2023
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 it can be applied to dilute systems in many other contexts.