克劳修斯-莫索蒂公式

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Asymptotic Analysis Pub Date : 2023-03-31 DOI:10.3233/asy-231840

Mitia Duerinckx, A. Gloria

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引用次数: 0

摘要

在本注释中，我们提供了克劳修斯-莫索蒂公式在稀释状态下有效电导率的一个简短而稳健的证明，以及一个最佳误差估计。该证明除了平稳性和遍历性之外，没有对潜在的点过程进行假设，并且可以应用于许多其他情况下的稀释系统。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Clausius–Mossotti formula

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.

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来源期刊

Asymptotic Analysis 数学-应用数学

CiteScore

1.90

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.