缩放退磁模型：与磁性复合材料测量相比的磁化率、共振频率和弛豫频率预测
Scaled demagnetization models: susceptibility, resonant and relaxation frequency prediction compared to magnetic composite measurements
AI总结：
本文比较多种有效介质模型对聚合物-磁性颗粒复合材料磁化率、共振频率和弛豫频率的预测能力，提出并验证了 ScEMT 及其对 Schlomann 模型的缩放修正，证明其在大磁化率条件下优于 CMA 和 MGT。
摘要：
本文应用 Maxwell-Garnett 理论（MGT）、Bruggeman 有效介质理论（BEMT）、相干模型近似（CMA）、缩放有效介质理论（ScEMT）以及 Schlomann 模型（E. Schlomann, Phys. Rev. B, 182, 7, 632 (1969年6月10日) 和 E. Schlomann, Conf. on Mag. and Mag. Materials, AIEE Spec. Publ. T-91, 600 (1956)）来预测聚合物-磁性颗粒复合材料中的磁化率、共振频率和弛豫频率。颗粒的长宽比接近 1；体相低频磁化率范围约为 5 到 4000，颗粒体积分数在 1% 到 100% 之间。先前发表的研究表明，与经典模型相比，ScEMT 改进了直流磁化率的预测。本文首先对体积分数低于约 10% 的情况修改了 BEMT 和 ScEMT。提出了基于 ScEMT 的复合材料共振频率模型，并与 MGT、CMA 模型及测量结果进行了比较。在共振频率的模型与测量比较之后，进行了弛豫频率的模型与测量比较。在弛豫频率研究中测试了 CMA、MGT、Schlomann 模型以及 Schlomann 的体积缩放修正模型。本文强调这些模型的广泛适用性，因此给出了涵盖多种颗粒化学成分的复合材料数据。ScEMT 对磁化率和共振频率的预测继续与测量结果保持合理一致，并代表了相对于 CMA 和 MGT 模型的改进。对 Schlomann 的 ScEMT 修正显示出与弛豫频率测量结果总体最佳的一致性。CMA 和 MGT 对中等磁化率（约 < 100）最为准确，而 ScEMT 修正的 Schlomann 模型对大磁化率最为准确。
英文摘要：
Maxwell-Garnett Theory (MGT), Bruggeman Effective Medium Theory (BEMT), Coherent Model Approximation (CMA), Scaled Effective Medium Theory (ScEMT) and models of Schlomann (E. Schlomann, Phys. Rev. B, 182, 7, 632 (10 June 1969) and E. Schlomann, Conf. on Mag. and Mag. Materials, AIEE Spec. Publ. T-91, 600 (1956)) are applied to predict magnetic susceptibility, resonant and relaxation frequency in polymer-magnetic particle composites. Particulates had aspect ratios near unity; bulk low frequency susceptibilities ranging from approximately 5 to 4000 and particle volume fractions between 1 and 100%. Previous publications demonstrated that ScEMT improved the prediction of DC susceptibility as compared to classical models. This paper first modifies BEMT and ScEMT for volume fractions below about 10%. A ScEMT based model of composite resonant frequency is presented and compared to MGT, CMA models and measurement. Model and measurement comparisons of resonant frequency are followed by model-measurement comparisons of relaxation frequency. CMA, MGT, models of Schlomann, and volumetric scaled modifications of Schlomann are tested in the relaxation frequency study. The paper emphasizes the broad application of the models and therefore composite data for a wide range of particulate chemistries are presented ScEMT predictions of susceptibility and resonant frequency continue to show reasonable agreement with measurement and represent improvement over the CMA and MGT models. ScEMT modifications to Schlomann show overall best agreement with relaxation frequency measurement. CMA and MGT are most accurate for modest susceptibility (~ < 100) while ScEMT modified Schlomann models are most accurate for large susceptibility.
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