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生物物质的介电色散:结合德拜型响应和“通用”响应的模型

Dielectric dispersion of biological matter: model combining Debye-type and "universal" responses.

作者信息

Raicu V

机构信息

Department of Physiology, Kochi Medical School, Nankoku 783-8505, Japan.

出版信息

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Oct;60(4 Pt B):4677-80. doi: 10.1103/physreve.60.4677.

DOI:10.1103/physreve.60.4677
PMID:11970331
Abstract

The remarkably broad dielectric dispersions exhibited by solid dielectrics are well-known examples of the failure of Debye's relaxation theory; such dispersions are much better represented by a "fractional power law" described by Jonscher [A. K. Jonscher, Nature 267, 673 (1977)] as the "universal dielectric response." As it happens, however, recent experimental advances in this field suggest that neither of the two approaches is general enough to cope with the dielectric response of biological tissues, which combines striking features from both types of behavior. A phenomenological function is therefore proposed, which not only reproduces observations on biological tissues but also includes all of Jonscher's "universal response," the Debye, Cole-Cole, and Davidson-Cole functions, as its special cases.

摘要

固体电介质所呈现出的极为宽泛的介电色散是德拜弛豫理论失效的著名例子;此类色散用琼舍尔[A. K. 琼舍尔,《自然》267, 673 (1977)]所描述的“分数幂律”作为“通用介电响应”能得到更好的体现。然而,碰巧的是,该领域最近的实验进展表明,这两种方法都不够通用,无法应对生物组织的介电响应,因为生物组织的介电响应兼具这两种行为的显著特征。因此,提出了一种唯象函数,它不仅能重现对生物组织的观测结果,而且还将琼舍尔的“通用响应”、德拜函数、科尔 - 科尔函数和戴维森 - 科尔函数都作为其特殊情况包含在内。

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