Dimensionality Dependence of the Conductivity Dispersion in Ionic Materials

Dimensionality Dependence of the Conductivity Dispersion in Ionic Materials
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离子材料中电导率色散的维数依赖性

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发表时间:
1999
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通讯作者:
D. Sidebottom
D. Sidebottom
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作者:
D. Sidebottom

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许多材料的介电响应以交流电导率的幂律频率依赖性的形式表现出普遍的行为。这种响应可见于所有类型的晶体和非晶结构以及所有类型的极化物质(包括偶极子和离子)。在这里,我证明对于离子材料,幂律指数随着离子传导路径维数的减小而减小。尽管自相似分形晶格上的随机游走等渗流概念提供了定性解释,但实验结果表明色散是原子长度尺度上发生的局域离子运动的结果。 {版权} {ital 1999} {ital 美国物理学会 }
The dielectric response of many materials exhibits universal behavior in the form of a power law frequency dependence of the ac conductivity. This response is seen in all types of structures both crystalline and amorphous and for all types of polarizing species including dipoles and ions. Here I demonstrate that for ionic materials the power law exponent decreases with decreasing dimensionality of the ion conduction pathways. Although percolation concepts such as random walks on a self-similar fractal lattice provide a qualitative explanation, experimental findings instead indicate that the dispersion is the result of localized ion motion occurring on an atomic length scale. {copyright} {ital 1999} {ital The American Physical Society }