Nearly constant loss - the 2nd universality of AC conductivity by scaling down subsequent random walk steps by 1/t^(1/2)

Baruch Vainas

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arXiv · 1604.06761

Nearly constant loss - the 2nd universality of AC conductivity by scaling down subsequent random walk steps by 1/t^(1/2)

Baruch Vainas

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Abstract

In the frequency domain, the nearly constant loss, is characterized by a slope 1 in log of the real part of the electrical conductivity vs log frequency plots. It can be explained by an anomalous diffusion, defined by a random walk with the mean square displacement proportional to the logarithm of time, rather than being linearly proportional to time, as in normal diffusion. The present work suggests a random walk algorithm that leads to anomalous, logarithmic time dependence. That has been accomplished by scaling down the subsequent random walk displacements by a factor, 1/t^(1/2)

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BibTeX RIS

Baruch Vainas. 2016-04-22. Nearly constant loss - the 2nd universality of AC conductivity by scaling down subsequent random walk steps by 1/t^(1/2). https://arxiv.org/abs/1604.06761

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