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title: "On the Measure of Fractal Dimensionalities through Physical Properties • CBPF Index"
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**Physics Note****Published**

# **On the Measure of Fractal Dimensionalities through Physical Properties**

**C. Tsallis**

1986

[**Download PDF **0.2 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb7c4/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=On%20the%20Measure%20of%20Fractal%20Dimensionalities%20through%20Physical%20Properties)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>C. Tsallis</dd>

<dt>Type</dt>
<dd>Physics Note</dd>

<dt>Status</dt>
<dd>Published</dd>

<dt>Publication date</dt>
<dd>1986</dd>

<dt>Description</dt>
<dd>The measure of the ''fractal dimensionalities'' of real substances through direct use of the mathematical definitions can be extremely cumbersome. We claim that in the case of arbitrarily rough and irregular conductors, the task can be considerably simplified by using the traditional skin effect. Indeed both ''electrical resistance'' and ''electromagnetic power dissipation'' should present anomalous power-law dependences on the applied frequency, the corresponding exponents being directly related to relevant fractal dimensionalities.</dd>

<dt>Year</dt>
<dd>1986</dd>

<dt>Number</dt>
<dd>CBPF-NF-001/86</dd>

<dt>Linked to a thesis</dt>
<dd>No</dd>

<dt>Linked to a grant</dt>
<dd>No</dd>

</dl>

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