Frequency and spatial characteristics of the electrophysical parameters of a living tree trunk |
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Authors: | V K Balkhanov V R Advokatov and Yu B Bashkuev |
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Institution: | 1.Buryat Scientific Center, Siberian Branch, Russian Academy of Sciences, Ulan-Ude, 670047, Russia ; |
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Abstract: | The method of vertical electrical sounding is applied to derive the spatial characteristic of the dc resistivity ρ of a living
pine trunk, ρ = L-0.85, and the frequency characteristic of the ac resistance R of the same pine trunk, R = f-0.053. The results are simulated by the methods of fractal geometry, according to which ρ = L
−h + 2 and $
R \sim f^{ - \tfrac{3}
{h} + 1}
$
R \sim f^{ - \tfrac{3}
{h} + 1}
, where h is the walk dimension of the electric current in the trunk. From comparison between the experimental and theoretical results,
it follows that h = 2.85 and fractal dimension D = 1/h = 0.35. Since D = 1, conducting layers form a Cantor set. |
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Keywords: | |
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