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The internal percolation problem

โœ Scribed by I.V. Bezsudnov; A.A. Snarskii

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
450 KB
Volume
405
Category
Article
ISSN
0921-4526

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โœฆ Synopsis

The internal percolation problem (IP) as a new type of the percolation problem is introduced and investigated. In spite of the usual (or external) percolation problem (EP) when the percolation current flows from the top to the bottom of the system, in IP case the voltage is applied through bars which are present in the hole located within the system. The EP problem has two major parameters: M-size of the system and a 0 -size of inclusions, bond size, etc. The IP problem holds one parameter more: size of the hole L. Numerical simulation shows that the critical indexes of conductance for the IP problem are very close to those in the EP problem. On the contrary, the indexes of the relative spectral noise density of 1/f noise and higher moments differ from those in the EP problem. The basics of these facts is discussed.

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