Internal Percolation Problem

Details Internal Percolation Problem Internal Percolation Problem

2008-05-25

arxiv.org/abs/0805.3810v2

Physica B: Condensed Matter, Volume 405, Issue 5, 1 March 2010, Pages 1397-1402

Physics

Condensed Matter

Disordered Systems and Neural Networks

14 pages, 9 figures, 1 table

Scientific paper

Introduced and investigated new kind of percolation problem - so called internal percolation problem (IP). In usual percolation problem current flows from top to bottom of the system and here it can be called as external percolation problem (EP) despite of the IP case when voltage is applied to the system through bars which are inside of the hole in system. EP problem has two major parameters: M size of system and a0 size of inclusion, lattice size etc. IP holds one more parameter the size of hole - L. Results of computer simulation show that critical indexes of conductance for IP problem are very close to those in EP problem. In opposite indexes of relative spectral noise density of 1/f noise and higher moments are really differs from EP problem. The source of such behaviour is discussed.

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