Solution of the One-Dimensional Bond Problem in a Percolation Theory

Details Solution of the One-Dimensional Bond Problem in a Percolation Theory Solution of the One-Dimensional Bond Problem in a Percolation Theory

2011-01-24

arxiv.org/abs/1101.4449v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages, 6 figures, 1 table

Scientific paper

The results of investigations of main characteristics of a one-dimensional percolation theory (percolation threshold, critical exponents of correlation radius and specific heat, and free energy) are presented for the problem of bonds and sites. For the first time it is shown that for a finite-size system the stability condition is fulfilled while the scaling hypothesis is inacceptable for one-dimensional bond problem.

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