Geodesic
Simulation of the bond problem of the one-dimensional percolation theory on the nondirectional count
Matematičeskoe modelirovanie, Tome 24 (2012) no. 11, pp. 72-82

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The mathematical model of the solution of an one-dimensional bond problem with use of the theory of counts is viewed at arbitrary radius of a percolation. The new algorithm of tagging-out of the clusters is offered, allowing on a matrix of a contiguity of the nondirectional count to spot course presence in a chain. Within the framework of this model there is possible a solution of an one-dimensional bond problem without construction of a coating lattice for the finite size systems. The model can be used at examination hopping conductance in semiconductors and the anomalous diffusion at low temperatures, and also at interpretation of experimental data in nanometer and mesoscopic systems.
Keywords: percolation theory, one-dimensional bond problem, cluster, theory of counts, critical exponents, scaling hypothesis. 
@article{MM_2012_24_11_a5,
     author = {M. A. Bureeva and V. N. Udodov},
     title = {Simulation of the bond problem of the one-dimensional percolation theory on the nondirectional count},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {72--82},
     publisher = {mathdoc},
     volume = {24},
     number = {11},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2012_24_11_a5/}
}
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M. A. Bureeva; V. N. Udodov. Simulation of the bond problem of the one-dimensional percolation theory on the nondirectional count. Matematičeskoe modelirovanie, Tome 24 (2012) no. 11, pp. 72-82. http://geodesic.mathdoc.fr/item/MM_2012_24_11_a5/