Abstract:
The mathematical model of a one-dimensional mixed problem with use of the theory of counts is viewed at arbitrary radius of a percolation. A new algorithm to determine the percolation threshold of the mixed problem of the one-dimensional percolation theory. The model can be use at interpretation of results in quasi-one-dimensional nanometer systems.
Keywords:percolation theory, bond problem, site problem, mixed problem, theory of counts, cluster, critical exponent of specific heat.