On nonscaling probability function for passing in a simple cubic lattice: theory and computer experiment

Using known properties of the probability function for passing in a simple cubic lattice with $L=2$ in approximation of a linear relation between a passing threshold of an infinite lattice $x_c$ and average value $x_{cL}$ of a finite lattice, we introduce a nonscaling probability function of passing of a lattice with $L>2$. We show that on the passing threshold nonscaling probabilities for all simple cubic lattices are the same. Computer experiments based on the Monte-Carlo method are in agreement with the theory proposed.