SPLINE INTERPOLATION IN PERCOLATION MODELS

  • Nataliya Igorevna Limanova
  • Marina Anatolievna Trenina

Abstract

In the paper it is proposed to approximate by spline interpolation the dependences of the percolation probability from probability of filling the lattice for a variety of small finite systems. Obtained by the authors spline-functions with an error of less than 15% describe the behavior of the system in the area of phase transition. Using these functions allows you to increase the step changes in the probability of lattice filling in the process of computing experiment in the same margin of calculations error. The proposed approach makes it possible to reduce the amount of calculations in more than 20 times.
Section
Technical Sciences