Open AccessCorrelation length critical exponent as a function of the percolation radius for one-dimensional chains in bond problems
Author(s) -
T. V. Yakunina,
V. N. Udodov
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2094/2/022038
Subject(s) - percolation critical exponents , exponent , percolation threshold , critical exponent , lattice (music) , adjacency matrix , percolation (cognitive psychology) , square lattice , statistical physics , radius , condensed matter physics , mathematics , combinatorics , physics , quantum mechanics , ising model , phase transition , computer science , graph , linguistics , philosophy , computer security , neuroscience , acoustics , electrical resistivity and conductivity , biology
A one-dimensional lattice percolation model is constructed for the problem of constraints flowing along non-nearest neighbors. In this work, we calculated the critical exponent of the correlation length in the one-dimensional bond problem for a percolation radius of up to 6. In the calculations, we used a method without constructing a covering lattice or an adjacency matrix (to find the percolation threshold). The values of the critical exponent of the correlation length were obtained in the one-dimensional bond problem depending on the size of the system and at different percolation radii. Based on original algorithms that operate on a computer faster than standard ones (associated with the construction of a covering lattice), these results are obtained with corresponding errors.