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P. V. Moskalev

Publications and source records attributed to P. V. Moskalev.

6 recordsLinked to original sources
arXiv2013

Percolation modeling of hydraulic hysteresis in a porous media

In this paper we consider various models of hydraulic hysteresis in invasive mercury porosimetry. For simulating the hydraulic hysteresis is used isotropic site percolation on three-dimensional square lattices with $(1, d)$-neighborhood. The relationship between the percolation model parameters and invasive porosimetry data is studied phenomenologically. The implementation of the percolation model is based on libraries SPSL and SECP, released under license GNU GPL-3 using the free programming language R.

cond-mat.stat-mech↗
arXiv2013

Estimates of threshold and strength of percolation clusters on square lattices with (1,d)-neighborhood

In this paper we consider statistical estimates of threshold and strength of percolation clusters on square lattices. The percolation threshold $p_c$ and the strength of percolation clusters $P_\infty$ for a square lattice with $(1, d)$-neighborhood depends not only on the lattice dimension, but also on the Minkowski exponent $d$. To estimate the strength of percolation clusters $P_\infty$ proposed a new method of averaging the relative frequencies of the target subset of lattice sites. The implementation of this method is based on the SPSL package, released under GNU GPL-3 using the free programming language R.

cond-mat.stat-mech↗
arXiv2013

The structure of site percolation models on three-dimensional square lattices

In this paper we consider the structure of site percolation models on three-dimensional square lattices with various shapes of (1,d)-neighborhood. For these models, are proposed iso- and anisotropic modifications of the invasion percolation algorithm with (1,0)- and (1,d)-neighborhoods. All the above algorithms are special cases of the anisotropic invasion percolation algorithm on the n-dimensional lattice with a (1,d)-neighborhood. This algorithm is the basis for the package SPSL, released under GNU GPL-3 using the free programming language R.

cond-mat.stat-mech↗
arXiv2011

Statistical estimation of percolation cluster parameters

In this paper we study statistical methods of parameters estimation of the site percolation model. Advantages of the proposed method is demonstrated for the computing of the confidence interval of mass fractal dimension of a percolation clusters sampling, formed by the Monte Carlo method.

cond-mat.stat-mech↗