Monte Carlo study of percolation of random discs in two dimensions with variable range of interaction is carried out. The critical exponents β and γ are found to be the same when analysed as a function of range of interaction or critical area fraction, for all levels of dilution
Algorithms are presented for the computationally efficient manipulation of graphs. These are subseq...
Monte Carlo simulations for the site percolation problem are presented for lattices up to 64 x 10 6 ...
It is shown that for continuum percolation with overlapping discs having a distribution of radii, th...
We calculate the scaling exponents of the two-dimensional correlated percolation cluster's hull and ...
A Monte Carlo method is used to calculate the threshold of percolation of holes between overlapping ...
We introduce several infinite families of critical exponents for the random-cluster model and presen...
The primary focus of this work is to obtain precise values of critical exponents associated with ran...
In chapter one, we explain briefly the continuum limit, scaling, and high temperature expansion of c...
We propose an approximate formula to determine the critical percolation density for continuum percol...
We investigate equivalent-neighbor percolation models in two dimensions with a variable interaction ...
In this paper we develop a method which combines the transfer matrix and the Monte Carlo methods to ...
Percolation theory is a useful tool when modeling the random interconnectivity of the microscopic el...
In this work we study the influence of different inhomogeneous perturbations on the critical behavio...
The percolation properties of suitably defined clusters of parallel spins have been studied for two ...
It is well know that systems with an interaction decaying as a power of the distance may have critic...
Algorithms are presented for the computationally efficient manipulation of graphs. These are subseq...
Monte Carlo simulations for the site percolation problem are presented for lattices up to 64 x 10 6 ...
It is shown that for continuum percolation with overlapping discs having a distribution of radii, th...
We calculate the scaling exponents of the two-dimensional correlated percolation cluster's hull and ...
A Monte Carlo method is used to calculate the threshold of percolation of holes between overlapping ...
We introduce several infinite families of critical exponents for the random-cluster model and presen...
The primary focus of this work is to obtain precise values of critical exponents associated with ran...
In chapter one, we explain briefly the continuum limit, scaling, and high temperature expansion of c...
We propose an approximate formula to determine the critical percolation density for continuum percol...
We investigate equivalent-neighbor percolation models in two dimensions with a variable interaction ...
In this paper we develop a method which combines the transfer matrix and the Monte Carlo methods to ...
Percolation theory is a useful tool when modeling the random interconnectivity of the microscopic el...
In this work we study the influence of different inhomogeneous perturbations on the critical behavio...
The percolation properties of suitably defined clusters of parallel spins have been studied for two ...
It is well know that systems with an interaction decaying as a power of the distance may have critic...
Algorithms are presented for the computationally efficient manipulation of graphs. These are subseq...
Monte Carlo simulations for the site percolation problem are presented for lattices up to 64 x 10 6 ...
It is shown that for continuum percolation with overlapping discs having a distribution of radii, th...
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