P. M. Centres
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View article: Jamming and percolation of linear <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>k</mml:mi></mml:math>-mers on honeycomb lattices
Jamming and percolation of linear -mers on honeycomb lattices Open
Numerical simulations and finite-size scaling analysis have been performed to study the jamming and percolation behavior of elongated objects deposited on two-dimensional honeycomb lattices. The depositing particle is modeled as a linear a…
View article: Irreversible bilayer adsorption of straight semirigid rods on two-dimensional square lattices: Jamming and percolation properties
Irreversible bilayer adsorption of straight semirigid rods on two-dimensional square lattices: Jamming and percolation properties Open
Numerical simulations and finite-size scaling analysis have been performed to study the jamming and percolation behavior of straight semirigid rods adsorbed on two-dimensional square lattices. The depositing objects can be adsorbed on the …
View article: Random sequential adsorption on Euclidean, fractal, and random lattices
Random sequential adsorption on Euclidean, fractal, and random lattices Open
Irreversible adsorption of objects of different shapes and sizes on Euclidean, fractal, and random lattices is studied. The adsorption process is modeled by using random sequential adsorption algorithm. Objects are adsorbed on one-, two-, …
View article: Percolation of aligned rigid rods on two-dimensional triangular lattices
Percolation of aligned rigid rods on two-dimensional triangular lattices Open
The percolation behavior of aligned rigid rods of length k (k-mers) on two-dimensional triangular lattices has been studied by numerical simulations and finite-size scaling analysis. The k-mers, containing k identical units (each one occup…
View article: Jamming and percolation of <i>k</i> <sup>2</sup>-mers on simple cubic lattices
Jamming and percolation of <i>k</i> <sup>2</sup>-mers on simple cubic lattices Open
Geometric phase transition of cubes and tiles (k×k×k and k×k>×1) deposited on simple cubic lattices have been studied by numerical simulations complemented with finite-size scaling theory. The objects were irreversibly deposited into the l…
View article: Percolation of defective dimers irreversibly deposited on honeycomb and triangular lattices
Percolation of defective dimers irreversibly deposited on honeycomb and triangular lattices Open
The percolation problem of irreversibly deposited dimers on honeycomb and triangular lattices is studied. A dimer is composed of two segments, and occupies two adjacent adsorption sites. Each segment can be either a conductive segment (seg…
View article: Standard and inverse bond percolation of straight rigid rods on square lattices
Standard and inverse bond percolation of straight rigid rods on square lattices Open
Numerical simulations and finite-size scaling analysis have been carried out to study standard and inverse bond percolation of straight rigid rods on square lattices. In the case of standard percolation, the lattice is initially empty. The…
View article: Site-bond percolation of heteronuclear dimers irreversibly deposited on square lattices
Site-bond percolation of heteronuclear dimers irreversibly deposited on square lattices Open
A generalization of the site-bond percolation problem was studied, in which pairs of neighboring sites (site dimers) and bonds are occupied irreversibly, randomly, and independently on homogeneous square surfaces. A dimer is composed of tw…
View article: Thermodynamics of Small Magnetic Particles
Thermodynamics of Small Magnetic Particles Open
In the present paper, we discuss the interpretation of some of the results of the thermodynamics in the case of very small systems. Most of the usual statistical physics is done for systems with a huge number of elements in what is called …
View article: Jamming for nematic deposition in the presence of impurities
Jamming for nematic deposition in the presence of impurities Open
The deposition of one-dimensional objects (such as polymers) on a one-dimensional lattice with the presence of impurities is studied in order to find saturation conditions in what is known as jamming. Over a critical concentration of k-mer…
View article: Site-bond percolation on simple cubic lattices: numerical simulation and analytical approach
Site-bond percolation on simple cubic lattices: numerical simulation and analytical approach Open
The site-percolation problem on simple cubic lattices has been studied by means of numerical simulation and analytical calculations based on exact counting of configurations on finite cells. Motivated by considerations of cluster connectiv…
View article: From single-file diffusion to two-dimensional cage diffusion and generalization of the totally asymmetric simple exclusion process to higher dimensions
From single-file diffusion to two-dimensional cage diffusion and generalization of the totally asymmetric simple exclusion process to higher dimensions Open
A two-dimensional constrained diffusion model is presented and characterized by numerical simulations. The model generalizes the one-dimensional single-file diffusion model by considering a cage diffusion constraint induced by neighboring …
View article: Percolation and jamming in random sequential adsorption of linear<i>k</i>-mers on square lattices with the presence of impurities
Percolation and jamming in random sequential adsorption of linear<i>k</i>-mers on square lattices with the presence of impurities Open
Percolation and jamming of linear k-mers (particles occupying k adjacent sites) on two-dimensional square lattices with impurities have been studied by numerical simulations and finite-size scaling analysis. The model offers a simplified r…
View article: Inverse percolation by removing straight rigid rods from square lattices
Inverse percolation by removing straight rigid rods from square lattices Open
Numerical simulations and finite-size scaling analysis have been carried out to study the problem of inverse percolation by removing straight rigid rods from square lattices. The process starts with an initial configuration, where all latt…
View article: Site trimer percolation on square lattices
Site trimer percolation on square lattices Open
Percolation of site trimers (k-mers with k=3) is investigated in a detailed way making use of an analytical model based on renormalization techniques in this problem. Results are compared to those obtained here by means of extensive comput…
View article: Random sequential adsorption of straight rigid rods on a simple cubic lattice
Random sequential adsorption of straight rigid rods on a simple cubic lattice Open
Random sequential adsorption of straight rigid rods of length $k$ ($k$-mers) on a simple cubic lattice has been studied by numerical simulations and finite-size scaling analysis. The calculations were performed by using a new theoretical s…