Dimer percolation and jamming on simple cubic lattice

  title={Dimer percolation and jamming on simple cubic lattice},
  author={Yuri Yu. Tarasevich and V. A. Cherkasova},
  journal={The European Physical Journal B},
Abstract.We consider site percolation of dimers (“needles”) on simple cubic lattice. The percolation threshold is estimated as pcperc ≈ 0.2555 ± 0.0001. The jamming threshold is estimated as pcjamm = 0.799 ± 0.002.  

Jammed systems of oriented dimers always percolate on hypercubic lattices

  • Z. KozaG. Kondrat
  • Computer Science
    Journal of Statistical Mechanics: Theory and Experiment
  • 2020
Jammed states of the RSA process of nonoverlapping dimers in a hypercubic lattice of arbitrary space dimension D ⩾ 2 are considered and it is shown that each dimer in such a state belongs to a percolating cluster.

Percolation of polyatomic species on a simple cubic lattice

In the present paper, the site-percolation problem corresponding to linear k-mers (containing k identical units, each one occupying a lattice site) on a simple cubic lattice has been studied. The

The structure of percolated polymer systems: a computer simulation study

The scaling behavior and the structure of the percolation clusters are presented and discussed and the properties of the model system across the entire range of polymer concentrations were determined by Monte Carlo simulations employing a cooperative motion algorithm.

Percolation in polymer-solvent systems: a Monte Carlo study.

It was shown that the percolation threshold decreased strongly with the chain length, which is closely connected to changes in chains' structure with the decreasing polymer concentration.

Analytical approximation of the inverse percolation thresholds for dimers on square, triangular and honeycomb lattices

In this paper, an analytical approach to calculate inverse percolation thresholds in two-dimensional lattices is proposed. The new theoretical framework is obtained as a generalization of the

Jamming and percolation of k2-mers on simple cubic lattices

A complete analysis of critical exponents and universality has been done, showing that the percolation phase transition involved in the system has the same universality class as the 3D random percolations, regardless of the size k considered.

Percolation in two-dimensional systems containing cyclic chains

The structure of the system consisting of adsorbed cyclic polymer chains and solvent molecules was studied. Our main aim was to check how the percolation threshold in such a system was related to the



Percolation and jamming in random bond deposition.

A model is presented in which on the bonds of a square lattice linear segments ("needles") of a constant length a are randomly placed, and it is shown that the system undergoes a transition at a=6, obtaining the same value as for standard two-dimensional percolation.

Percolation and jamming in random sequential adsorption of linear segments on a square lattice.

  • G. KondratA. Pekalski
  • Computer Science
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2001
The results of a study of random sequential adsorption of linear segments (needles) on sites of a square lattice are presented and it is shown that the percolation threshold is a nonmonotonic function of the length of the adsorbed needle, while the jamming threshold decreases to a constant with a power law.

A new universality for random sequential deposition of needles

Abstract:Percolation and jamming phenomena are investigated for random sequential deposition of rectangular needles on d=2 square lattices. Associated thresholds Pcperc and Pcjam are determined for

Dimer site-bond percolation on a square lattice

Abstract.A generalization of the pure site and pure bond percolation problems in which pairs of nearest neighbor sites (site dimers) and linear pairs of nearest neighbor bonds (bond dimers) are

Random and cooperative sequential adsorption

Irreversible random sequential adsorption (RSA) on lattices, and continuum car parking analogues, have long received attention as models for reactions on polymer chains, chemisorption on

Interplay between jamming and percolation upon random sequential adsorption of competing dimers and monomers.

  • F. RampfE. Albano
  • Computer Science
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2002
The competitive random coadsorption of dimers and monomers, with probabilities P(D) and P(M), such as P( D)+P(M)=1, respectively, is studied numerically by means of Monte Carlo simulations and the subtle interplay between competitive coadsurption, jamming behavior and the emergency of percolation clusters is analyzed in detail.

Site-bond percolation of polyatomic species.

By using Monte Carlo simulations and finite-size scaling theory, data from S intersection of B and S union of B are analyzed in order to determine the critical curves separating the percolating and nonpercolating regions.

3d Monte Carlo simulation of site-bond continuum percolation of spheres

Abstract:We present off-lattice Monte Carlo simulations of site-bond percolation of semi-penetrable spheres or, equivalently, of hard spheres with a finite bond range. We will show that the crucial

Percolational and fractal property of random sequential packing patterns in square cellular structures.

  • Nakamura
  • Physics
    Physical review. A, General physics
  • 1987
The percolational and fractal property of the packing patterns are investigated, and it is clarified that the maximum critical percolation length of the packed squares is presented for the insulator-to-metal transition to take place on the random sequential packing textures.