# Dimer percolation and jamming on simple cubic lattice

@article{Tarasevich2007DimerPA, title={Dimer percolation and jamming on simple cubic lattice}, author={Yuri Yu. Tarasevich and V. A. Cherkasova}, journal={The European Physical Journal B}, year={2007}, volume={60}, pages={97-100} }

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.

## 22 Citations

### Jammed systems of oriented dimers always percolate on hypercubic lattices

- Computer ScienceJournal 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

- Physics
- 2013

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

- Materials ScienceJournal of molecular modeling
- 2011

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.

### Analytical approximation of the site percolation thresholds for monomers and dimers on two-dimensional lattices

- PhysicsPhysica A: Statistical Mechanics and its Applications
- 2019

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

- Materials ScienceThe Journal of chemical physics
- 2009

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

- MathematicsJournal of Statistical Mechanics: Theory and Experiment
- 2019

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

- PhysicsPhysical review. E
- 2019

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

- Materials Science
- 2012

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…

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