Jamming and percolation properties of random sequential adsorption with relaxation
arXiv:1808.05637 · doi:10.1103/PhysRevE.98.062118
Abstract
The random sequential adsorption (RSA) model is a classical model in Statistical Physics for adsorption on two-dimensional surfaces. Objects are deposited sequentially at random and adsorb irreversibly on the landing site, provided that they do not overlap any previously adsorbed object. The kinetics of adsorption ceases when no more objects can be adsorbed (jamming state). Here, we investigate the role of post-relaxation on the jamming state and percolation properties of RSA of dimers on a two-dimensional lattice. We consider that, if the deposited dimer partially overlaps with a previously adsorbed one, a sequence of dimer displacements may occur to accommodate the new dimer. The introduction of this simple relaxation dynamics leads to a more dense jamming state than the one obtained with RSA without relaxation. We also consider the anisotropic case, where one dimer orientation is favored over the other, finding a non-monotonic dependence of the jamming coverage on the strength of anisotropy. We find that the density of adsorbed dimers at which percolation occurs is reduced with relaxation, but the value depends on the strength of anisotropy.
References in corpus (20)
- Jammed Hard-Particle Packings: From Kepler to Bernal and Beyond
- Recent advances in percolation theory and its applications
- Recent advances and open challenges in percolation
- Random Sequential Adsorption: From Continuum to Lattice and Pre-Patterned Substrates
- Percolation and jamming in random sequential adsorption of linear segments on square lattice
- A New Universality for Random Sequential Deposition of Needles
- Adsorption of Line Segments on a Square Lattice
- Percolation of linear -mers on square lattice: from isotropic through partially ordered to completely aligned state
- Random sequential adsorption of partially oriented linear -mers on square lattice
- Kinetic control of the coverage of oil droplets by DNA-functionalised colloids
- Shortest-Path Fractal Dimension for Percolation in Two and Three Dimensions
- Correction-to-scaling exponent for two-dimensional percolation
- Percolation of the aligned dimers on a square lattice
- Diverse types of percolation transitions
- The O(n) model on the annulus
- Shapes for maximal coverage for two-dimensional random sequential adsorption
- Jamming and percolation in random sequential adsorption of straight rigid rods on a two-dimensional triangular lattice
- Recent Theoretical Results for Nonequilibrium Deposition of Submicron Particles
- Colored Percolation
- Random Sequential Adsorption on mobile patches
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