Two-Dimensional Systems of Elongated Particles: From Diluted to Dense
@article{Lebovka2019TwoDimensionalSO, title={Two-Dimensional Systems of Elongated Particles: From Diluted to Dense}, author={Nikolai I. Lebovka and Yuri Yu. Tarasevich}, journal={arXiv: Disordered Systems and Neural Networks}, year={2019} }
This chapter is devoted to the analysis of jamming and percolation behavior of two-dimensional systems of elongated particles. We consider both continuous and discrete spaces (with the special attention to the square lattice), as well the systems with isotropically deposited and aligned particles. Overviews of different analytical and computational methods and main results are presented.
Figures from this paper
6 Citations
Invariant percolation properties in random isotropic systems of conductive discorectangles on a plane: From disks to sticks
- Physicsphysica status solidi (b)
- 2023
Recently, some eccentricity-invariant properties of random, isotropic, two-dimensional (2D) systems of conductive ellipses have been reported [Phys. Rev. B \bf{104}, 184205 (2021)]. Moreover, the…
Random sequential adsorption: An efficient tool for investigating the deposition of macromolecules and colloidal particles.
- Computer ScienceAdvances in colloid and interface science
- 2022
Random sequential adsorption of rounded rectangles, isosceles and right triangles
- MathematicsJournal of Physics A: Mathematical and Theoretical
- 2022
We studied random sequential adsorption (RSA) of three classes of polygons with rounded corners: rectangles, isosceles triangles, and orthogonal triangles. Using the algorithm that enables the…
Confinement effects on the random sequential adsorption packings of elongated particles in a slit.
- Materials SciencePhysical review. E
- 2021
The observed nontrivial dependencies of the jamming coverage φ (ɛ) or φ(h) were explained by the interplay of the different geometrical factors related to confinement, particle orientation degrees of freedom and excluded volume effects.
Connectedness percolation in the random sequential adsorption packings of elongated particles.
- Materials SciencePhysical review. E
- 2021
Anisotropy in the localization of the percolation threshold was also observed in finite-sized packings, but it disappeared in the limit of infinitely large systems.
Random sequential adsorption of partially ordered discorectangles onto a continuous plane.
- Materials SciencePhysical review. E
- 2020
The anisotropic deposition, i.e., the orientations of the deposited particles were uniformly distributed within some interval such that the particles were preferentially aligned along a given direction, was studied to study the changes in the packing fraction found at different values of such the alignment.
References
SHOWING 1-10 OF 188 REFERENCES
Slow dynamics of k-mers on a square lattice
- Mathematics
- 2002
Abstract We have performed extensive simulations of random sequential adsorption and diffusion of k-mers up to k = 5 on a square lattice with particular attention to the case k = 2. We observe that,…
Random and cooperative sequential adsorption
- Chemistry
- 1993
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…
Monte Carlo analysis of percolation of line segments on a square lattice.
- PhysicsPhysical review. B, Condensed matter
- 1994
It is strongly suggested that bi-dimensional systems generated by a random sequential adsorption of line-segments on a square lattice do not belong to the universality class of random site percolation.
Percolation transition and the anisotropy of electrical conductivity in the nanocomposite systems, filled with particles of anisotropic shape with a core- permeable shell structure
- Nanostructured Materials Science
- 2011
Random sequential adsorption on Euclidean, fractal, and random lattices.
- Computer SciencePhysical review. E
- 2019
The results obtained for Euclidean, fractal, and random lattices indicate that the quantities derived from the jamming probability W_{L(M)}(θ), such as (dW_{L}/dθ)_{max} and the inverse of the standard deviation Δ_{L), behave asymptotically as M^{1/2}.
Excluded volume and its relation to the onset of percolation
- Physics
- 1984
The general relationship between the percolation threshold of systems of various objects and the excluded volume associated with these objects is discussed. In particular, we derive the average…
Polyelectrolyte adsorption, interparticle forces, and colloidal aggregation.
- PhysicsSoft matter
- 2014
This review summarizes the current understanding of adsorption of polyelectrolytes to oppositely charged solid substrates, the resulting interaction forces between such substrates, and consequences…
Random sequential adsorption: from continuum to lattice and pre-patterned substrates
- Computer Science
- 2007
This work surveys aspects of the RSA model with emphasis on the approach to and properties of jammed states obtained for large times in continuum deposition versus that on lattice substrates, and on pre-patterned surfaces.
Minkowski tensor density formulas for Boolean models
- MathematicsAdv. Appl. Math.
- 2014