# Random sequential adsorption, series expansion and Monte Carlo simulation

@article{Wang1998RandomSA, title={Random sequential adsorption, series expansion and Monte Carlo simulation}, author={Jian-Sheng Wang}, journal={Physica A-statistical Mechanics and Its Applications}, year={1998}, volume={254}, pages={179-184} }

Random sequential adsorption is an irreversible surface deposition of extended objects. In systems with continuous degrees of freedom coverage follows a power law, θ(t)≈θJ−ct−α, where the exponent α depends on the geometric shape (symmetry) of the objects. Lattice models give typically exponential saturation to jamming coverage. We discuss how such function θ(t) can be computed by series expansions and analyzed with Pade approximations. We consider the applications of efficient Monte Carlo…

## 21 Citations

Precise algorithm to generate random sequential adsorption of hard polygons at saturation.

- Medicine, PhysicsPhysical review. E
- 2018

This paper generalizes an algorithm to generate saturated RSA packings of two-dimensional polygons to calculate the saturation density for regular polygons of three to ten sides and obtains results that are consistent with previous, extrapolation-based studies.

From car parking to protein adsorption: an overview of sequential adsorption processes

- Materials Science, Chemistry
- 1999

The theoretical formalism and tools that allow the systematic study of kinetic and structural aspects of these sequential adsorption models are reviewed and how the reference RSA model may be generalized to account for a variety of experimental features including particle anisotropy, polydispersity, bulk diffusive transport, gravitational effects, surface-induced conformational and orientational change, desorption, and multilayer formation are shown.

Simulation Studies for Random Sequential Adsorption in Narrow Slit: Two-Dimensional Parking Model

- Mathematics
- 2008

largest gap between two successive rods is less than the length of a rod, the parking is full or jamming. During the RSA process, particles are deposited at random positions, one at each time step,…

A comparative study on the effect of hydrodynamic interactions in the non-sequential deposition of concentrated colloidal dispersions: stochastic rotation dynamics and Brownian dynamics simulations

- Chemistry
- 2015

Irreversible adsorption of particles onto a flat surface as a consequence of sedimentation colloidal suspension has been studied by two simulation techniques: Brownian dynamics (BD) and stochastic…

Computational evaluation of effective material properties of composites reinforced by randomly distributed spherical particles

- Materials Science
- 2007

Evaluation of influence of interphase material parameters on effective material properties of three phase composites

- Materials Science
- 2008

In this paper, evaluation of effective material properties of different types of three phase composites (reinforcement, matrix and in between interphase) using numerical homogenization techniques…

Generation of random distribution of fibres in long-fibre reinforced composites

- Materials Science
- 2008

Numerical study of the effects of irregular pores on transverse mechanical properties of unidirectional composites

- Materials Science
- 2018

A NUMERICAL HOMOGENIZATION TECHNIQUE FOR PIEZOELECTRIC COMPOSITES WITH ARBITRARY FIBER DISTRIBUTION

- 2009

In this paper a numerical technique for calculating effective properties of piezoelectric fiber composites with arbitrary fiber distribution is introduced. The method is based on finite element…

## References

SHOWING 1-10 OF 44 REFERENCES

Random sequential adsorption: Series and virial expansions

- Chemistry
- 1991

We introduce an operator formalism for random sequential adsorption on lattices and in continuous space. This provides a convenient framework for deriving series expansions for the deposition rate…

COLLECTIVE EFFECTS IN RANDOM SEQUENTIAL ADSORPTION OF DIFFUSING HARD SQUARES

- Physics
- 1993

We study by Monte Carlo computer simulations random sequential adsorption (RSA) with diffusional relaxation, of lattice hard squares in two dimensions. While for RSA without diffusion the coverage…

Kinetics of multilayer adsorption: Monte Carlo studies of models without screening

- Physics
- 1990

New 1D and 2D lattice models are introduced to study irreversible multilayer adsorption processes observed in recent experiments in colloid systems. Kinetics of deposition without screening (with no…

Random and cooperative sequential adsorption

- Physics
- 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…

Irreversible multilayer adsorption

- Materials Science, Physics
- 1993

Random sequential adsorption (RSA) models have been studied [1] due to their relevance to deposition processes on surfaces. The depositing particles are represented by hard-core extended objects;…

Locally frozen defects in random sequential adsorption with diffusional relaxation

- Mathematics, Physics
- 1993

Random sequential adsorption with diffusional relaxation, of two by two square objects on the two-dimensional square lattice, is studied by Monte Carlo computer simulation. Asymptotically for large…

A Fast Algorithm For Random Sequential Adsorption Of Discs

- Mathematics, Physics
- 1994

An efficient simulation algorithm for random sequential adsorption of discs is implemented. By dividing the surface into small squares, depositions are attempted only on squares that are actually…

Random sequential adsorption: Long time dynamics

- Chemistry
- 1995

Analytical expressions are derived for the long time behavior of the coverage density ρ(t) in lattice models of irreversible deposition. For deposition processes on the square lattice with exclusion…

Series expansion studies of random sequential adsorption with diffusional relaxation

- Physics
- 1997

We obtain long series (28 terms or more) for the coverage (occupation fraction) $\theta$, in powers of time $t$ for two models of random sequential adsorption with diffusional relaxation using an…

Kinetics and Jamming Coverage in a Random Sequential Adsorption of Polymer Chains.

- Materials Science, MedicinePhysical review letters
- 1996

Understanding the growth of coverage in twodimensions with the RSA lacks rigorous results by ana-lytical methods due to their intractabilities especially for objects with polydisperse shapes, therefore, computersimulations remain one of the primary tools to invest in these problems.