# COLLECTIVE EFFECTS IN RANDOM SEQUENTIAL ADSORPTION OF DIFFUSING HARD SQUARES

@article{Wang1993COLLECTIVEEI, title={COLLECTIVE EFFECTS IN RANDOM SEQUENTIAL ADSORPTION OF DIFFUSING HARD SQUARES}, author={J.-S. Wang and P. Nielaba and Vladimir Privman}, journal={Modern Physics Letters B}, year={1993}, volume={07}, pages={189-196} }

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 approaches its maximum jamming value (large-time fractional coverage) exponentially, added diffusion allows the deposition process to proceed to the full coverage. The approach to the full coverage is consistent with the ~ t−1/2 power law reminiscent of the equilibrium cluster coarsening in models…

## 24 Citations

Random sequential adsorption, series expansion and Monte Carlo simulation

- Mathematics, Physics
- 1998

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…

Computer simulation of random sequential adsorption of two interacting species on a lattice

- Materials Science
- 1994

A computer-simulation model is introduced to study the variation in the coverage and porosity in a binary system by random sequential adsorption on a periodic square lattice. We study the effects of…

Series expansion and computer simulation studies of random sequential adsorption

- Chemistry
- 2000

Abstract We discuss two important techniques; series expansion and Monte Carlo simulation, for a random sequential adsorption study. Random sequential adsorption is an idealization for surface…

Random sequential adsorption and diffusion of dimers and k-mers on a square lattice

- Physics, Chemistry
- 2001

We have performed extensive simulations of random sequential adsorption and diffusion of k-mers, up to k=5 in two dimensions with particular attention to the case k=2. We focus on the behavior of the…

Random sequential adsorption on imprecise lattice.

- Physics, MedicineThe Journal of chemical physics
- 2016

It is reported that even an arbitrarily small imprecision in the lattice-site localization changes the convergence to jamming from fast, exponential, to slow, power-law, with, for some parameter values, a discontinuous jump in the jamming coverage value.

Irreversible sequential adsorption of k-mers with diffusional relaxation on a one-dimensional lattice

- Chemistry
- 2003

We consider the random sequential adsorption (RSA) of line segments with diffusional relaxation on a one-dimensional lattice by using Monte Carlo method. The line segments with a length k deposit…

Random closest packing in a 2D lattice model

- Materials Science
- 2000

The dynamics of compaction of hard cross-shaped pentamers on the 2D square lattice is investigated. The addition of new particles is controlled by diffusive relaxation. It is shown that the filling…

Grand canonical Brownian dynamics simulation of colloidal adsorption

- Chemistry
- 1997

A dynamic simulation of colloidal adsorption has been developed to probe the effects of colloidal interactions on the kinetics and extent of adsorption. The simulation accounts for diffusion by…

Irreversible deposition of extended objects with diffusional
relaxation on discrete substrates

- Physics
- 2010

AbstractRandom sequential adsorption with diffusional relaxation of extended objects
both on a one-dimensional and planar triangular lattice is studied numerically
by means of Monte Carlo…

Nonstandard convergence to jamming in random sequential adsorption: The case of patterned one-dimensional substrates

- Physics
- 2018

Abstract We study approach to the large-time jammed state of the deposited particles in the model of random sequential adsorption. The convergence laws are usually derived from the argument of Pomeau…

## References

SHOWING 1-9 OF 9 REFERENCES

Statistical Physics

- Nature
- 1971

Statistical Physics. By F. Mandl. Pp. xiii + 379. (Wiley: London and New York, July 1971.) £2.75. Statistical Physics. By A. Isihara. Pp. xv + 439. (Academic: New York and London, June 1971.) $18.50;…

Mouritsen, in Kinetics and Ordering and Growth at Surfaces

- Mouritsen, in Kinetics and Ordering and Growth at Surfaces
- 1983

Europhys. Lett. Mod. Phys. Lett. B J. Chem. Phys

- Europhys. Lett. Mod. Phys. Lett. B J. Chem. Phys
- 1992

J. Phys. Chem

- J. Phys. Chem
- 1992

Int. J. Mod. Phys. B5 J.W. Evans, Rev. Mod. Phys

- Int. J. Mod. Phys. B5 J.W. Evans, Rev. Mod. Phys
- 1991

Numerical studies of the RSA process of hard squares without diffusion were

- J. Chem. Phys. J. Chem. Phys
- 1987

J. Stat. Phys

- J. Stat. Phys
- 1984

, in Kinetics and Ordering and Growth at Surfaces , p . 1 , M . G . Lagally , ed . ( Plenum , NY , 1990 ) ; A . Sadiq and K . Binder

- Phase Transitions and Critical Phenom
- 1983

J. Colloid Interface Sci. Phys. Rev. A33 J. Chem. Soc. Faraday Trans

- J. Colloid Interface Sci. Phys. Rev. A33 J. Chem. Soc. Faraday Trans
- 1980