We study by Monte Carlo computer simulations random sequential adsorption with diffusional relaxation of polymer chains of size N onto a square lattice. The coverage θ(t) is found to grow to full saturation with a power-law behaviour i.e., θ(t) ∼ 1 − t−y, where the exponent y ≈ 1/(N...

We propose a generalized car parking problem where either a car of size σ or of size mσ (m1) is sequentially parked on a line with probability q and (1−q), respectively. The free parameter q interpolates between the classical car parking problem at either extreme (q=0 and 1) and the...

Flow of polymer chains is studied as a function of temperature (T), field (E), and chain length (Lc) by a hybrid computer simulation. In low field, the polymer flow rate density (j) shows a linear response, i.e., Darcy law, j=φE at high temperatures and a power-law response j=φEδ at low...

Monte Carlo simulations are performed to study the conformational and dynamical properties of interacting polymer chains with counterion solvent background in porous media generated by a random distribution of quenched barriers of concentration pb. We study the dependence of the radius of...

We consider the reversible random sequential adsorption of line segments on a one-dimensional lattice. Line segments of length l⩾2 adsorb on the lattice with a adsorption rate Ka, and leave with a desorption rate Kd. We calculate the coverage fraction, and steady-state jamming limits by a...

Consider random sequential adsorption on a red/blue chequerboard lattice with arrivals at rate 1 on the red squares and rate λ on the blue squares. We prove that the critical value of λ, above which we get an infinite blue component, is finite and strictly greater than 1.

We have measured the distribution of distances between parked cars in a number of roads in central London. We compare the results with models of random sequential adsorption, or random car parking models, as they are often called. Our empirical results do not agree with these models, and hence...

Our previously developed integral-equation theories were applied to incorporate the effect of polydispersity in the study of the random sequential addition of spherical particles. By using the simplest uniform size distribution, we found that results from theories were in consistence with the...

In a preceding paper, Šćepanović et al. [J.R. Šćepanović, I. Lončarević, Lj. Budinski-Petković, Z.M. Jakšić, S.B. Vrhovac, Phys. Rev. E 84 (2011) 031109. http://dx.doi.org/10.1103/PhysRevE.84.031109] studied the diffusive motion of k-mers on the planar triangular lattice. Among other...

The fluctuations in the number of aligned and unaligned hard-squares deposited on a subvolume of a finite flat surface through a random sequential adsorption process are analyzed from Monte Carlo computer simulations. Approximate expressions for the coverage dependence of the relative...