We study marginal forms on the borderline between Euclidean shapes and fractals. The fractal dimension equals the topological dimension. The fractal measure features a logarithmic correction factor, leading to a linear divergence of the area or length upon increasing the resolution instead of...

Civilization has embraced a highly refined essence of culture for well over 2,000 years. Commerce and quality of life have danced in a delicate and at times bold interplay throughout the evolution of humankind. Yet, never so precariously as it does, today.

This work correlates the resistance of concrete cores with the physical properties of the granular material forming it. A basic physical characterization is conducted, taking into account the origin of the grains involved in the concrete mixture; that is, if they come from natural degradation...

This paper presents a simulation study on the compaction of mono-sized spherical particles systems under symmetric vibration. The influence of the vibration amplitude on the density after 500000 vibration cycles and on the dynamics of vibration is first studied. It is shown that vibration brings...

This paper presents a simulation study on the compaction of confined mono-sized spherical particle systems under symmetric vibration. In the model used, a random loose packing is confined between two fixed random granular boundary conditions and is submitted to symmetric vibrations of constant...

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...

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...

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...

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...