We formulate the Wolff algorithm as a site-bond percolation problem, apply it to the ferromagnetic and antiferromagnetic planar triangular spin models, and study the percolation critical behavior using Anite-size scaling. In the former case the Wold' algorithm is successful as an accelerating algorithm, whereas in the latter case it is not. We found the percolation temperatures and the cluster ...

We first introduce the percolation problems associated with the graph theoretical concepts of (k, l)-sparsity, and make contact with the physical concepts of ordinary and rigidity percolation. We then devise a renormalization transformation for (k, l)-percolation problems, and investigate its domain of validity. In particular, we show that it allows an exact solution of (k, l)-percolation probl...

The phase behavior of model athermal silica ~radius R550 nm!–polystyrene–toluene suspensions has been determined over nearly two orders of magnitude in polymer or colloid size asymmetry. Fluid–gel, fluid–crystal, and fluid–fluid transitions are observed as Rg , the polymer radius of gyration, increases. Based on the polymer concentration relative to the dilute–semidilute crossover density, cp /...

We define a percolation problem on the basis of spin configurations of the two-dimensional XY model. Neighboring spins belong to the same percolation cluster if their orientations differ less than a certain threshold called the conducting angle. The percolation properties of this model are studied by means of Monte Carlo simulations and a finite-size scaling analysis. Our simulations show the e...

Abstract. According to the state of art in mining and repository research, undisturbed rock salt is impermeable fluids. Hence, formations are considered as host for nuclear waste repositories. Viscous, polycrystalline with low humidity contains no connected pore spaces. Two mechanisms known fluid transport: (a) damage due large deviatoric tensile stresses generates dilatancy, hence permeability...

Electrical conductivity and permittivity of carbon black-polyvinyl chloride composites were studied over a wide frequency spectrum (dc, 1.3 GHz). Conductivity of the bulk composites increases with higher volume fraction of carbon black as expected. However, the functional dependence of the increasing conductivity with carbon black loading is different below and above the percolation threshold b...

We study percolation in the hierarchical lattice of order N where the probability of connection between two points separated by distance k is of the form ck/N , δ > −1. Since the distance is an ultrametric, there are significant differences with percolation in the Euclidean lattice. We consider three regimes: δ < 1, where percolation occurs, δ > 1, where it does not occur, and δ = 1 which is th...

The location and nature of the percolation transition in random networks is a subject of intense interest. Recently, a series of graph evolution processes have been introduced that lead to discontinuous percolation transitions where the addition of a single edge causes the size of the largest component to exhibit a significant macroscopic jump in the thermodynamic limit. These processes can hav...

Above a certain density threshold, suspensions of rodlike colloidal particles form system-spanning networks. Using Monte Carlo simulations, we investigate how the depletion forces caused by spherical particles affect these networks in isotropic suspensions of rods. Although the depletion forces are strongly anisotropic and favor alignment of the rods, the percolation threshold of the rods decre...