The interacting lattice gas model is used to simulate fluid flow through an open percolating porous medium with the fluid entering at the source-end and leaving from the opposite end. The shape of the steady-state concentration profile and therefore the gradient field depends on the porosity (p). The root mean square (rms) displacements of fluid and its constituents (tracers) show a drift power...

– A new method is used to measure the stress and elastic constants of purely entropic phantom networks, in which a fraction p of neighbors are tethered by inextensible bonds. We find that close to the percolation threshold pc the shear modulus behaves as (p−pc) , where the exponent f ≈ 1.35 in two dimensions, and f ≈ 1.95 in three dimensions, close to the corresponding values of the conductivit...

Percolation is a concept widely used in many fields of research and refers to the propagation of substances through porous media (e.g., coffee filtering), or the behaviour of complex networks (e.g., spreading of diseases). Percolation theory asserts that most percolative processes are universal, that is, the emergent powerlaws only depend on the general, statistical features of the macroscopic ...

Multi phase fluids are common in energy-related geotechnical problems, including gaswater, gas-oil, ice-water, hydrate-water, and oil-water fluid conditions. The generalization of classical unsaturated soil mechanics concepts to energy geotechnology requires physical understanding of surface tension, contact angle, capillary pressure, solubility and nucleation. Eventually, these pore-level proc...

During the last few years, a number of works in computer simulation have focused on the clustering and percolation properties of simple fluids based in an energetic connectivity criterion proposed long ago by T.L. Hill [J. Chem. Phys. 23, 617 (1955)]. This connectivity criterion appears to be the most appropriate in the study of gas-liquid phase transition. So far, integral equation theories ha...

0301-0104/$ see front matter 2010 Elsevier B.V. A doi:10.1016/j.chemphys.2010.04.041 * Corresponding author. E-mail address: [email protected] (C.B Using Monte Carlo simulations, we study lateral electronic diffusion in dense monolayers composed of a mixture of redox-active and redox-passive chains tethered to a surface. Two charge transport mechanisms are considered: the physical dif...

The water percolation loss beyond root zone in the soil is one of the important parameters to determine water requirement of rice plant. If the amount of water percolation rate into the soil is estimated more carefully, determination of water requirement will be evaluated better and designing for system of irrigation, drainage and related establishments will be more easily done. The purpose of ...

A computer simulation model is used to study the density profile and flow of a miscible gaseous fluid mixture consisting of differing constituent masses (mA = mB/3) through an open matrix. The density profile is found to decay with the height ∝ exp(−mA(B)h), consistent with the barometric height law. The flux density shows a power-law increase ∝ (pc − p) μ with μ ≃ 2.3 at the porosity 1− p abov...

There are various models of first passage percolation (FPP) in R. We want to start a very general study of this topic. To this end we generalize the first passage percolation model on the lattice Z to R and adapt the results of [Boi90] to prove a shape theorem for ergodic random pseudometrics on R. A natural application of this result will be the study of FPP on random tessellations where a flu...

We study the two-dimensional first passage problem in which bonds have zero and unit passage times with probability p and 1 p, respectively. We prove that as the zero-time bonds approach the percolation threshold p~, the first passage time exhibits the same critical behavior as the correlation function of the underlying percolation problem. In particular, if the correlation length obeys ~(p) ~ ...