Percolation model of combustion

THE SCALING LAW FOR THE DISCRETE KINETIC GROWTH PERCOLATION MODEL

The Scaling Law for the Discrete Kinetic Growth Percolation Model The critical exponent of the total number of finite clusters α is calculated directly without using scaling hypothesis both below and above the percolation threshold pc based on a kinetic growth percolation model in two and three dimensions. Simultaneously, we can calculate other critical exponents β and γ, and show that the scal...

Percolation model of axon guidance

In the developing brain neurons interconnect via the action of molecules that guide the axon to its targets, thus allowing the proper wiring scheme to emerge. It is not fully understood whether the underlying mechanism is wholly deterministic or not. The existence of “choice-points” and “decision-regions” suggests that options are available to the growth cone. The guidance mechanism is here sim...

Kinetic Model of Coal Combustion

Invasion Percolation in Presence of Gravity

Simultaneous capillary dominated displacement of the wetting and non-wetting phases are processes of interest in many disciplines including modeling of the penetration of polluting liquids in hydrology or the secondary migration in petroleum reservoir engineering. Percolation models and in particular invasion percolation is well suited to characterize the slow immiscible displaceme...

Model for Anisotropic Directed Percolation

We propose a simulation model to study the properties of directed percolation in two-dimensional (2D) anisotropic random media. The degree of anisotropy in the model is given by the ratio μ between the axes of a semiellipse enclosing the bonds that promote percolation in one direction. At percolation, this simple model shows that the average number of bonds per site in 2D is an invariant equal ...