Modeling of Random Formation of Microporous Material Following Thermodynamic Limitations

Modeling of Percolation/Permeability in Microporous Systems

“…In these papers, equations for estimation of many of structural characteristics of microporous materials were derived. However, between these papers, the problem of percolation was analyzed only in (6). Even in this publication the solution was just numerical.…”

“…At large values of m, the fractal dimensionality is close to 3, but increasing the degree of polymerization (aggregation) reduces the fractal dimensionality (6).…”

“…[2] for the estimation of the probability of percolation and, if that is over the specified percolation threshold, the tortuosity is evaluated from Eq. [6].…”

Evaluation of Permeability of Microporous Media, Using the Modified Random-Trajectory Approach

“…The Monte Carlo approach can be applied to both solid structure and fluid (4). Another option in the use of Monte Carlo regards its combination with a nonstochastic approach, for example, thermodynamics (5). The Monte Carlo method is applicable to absolutely disordered systems, in which structural changes are possible with the same probability (6,7).…”

Random Trajectory Modeling of Limited-Volume Percolation in a Microporous Structure

“…Among these properties, percolation-related characteristics were studied: a numerical (combined Monte Carlo-thermodynamic) model was proposed in (3), while an analytical finite-cluster model was proposed in (6). The general drawback of both models consists in their complexity and strict requirements to the modeled objects.…”