An interacting lattice gas model is used to study flow of immiscible components A and B (molecular weights MA and MB,MA<MB) by Monte Carlo simulations. Concentration gradients and hydrostatic pressure bias (H) drive these constituents from their source at the bottom against gravitational sedimentation in an effective medium. Response of their flux densities (jA,jB) to the hydrostatic bias H are examined. If both constituents are released with equal probabilities (a non-interacting source), their flux densities respond linearly to bias with jA>jB except at the extreme bias H→1 where jA→jB. Flow response becomes complex if the constituents from their source are released according to their current lattice...</mb)>

Effects of uniform temperature and linear temperature gradient on flow rate and density profile of fluid driven from a source to an open system is studied by a Monte Carlo simulation in three dimensions. The steady-state density profile with uniform temperature differs significantly from that of...

A Mori-type equation for the lattice concentration of an interacting lattice gas is constructed on the basis of the master equation in the framework of the nonequilibrium statistical ensemble method due to Zubarev. The general expression for the diffusion coefficient, which takes into account...

A variational approach to collective diffusion in the interacting lattice gas, based on kinetics of microscopic states of the system, is presented. The approach accounts for equilibrium correlations and is capable of predicting the coverage dependence of the diffusion coefficient D(θ) in an...

The effects of molecular weights (MA,MB) on the self-organized segregation of immiscible constituents (A,B) driven by pressure bias (H=0.0–1.0) generated by geologic processes are examined by an interacting lattice gas Monte Carlo simulation. Constituents (A,B), released from a source at the...

During the 1960s but mainly in the 1970s, large mathematical dynamic global models were implemented in computers to simulate the entire world, or large portions of it. Several different but interrelated subjects were considered simultaneously, and their variables evolved over time in an attempt...

Работа посвящена оценке эффективности различных программ обследования индивидуумов, предрасположенных к развитию колоректального рака, с помощью...

Статья посвящена вопросам разработки маркетинговой стратегии страховой компании с использованием основных средств математического моделирования структуры....

In the theory of economics most models describing economic growth make use of differential equations. The examples are Solow's and Haavelmo's models. However, when they are used by econometricians many questions arise. Firstly, economic data are presented in discrete form, which implies the use...

In this paper, we demonstrate some properties of Alpha-stable (stable) random variables and processes. It turns out that with the use of suitable statistical estimation techniques, computer simulation procedures and numerical discretization methods it is possible to construct approximations of...