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)>

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...

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...

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...