Structural response in steady-state flow of a multi-component driven system: interacting lattice gas simulation

Abstract

The effects of molecular weights ( M A , M B ) 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 bottom according to their lattice concentrations, can escape the lattice from top or bottom. The longitudinal steady-state density profiles ( A , B ) depend on their molecular weight and bias with linear, exponential, and non-monotonic decays with the height. The transverse density profiles show signatures of partial layering. The total number ( N ) of constituents remains nearly constant in steady state and seems to decay with the bias, N ∝ H - 0.14 for all but extreme range of H . At M A = 0.1 , M B ⩾ 0.8 , number of constituents ( N A , N B ) show non-monotonic dependence on H with N B ⪢ N A but a maximum in N A and minimum in N B .