Abstract
An analysis of the phenomenon of osmosis within the lattice gas model is presented. The model considered is a two-species version of the Frisch-Hasslacher-Pomeau model with rest particles and a semipermeable membrane which is implemented as a boundary that blocks one species, but lets the other pass freely. In this way the equilibrium between a pure and a mixed subsystem can be studied. Analytic expressions for both the pressure difference and the fluctuations of this quantity are obtained from the entropy function for the lattice gas, and we find that these results are in good agreement with those obtained from simulation. The osmotic flow across the membrane is also studied. We characterize the concentration boundary layer, and an analytic expression for the osmotic permeability as a function of porosity is compared with results from simulations.
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Flekkøy, E.G., Feder, J. & Jøssang, T. Lattice gas simulations of osmosis. J Stat Phys 68, 515–532 (1992). https://doi.org/10.1007/BF01341760
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DOI: https://doi.org/10.1007/BF01341760