Abstract
The force between two parallel plates immersed in a fluid of hard spheres is examined. Exact information about the model system is generated by Monte Carlo simulation of the density profile between two parallel, plane, hard walls. Theoretical calculations of two types are carried out and are found to agree very well with the simulations in certain regimes. The successful theory for very small gaps, barely exceeding one sphere diameter σ, incorporates the exact limiting law that the density approaches the fugacity as the gap approaches σ. The successful theory for wider gaps uses a superposition approximation of single-wall profiles, which are adequately approximated by the Percus shielding approximation. For high densities, we obtain oscillatory profiles similar to those obtained experimentally by Israelachvili and coworkers and in the computer simulations of Lane and Spurling.
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Wertheim, M.S., Blum, L., Bratko, D. (1990). Statistical Mechanics of Confined Systems: The Solvent-Induced Force Between Smooth Parallel Plates. In: Chen, SH., Rajagopalan, R. (eds) Micellar Solutions and Microemulsions. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8938-5_6
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DOI: https://doi.org/10.1007/978-1-4613-8938-5_6
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