An exactly solvable model for a colloid–polymer mixture in one-dimension

J.M. Brader and R. Evans

Physica A: Statistical Mechanics and its Applications, 2002, vol. 306, issue C, 287-300

Abstract: We consider the equilibrium properties of a simple one-dimensional model for a colloid–polymer mixture in which the colloids are modelled by hard rods and the polymers are treated as ideal particles excluded from the colloids by a certain distance. By mapping the binary mixture to an effective one-component Hamiltonian the model can be solved exactly for size ratios σp/σc≡q<1, where σc and σp are the lengths of colloid and polymer rods, respectively. We compare exact results for the osmotic pressure and free-volume fraction with those of the free-volume approximation, developed in the study of model colloid–polymer mixtures in three dimensions, in order to establish where that approximation is accurate and where it breaks down.

Keywords: Depletion interaction; Colloid–polymer mixtures; Effective Hamiltonians; Free-volume approximation; Hard rods (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:306:y:2002:i:c:p:287-300

DOI: 10.1016/S0378-4371(02)00506-X

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