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

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  • Brader, J.M.
  • Evans, R.

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.

Suggested Citation

  • Brader, J.M. & Evans, R., 2002. "An exactly solvable model for a colloid–polymer mixture in one-dimension," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 306(C), pages 287-300.
    • Handle: RePEc:eee:phsmap:v:306:y:2002:i:c:p:287-300
    DOI: 10.1016/S0378-4371(02)00506-X
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