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Analytical phase diagram for colloid-polymer mixtures

Gerard J. Fleer1 and Remco Tuinier2

  • 1Laboratory of Physical Chemistry and Colloid Science, Wageningen University, 6703 HB Wageningen, The Netherlands
  • 2Forschungszentrum Jülich, Institut für Festkörperforschung, 52425 Jülich, Germany

Phys. Rev. E 76, 041802 – Published 9 October, 2007

DOI: https://doi.org/10.1103/PhysRevE.76.041802

Abstract

We present a theoretical analysis of the phase behavior of colloid-polymer mixtures which applies to all polymer/colloid size ratios q. It accounts for the crossover from a constant length scale R (radius of gyration) in the colloid limit (small q) to the concentration-dependent correlation length ξ in the protein limit (q>1). We obtain predictions that fully agree with observations and simulations. In the protein limit the colloid concentrations η along the binodals become independent of q and the polymer concentrations φ scale as q1γ, where γ=0.77 is the scaling exponent in ξφγ: phase diagrams plotted as φq1γ vs η are then independent of q. The liquid window in the protein limit is narrow.

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