### 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 xi in the protein limit (q>1). We obtain predictions that fully agree with observations and simulations. In the protein limit the colloid concentrations eta along the binodals become independent of q and the polymer concentrations phi scale as q(1/gamma), where gamma=0.77 is the scaling exponent in xi similar to phi(-gamma): phase diagrams plotted as phi q(-1/gamma) vs eta are then independent of q. The liquid window in the protein limit is narrow.

Original language | English |
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Pages (from-to) | 041802/1-04180/4 |

Journal | Physical Review. E, Statistical nonlinear, and soft matter physics |

Volume | 76 |

DOIs | |

Publication status | Published - 2007 |

### Keywords

- critical end-point
- depletion interactions
- density-fluctuations
- protein limit
- hard-spheres
- behavior
- model
- suspensions
- separation
- thickness

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## Cite this

Fleer, G. J., & Tuinier, R. (2007). Analytical phase diagram for colloid-polymer mixtures.

*Physical Review. E, Statistical nonlinear, and soft matter physics*,*76*, 041802/1-04180/4. https://doi.org/10.1103/PhysRevE.76.041802