The extended law of corresponding states when attractions meet repulsions

K. Van Gruijthuijsen, M. Obiols-Rabasa, P. Schurtenberger, W. G. Bouwman, A. Stradner

Research output: Contribution to journalArticlepeer-review


Short-range attractive colloids show well-defined phase behaviour in the absence of repulsions, and highly intriguing equilibrium gelation in the presence of long-range repulsions. We present the state diagram of short-range attractive colloids with repulsions that range from fully screened to intermediately ranged, i.e. longer-ranged than the attractions, but shorter ranged than the colloid size. We demonstrate that although the macroscopic phase behaviour does not change perceptibly, there is a dramatic increase of inhomogeneities once the repulsions become longer-ranged than the attractions. The interaction potentials are characterized with small angle neutron scattering, and used to renormalize the state diagram with the minimum in the interaction potential, min[U(r)], and with the reduced second virial coefficient, B2∗. We find that the extended law of corresponding states captures the onset of phase separation for shorter ranged repulsions, but fails for longer ranged repulsions. Instead, for a given model of U(r), the transition from visually homogeneous fluid to phase separation and/or gelation can be rescaled with min[U(r)] over the full range of repulsions. Finally, we suggest a generic state diagram to describe the effect of repulsions on short-range attractive systems.

Original languageEnglish
Pages (from-to)3704-3715
Number of pages12
JournalSoft Matter
Issue number19
Publication statusPublished - 2018 Jan 1

Subject classification (UKÄ)

  • Physical Chemistry


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