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Tuning the Phase Diagram of Colloid–Polymer Mixtures

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Polymer-Mediated Phase Stability of Colloids

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Abstract

A theory that predicts the phase behaviour of interacting Yukawa spheres in a solution containing non-adsorbing polymer is presented. It is found that additional Yukawa interactions beyond the hard core affect the location and presence of coexistence regions and phase states. The theoretical phase diagrams are compared with Monte Carlo simulations. The agreement between the two approaches supports the validity of the theoretical approximations made and confirm that, by choosing the parameters of the interaction potentials, tuning of the binodals is possible. The colloidal gas–liquid critical end point (CEP) characterizes the phase diagram topology. It is demonstrated how an additional Yukawa interaction shifts this CEP with respect to the hard sphere case. Provided a certain depletant–to–colloid size ratio for which a stable colloidal gas–liquid phase coexistence takes place for hard spheres, added direct Yukawa interactions turn this into a metastable gas–liquid equilibrium. The opposite case, the induction of a stable gas–liquid coexistence where only fluid–solid was present for hard spheres, is also reported.

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References

  1. H.N.W. Lekkerkerker, R. Tuinier, Colloids and the Depletion Interaction (Springer, Heidelberg, 2011)

    Book  Google Scholar 

  2. M. Dijkstra, J.M. Brader, R. Evans, J. Phys.: Condens. Matter 11, 10079 (1999)

    ADS  Google Scholar 

  3. D.J. Ashton, N.B. Wilding, Phys. Rev. E, 2014, p. 031301. https://doi.org/10.1103/PhysRevE.89.031301

  4. M. Majka, P.F. Góra, Phys. Rev. E 90, 032303 (2014). https://doi.org/10.1103/PhysRevE.90.032303

  5. L. Rovigatti, N. Gnan, A. Parola, E. Zaccarelli, Soft Matter 11, 692 (2014). https://pubs.rsc.org/en/content/articlelanding/2015/sm/c4sm02218a/unauth#!divAbstract

  6. M. Dijkstra, R. van Roij, R. Roth, A. Fortini, Phys. Rev. E 73, 041404 (2006). https://journals.aps.org/pre/abstract/10.1103/PhysRevE.73.041404

  7. J. Jover, A. Galindo, G. Jackson, E.A. Müller, A.J. Haslam, Mol. Phys. 113, 2608 (2015). https://doi.org/10.1080/00268976.2015.1047425

  8. A. Santos, M. López de Haro, G. Fiumara, F. Saija, J. Chem. Phys. 142, 224903 (2015). https://doi.org/10.1063/1.4922031

  9. A. Fortini, M. Dijkstra, R. Tuinier, J. Phys.: Condens. Matter 17, 7783 (2005). http://stacks.iop.org/0953-8984/17/i=50/a=002

    Google Scholar 

  10. A.R. Denton, M. Schmidt, J. Chem. Phys. 122, 244911 (2005). https://doi.org/10.1063/1.1940055

  11. C. Gögelein, R. Tuinier, Eur. Phys. J. E 27, 171 (2008). https://doi.org/10.1140/epje/i2008-10367-6

  12. K. van Gruijthuijsen, R. Tuinier, J.M. Brader, A. Stradner, Soft Matter 9, 9977 (2013). https://doi.org/10.1039/c3sm51432c

  13. G. Pandav, V. Pryamitsyn, V. Ganesan, Langmuir 31, 12328 (2015). https://doi.org/10.1021/acs.langmuir.5b02885

  14. E. Dickinson, Food Hydrocoll. 52, 497 (2016). https://doi.org/10.1016/j.foodhyd.2015.07.029

  15. Y. Tang, B.C. Lu, J. Chem. Phys. 99, 9828 ( 1993). https://aip.scitation.org/doi/10.1063/1.465465

  16. A. Vrij, Pure Appl. Chem. 48, 471 (1976). https://doi.org/10.1351/pac197648040471

    Article  Google Scholar 

  17. H.N.W. Lekkerkerker, W.C.K. Poon, P.N. Pusey, A. Stroobants, P.B. Warren, Europhys. Lett. 20, 559 (1992). https://doi.org/10.1209/0295-5075/20/6/015

  18. W.G. Hoover, F.H. Ree, J. Chem. Phys. 49, 3609 ( 1968). https://aip.scitation.org/doi/10.1063/1.1670641

  19. C.F. Tejero, A. Daanoun, H.N.W. Lekkerkerker, M. Baus, Phys. Rev. Lett. 73, 752 (1994). https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.73.752

  20. C.P. Royall, M.E. Leunissen, A. van Blaaderen, J. Phys.: Condens. Matter 15, S3581 (2003). http://stacks.iop.org/0953-8984/15/i=48/a=017

  21. P. Uhlmann, H. Merlitz, J.-U. Sommer, M. Stamm, Macromol. Rapid Commun. 30, 732 (2009). https://doi.org/10.1002/marc.200900113

  22. F. Lo Verso, L. Yelash, S.A. Egorov, K. Binder, Soft Matter 8, 4185 (2012) https://doi.org/10.1039/c2sm06836b

  23. M.T. Dang, A.V. Verde, V.D. Nguyen, P.G. Bolhuis, P. Schall, J. Chem. Phys. 139, 094903 (2013). https://doi.org/10.1063/1.4819896

  24. R. Tuinier, G.J. Fleer, J. Phys. Chem. B 110, 20540 (2006). https://pubs.acs.org/doi/abs/10.1021/jp063650j

  25. G.J. Fleer, R. Tuinier, Adv. Colloid Interface Sci. 143, 1 (2008) https://doi.org/10.1016/j.cis.2008.07.001

  26. R. Tuinier, M.S. Feenstra, Langmuir 30, 13121 (2014). https://doi.org/10.1021/la5023856

  27. M. Dijkstra, Phys. Rev. E 66, 021402 (2002). https://doi.org/10.1103/PhysRevE.66.021402

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Correspondence to Álvaro González García .

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González García, Á. (2019). Tuning the Phase Diagram of Colloid–Polymer Mixtures. In: Polymer-Mediated Phase Stability of Colloids. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-33683-7_2

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