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Depletion interaction between colloids mediated by an athermal polymer blend

A. I. Chervanyov*

  • Institute of Theoretical Physics, Westfälische Wilhelms-Universität Münster, 48149 Muenster, Germany

  • *chervany@uni-muenster.de

Phys. Rev. E 97, 032508 – Published 29 March, 2018

DOI: https://doi.org/10.1103/PhysRevE.97.032508

Abstract

We calculate the immersion energy of a colloid and the potential of the depletion interaction (DI) acting between colloids immersed in an athermal polymer blend. The developed theory has no limitations with respect to the polymer-to-colloid size ratios and polymer densities, covering, in particular, dense polymer blends. We demonstrate that in addition to the standard compressibility-induced mechanism of the DI there exists the mechanism relying on the correlations between compositional fluctuations specific to polymer blends. We quantitatively investigate this “compositional” mechanism of the DI and demonstrate that it causes significant contributions to the effective force acting between colloids. Further we show that relative significance of the contributions to the colloid immersion energy and the depletion potential caused by the above compositional mechanism strongly depends on the mass fractions of the polymer species and their size ratio. We find out that these contributions strongly affect the range of the DI, thus causing a significant increase in the absolute value of the second virial coefficient of the effective potential acting between colloids.

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References (36)

  1. W. B. Russel, D. A. Saville, and W. R. Schowalter, Colloidal Dispersions (Cambridge University Press, New York, 1986).
  2. A. P. Chatterjee and K. S. Schweizer, J. Chem. Phys. 109, 10464 (1998).
  3. E. Eisenriegler, J. Chem. Phys. 113, 5091 (2000).
  4. A. I. Chervanyov, Soft Matter 11, 1038 (2015).
  5. A. I. Chervanyov, Phys. Rev. E 83, 061801 (2011).
  6. A. I. Chervanyov, J. Chem. Phys. 141, 244902 (2014).
  7. A. I. Chervanyov, J. Chem. Phys. 145, 244905 (2016).
  8. A. I. Chervanyov and G. Heinrich, Phys. Rev. E 86, 031801 (2012).
  9. R. Verma, J. C. Crocker, T. C. Lubensky, and A. G. Yodh, Phys. Rev. Lett. 81, 4004 (1998).
  10. G. J. Fleer, A. M. Skvortsov, and R. Tuinier, Macromolecules 36, 7857 (2003).
  11. A. I. Chervanyov and G. Heinrich, Pol. Compos. 34, 187 (2013).
  12. A. I. Chervanyov and G. Heinrich, Physica B 421, 117 (2013).
  13. A. I. Chervanyov and G. Heinrich, Soft Mater. 12, S90 (2014).
  14. T. A. Vilgis, G. Heinrich, and M. Kluppel, Reinforcement of Polymer Nano-Composites: Theory, Experiments and Applications (Cambridge University Press, Cambridge, England, 2009).
  15. J. Fritzsche and M. Klueppel, J. Phys.: Condens. Matter 23, 035104 (2011).
  16. N. T. Selvan, S. B. Eshwaran, A. Das, K. W. Stoeckelhuber, S. Wiessner, P. Poetschke, G. B. Nando, A. I. Chervanyov, and G. Heinrich, Sens. Actuat. A: Phys. 239, 102 (2016).
  17. F. F. Semeriyanov, A. I. Chervanyov, R. Jurk, K. Subramaniam, S. Koenig, M. Roscher, A. Das, K. W. Stoeckelhuber, and G. Heinrich, J. Appl. Phys. 113, 103706 (2013).
  18. J. Janzen and D. E. Brooks, Clin. Hemorheol. 9, 695 (1989).
  19. J. Y. Lee, G. A. Buxton, and A. C. Balazs, J. Chem. Phys. 121, 5531 (2004).
  20. Z. Suo, J. H. Prevost, and J. Liang, J. Mech. Phys. Solids 51, 2169 (2003).
  21. K. S. Schweizer and J. G. Curro, Adv. Polym. Sci. 116, 319 (1995).
  22. J.-P. Hansen and I. R. McDonald, Theory of Simple Liquids (Academic Press, London, 2006).
  23. J. L. Lebowitz and J. K. Percus, Phys. Rev. 144, 251 (1966).
  24. M. Fuchs and K. S. Schweizer, Europhys. Lett. 51, 621 (2000).
  25. M. Fuchs and K. S. Schweizer, J. Phys.: Condens. Matter 14, 239 (2002).
  26. M. Fuchs and K. S. Schweizer, Phys. Rev. E 64, 021514 (2001).
  27. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Clarendon Press, Oxford, 1986).
  28. K. S. Schweizer and J. G. Curro, Macromolecules 23, 1402 (1990).
  29. S. Asakura and F. Oosawa, J. Polym. Sci. 33, 183 (1958).
  30. S. Asakura and F. Oosawa, J. Chem. Phys. 22, 1255 (1954).
  31. K. Binder, P. Virnau, and A. Statt, J. Chem. Phys. 141, 140901 (2014).
  32. K. J. Mutch, J. S. van Duijneveldt, and J. Eastoe, Soft Matter 3, 155 (2007).
  33. R. Tuinier, J. Rieger, and C. G. de Kruif, Adv. Colloid Interface Sci. 103, 1 (2003).
  34. P.-G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, 1979).
  35. A. I. Chervanyov, J. Chem. Phys. 131, 234907 (2009).
  36. P. W. Warren, Langmuir 13, 4588 (1997).

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