Skip to main content
SpringerLink
Log in

Brownian motion of optically anisotropic spherical particles in polymeric suspensions

  • Regular Article
  • Published:
The European Physical Journal E Aims and scope Submit manuscript

Abstract.

We studied the rotational and translational diffusion of optically anisotropic liquid crystal particles embedded in semidiluted polymer solutions of Poly-Ethylene-Oxide (PEO) at different concentrations and different molecular weights. The polymer radius of gyration was chosen to be similar to the size of the probe particles and the polymer concentrations used are just above the crossover concentration. Thus, the system consists of solid probe particles moving in a sea of overlapping particles of similar size. We found that the behavior of both particle dynamics, rotational and translational, is similar in the range of concentrations considered here. In both cases, two linear diffusive regimes are observed, separated by a subdiffusive time interval. The spatial scale at which this intermediate regime appears shows a dependence on both the polymer concentration and molecular weight, and has a value similar to the thickness of the polymer-depleted layer usually found in this kind of systems. Additionally, we observe that the colloidal dynamic scales with the overlapping degree of the polymer particles.

Graphical abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. B. Lu, A.R. Denton, J. Phys.: Condens. Matter 23, 285102 (2011)

    Google Scholar 

  2. A. Vrij, Pure Appl. Chem. 48, 471 (1976)

    Article  Google Scholar 

  3. M. Schmidt, H. Löwen, J.M. Brader, R. Evans, J. Phys.: Condens. Matter 14, 9353 (2002)

    ADS  Google Scholar 

  4. P.G. Bolhuis, A.A. Louis, J.-P. Hansen, Phys. Rev. Lett. 89, 128302 (2002)

    Article  ADS  Google Scholar 

  5. A.P. Gast, C.K. Hall, W.B. Russel, J. Colloid Interface Sci. 96, 251 (1983)

    Article  Google Scholar 

  6. H.N.W. Lekkerkerker, W.C.-K. Poon, P.N. Pusey, A. Stroobants, P.B. Watter, Europhys. Lett. 20, 559 (1992)

    Article  ADS  Google Scholar 

  7. D. H. Napper, Polymeric Stabilization of Colloidal Dispersions (Academic Press, London, 1983)

  8. B.L. Carvalho, P. Tong, J.S. Huang, T.A. Witten, L.J. Fetters, Macromolecules 26, 4632 (1993)

    Article  ADS  Google Scholar 

  9. A.P. Gast, C.K. Hall, W.B. Russel, J. Colloid Interface Sci. 96, 251 (1983)

    Article  Google Scholar 

  10. A. Fortini, P.G. Bolhuis, M. Dijkstra, J. Chem. Phys. 128, 024904 (2008)

    Article  ADS  Google Scholar 

  11. J.H. van Zanten, S. Amin, A.A. Abdala, Macromolecules 37, 3874 (2004)

    Article  ADS  Google Scholar 

  12. K.N. Pham, S.U. Egelhaaf, P.N. Pusey, W.C.K. Poon, Phys. Rev. E 69, 011503 (2004)

    Article  ADS  Google Scholar 

  13. E.C. Cooper, P. Johnson, A.M. Donald, Polymer 32, 2815 (1991)

    Article  Google Scholar 

  14. K. Devanand, J.C. Selser, Macromolecules 24, 5943 (1991)

    Article  ADS  Google Scholar 

  15. M.R. Kuzma, W. Wedler, A. Saupe, S. Shin, S. Kumar, Phys. Rev. Lett. 68, 3436 (1992)

    Article  ADS  Google Scholar 

  16. A. Mertelj, J.L. Arauz-Lara, G. Maret, T. Gisler, H. Stark, Europhys. Lett. 59, 337 (2002)

    Article  ADS  Google Scholar 

  17. P. Díaz-Leyva, E. Pérez, J.L. Arauz-Lara, J. Chem. Phys. 121, 9103 (2004)

    Article  ADS  Google Scholar 

  18. B.J. Berne, R. Pecora, Dynamic Light Scattering: With Applications to Chemistry, Biology and Physics (John Wiley, New York, 1976).

  19. E. Andablo-Reyes, P. Díaz-Leyva, J.L. Arauz-Lara, Phys. Rev. Lett. 94, 106001 (2005)

    Article  ADS  Google Scholar 

  20. C. Haro-Pérez, E. Andablo-Reyes, P. Díaz-Leyva, J.L. Arauz-Lara, Phys. Rev. E 75, 041505 (2007)

    Article  ADS  Google Scholar 

  21. T.G. Mason, K. Ganesan, D. Wirtz, J.H. van Zanten, S.C. Kuo, Phys. Rev. Lett. 79, 3282 (1997)

    Article  ADS  Google Scholar 

  22. C. Tisserand, M. Fleury, L. Brunel, P. Bru, Gérard Meunier, Progr. Colloid Polym. Sci. 139, 101 (2012)

    Google Scholar 

  23. Q. Lu, M.J. Solomon, Phys. Rev. E 66, 061504 (2002)

    Article  ADS  Google Scholar 

  24. T. Gisler, D.A. Weitz, Phys. Rev. Lett. 82, 1606 (1999)

    Article  ADS  Google Scholar 

  25. J.Y. Huh, E.M. Furst, Phys. Rev. E 74, 031802 (2006)

    Article  ADS  Google Scholar 

  26. M. Tassieri, R.M.L. Evans, L. Barbu-Tudoran, G.N. Khaname, J. Trinick, T.A. Waigh, Phys. Rev. Lett. 101, 198301 (2008)

    Article  ADS  Google Scholar 

  27. B.R. Dasgupta, S-You Tee, J.C. Crocker, B.J. Frisken, D.A. Weitz, Phys. Rev. E 65, 051505 (2002)

    Article  ADS  Google Scholar 

  28. A.M. Corrigan, A.M. Donald, Eur. Phys. J. E 28, 457 (2009)

    Article  Google Scholar 

  29. V. Pelletier, N. Gal, P. Fournier, M.L. Kilfoil, Phys. Rev. Lett. 102, 188303 (2009)

    Article  ADS  Google Scholar 

  30. F.K. Oppong, J.R. de Bruyn, Eur. Phys. J. E 31, 25 (2010)

    Article  Google Scholar 

  31. B.R. Dasgupta, D.A. Weitz, Phys. Rev. E 71, 021504 (2005)

    Article  ADS  Google Scholar 

  32. F.K. Oppong, L. Rubatat, B.J. Frisken, A.E. Bailey, J.R. de Bruyn, Phys. Rev. E 73, 041405 (2006)

    Article  ADS  Google Scholar 

  33. E. Helfer, S. Harlepp, L. Bourdieu, J. Robert, F.C. MacKintosh, D. Chatenay, Phys. Rev. E 85, 457 (2000)

    ADS  Google Scholar 

  34. A.W.C. Lau, B.D. Hoffman, A. Davies, J.C. Crocker, T.C. Lubensky, Phys. Rev. Lett. 91, 198101 (2003)

    Article  ADS  Google Scholar 

  35. J. Liu, M.L. Gardel, K. Kroy, E. Frey, B.D. Hoffman, J.C. Crocker, A.R. Bausch, D.A. Weitz, Phys. Rev. Lett. 96, 118104 (2006)

    Article  ADS  Google Scholar 

  36. S. Rathgeber, H-J Beauvisage, H. Chevreau, N. Willenbacher, C. Oelschlaeger, Langmuir 25, 6368 (2009)

    Article  Google Scholar 

  37. M. Doi, S.F. Edwards, The theory of polymer dynamics (Oxford Science Publications, New York, 1986)

  38. D.T. Chen, E.R. Weeks, J.C. Crocker, M.F. Islam, R. Verma, J. Gruber, A.J. Levine, T.C. Lubensky, A.G. Yodh, Phys. Rev. Lett. 90, 108301 (2003)

    Article  ADS  Google Scholar 

  39. J.C. Crocker, M.T. Valentine, E.R. Weeks, T. Gisler, P.D. Kaplan, A.G. Yodh, D.A. Weitz, Phys. Rev. Lett. 85, 888 (2000)

    Article  ADS  Google Scholar 

  40. V. Prasad, S.A. Koehler, Eric R. Weeks, Phys. Rev. Lett. 97, 176001 (2006)

    Article  ADS  Google Scholar 

  41. M.L. Gardel, M.T. Valentine, J.C. Crocker, A.R. Bausch, D.A. Weitz, Phys. Rev. Lett. 91, 198191 (2003)

    Article  Google Scholar 

  42. M. Atakhorrami, J.I. Sulkowska, K.M. Addas, G.H. Koenderink, J.X. Tang, A.J. Levine, F.C. MacKintosh, C.F. Schmidt, Phys. Rev. E 73, 061501 (2006)

    Article  ADS  Google Scholar 

  43. A.J. Levine, T.C. Lubensky, Phys. Rev. Lett. 85, 1774 (2000)

    Article  ADS  Google Scholar 

  44. A.J. Levine, T.C. Lubensky, Phys. Rev. E 65, 011501 (2001)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Instituto de Física “Manuel Sandoval Vallarta”, Universidad Autónoma de San Luis Potosí, Álvaro Obregón 64, 78000, San Luis Potosí, SLP, México

    M. J. Sánchez-Miranda, E. Sarmiento-Gómez & J. L. Arauz-Lara

Authors
  1. M. J. Sánchez-Miranda
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. Sarmiento-Gómez
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. L. Arauz-Lara
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. Sarmiento-Gómez.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sánchez-Miranda, M.J., Sarmiento-Gómez, E. & Arauz-Lara, J.L. Brownian motion of optically anisotropic spherical particles in polymeric suspensions. Eur. Phys. J. E 38, 3 (2015). https://doi.org/10.1140/epje/i2015-15003-x

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epje/i2015-15003-x

Keywords

Search

Navigation