Abstract
We present a critical assessment of the diffusing wave spectroscopy (DWS) technique for obtaining the characteristic lengths and for measuring the loss and storage moduli of a reasonable well-known wormlike micelle (WM) system. For this purpose, we tracked the Brownian motion of particles using DWS embedded in a Maxwellian fluid constituted by a wormlike micellar solution made of cetyltrimethylam-monium bromide (CTAB), sodium salicylate (NaSal), and water. We found that the motion of particles was governed by the viscosity of the solvent at short times and by the stress relaxation mechanisms of the giant micelles at longer times. From the time evolution of the mean square displacement of particles, we could obtain for the WM solution the cage size where each particle is harmonically bound at short times, the long-time diffusion coefficient, and experimental values for the exponent that accounts for the broad spectrum of relaxation times at the plateau onset time found in the 〈Δr 2(t)〉 vs. time curves. In addition, from the 〈Δr 2(t) vs. time curves, we obtained G′(ω) and G″(ω) for the WM solutions. All the DWS microreological information allowed us to estimate the characteristic lengths of the WM network. We compare our DWS microrheological results and characteristic lengths with those obtained with mechanical rheometers at different NaSal/CTAB concentration ratios and temperatures.
Similar content being viewed by others
References
W.J. Kim, S. Yang, Chem. Mater. 12, 3227 (2000).
S. Esrahi, E. Tuval, A. Aserin, Adv. Colloid Interface Sci. 77, 128 (2006).
J.F. Berret, Rheology of wormlike micelles: Equilibrium Properties and Shear Banding Transitions, in Molecular Gels. Materials with Self-Assembled Fibrillar Networks, edited by R.G. Weiss, P. Terech (Springer, The Netherlands, 2006) p. 663.
L.M. Walker, Curr. Opin. Colloid Interface Sci. 6, 451 (2001).
M.E. Cates, S.J. Candau, J. Phys.: Condens. Matter 2, 6869 (1990).
M.E. Cates, Macromolecules 20, 2289 (1987).
F.C. MacKintosh, C.F. Schmidt, Curr. Opin. Colloid Interface Sci. 4, 300 (1999).
T. Gisler, D.A. Weitz, Curr. Opin. Colloid Interface Sci. 3, 586 (1998).
A. Mukhopadhyay, S. Granick, Curr. Opin. Colloid Interface Sci. 6, 423 (2001).
D.T. Chen, E.R. Weeks, J.C. Crocker, M.F. Islam, R. Verna, J. Gruber, A.J. Levine, T.C. Lubensky, A.G. Yodh, Phys. Rev. Lett. 90, 108301 (2003).
G. Maret, P.E. Wolf, Z. Phys. B 65, 409 (1987).
D.J. Pine, D.A. Weitz, P.M. Chaikin, E. Herbolzheimer, Phys. Rev. Lett. 60, 1134 (1988).
J.L. Harden, V. Viasnoff, Curr. Opin. Colloid Interface Sci. 6, 438 (2001).
D.A. Weitz, D.J. Pine, in Dynamic Light Scattering, edited by W. Brown (Oxford University Press, New York, 1993), Chapt. 16, pp. 652–720.
J.H. van Zanten, K.P. Rufener, Phys. Rev. E 62, 5389 (2000).
F. Cardinaux, L. Cipelleti, F. Scheffold, P. Schurtenberger, Europhys. Lett. 57, 738 (2002).
M. Bellour, M. Skouri, J.-P. Munch, P. Hebraud, Eur. Phys. J. E 8, 431 (2002).
F. Scheffold, J. Dispersion, Sci. Technol. 23, 591 (2002).
T.G. Mason, D.A. Weitz, Phys. Rev. Lett. 74, 1250 (1995).
B.R. Dasgupta, S.Y. Tee, J.C. Crocker, B.J. Frisken, D.A. Weitz, Phys. Rev. E 65, 51505 (2002).
V. Viasnoff, F. Lequeux, D.J. Pine, Rev. Sci. Instrum. 73, 2336 (2002).
J. Galvan-Miyoshi, R. Castillo, to be published in Rev. Mex. Fis. (2008).
L.F. Rojas-Ochoa, D. Lacoste, R. Lenke, P. Schurtenberger, F. Scheffold, J. Opt. Soc. Am. A 21, 1799 (2004).
A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic Press, New York, 1978).
H.C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981).
G.K. Batchelor, J. Fluid Mech. 74, 1 (1976).
H. Azzouzi, J.P. Decruppe, S. Lerouge, O. Greffier, Eur. Phys. J. E 17, 507 (2005).
H. Rehage, H.J. Hoffmann, Phys. Chem. 92, 4712 (1988).
R. Gamez-Corrales, personal communication.
F. Kern, R. Zana, S.J. Candau, Langmuir 7, 1344 (1991).
P.G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, 1979).
W. Jiang, J. Huang, Y. Wang, M. Laradji, J. Chem. Phys. 126, 44901 (2007).
W.J. Briels, P. Mulder, W.K. den Otter, J. Phys: Condens. Matter 16, S3965 (2004).
M. Doi, S.F. Edwards, The Theory of Polymer Dynamics (Claredon, Oxford, 1986).
F. Nettesheim, N.J. Wagner, Langmuir 23, 5267 (2007).
T. Shikata, S.J. Dahman, D.S. Pearson, Langmuir 10, 3470 (1994).
N. Willenbacher, C. Oelschlaeger, M. Schopferer, P. Fischer, F. Cardinaux, F. Scheffold, Phys. Rev. Lett. 99, 68302 (2007).
R. Granek, M.E. Cates, J. Chem. Phys. 96, 4758 (1992).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Galvan-Miyoshi, J., Delgado, J. & Castillo, R. Diffusing wave spectroscopy in Maxwellian fluids. Eur. Phys. J. E 26, 369–377 (2008). https://doi.org/10.1140/epje/i2007-10335-8
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epje/i2007-10335-8