Simulation of nonlinear shear rheology of dilute salt-free polyelectrolyte solutions
J. Chem. Phys. 126, 124906 (2007); doi:10.1063/1.2712182
Published 26 March 2007
You are not logged in to this journal. Log in
Brownian dynamics simulations are used to conduct a systematic analysis of the nonlinear shear rheology of dilute polyelectrolyte solutions, exploring its relationship to shear rate, Bjerrum length, and concentration. A simple coarse-grained bead-spring chain model that incorporates explicit counterions is used. It is found that the polyelectrolyte chains exhibit a shear thinning behavior at high shear rate (as characterized by bead Peclet number Pe) that is independent of the electrostatic strength due to the stripping of ions from close proximity to the chain caused by the flow. In contrast, at low values of Pe, the viscosity increases monotonically with increasing Bjerrum length over the range studied here, in contrast to the nonmonotonic trend displayed by the chain size. Furthermore, at fixed Bjerrum length, the reduced viscosity increases monotonically with concentration. The mechanism underlying these observations is essentially the primary electroviscous effect; the ion cloud surrounding a polyelectrolyte chain deforms in flow, causing a significant increase in viscosity as concentration increases. Finally, the authors have also considered the role of hydrodynamic interactions in these simulations, finding that for low concentration studies in shear flow, these do not qualitatively affect the results.
©2007 American Institute of Physics
| History: | Received 16 May 2006; accepted 2 February 2007; published 26 March 2007 |
| Permalink: |
http://link.aip.org/link/?JCPSA6/126/124906/1 |
REFERENCES (76)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- P. G. de Gennes, P. Pincus, R. M. Velasco, and F. Brochard,
J. Phys. (Paris) 37, 1461 (1976) . - P. Pfeuty, J. Phys. Colloq. 39, C2 (1978).
- M. Rubinstein, R. H. Colby, and A. V. Dobrynin, Phys. Rev. Lett. 73, 2776 (1994).
- A. V. Dobrynin, R. H. Colby, and M. Rubinstein,
Macromolecules 28, 1859 (1995) . - D. C. Boris and R. H. Colby,
Macromolecules 31, 5746 (1998) . - M. Drifford and J. Dalbiez,
J. Phys. Chem. 88, 5368 (1984) . - R. Krause, E. E. Maier, M. Deggelmann, M. Hagenbuchle, S. F. Schulz, and R. Weber,
Physica A 160, 135 (1989) . - C. Johner, H. Kramer, S. Batzill, C. Graf, M. Hagenbuchle, C. Martin, and R. Weber,
J. Phys. II 4, 1571 (1994) . - K. Kaji, H. Urakawa, T. Kanaya, and R. Kitamaru,
Macromolecules 17, 1835 (1984) . - M. Nierlich, C. F. Williams, and F. Boue,
J. Phys. (Paris) 40, 701 (1979) . - C. E. Williams, M. Nierlich, and J. P. Cotton,
J. Polym. Sci. 17, 379 (1979) . - M. Nierlich, F. Boue, A. Lapp, and R. Oberthur,
J. Phys. (Paris) 46, 649 (1985) . - M. Nierlich, F. Boue, A. Lapp, and R. Oberthur, Colloid Polym. Sci. 12, 955 (1985).
- Y. Takahashi, N. Matsumoto, S. Iio, H. Kondo, I. Noda, M. Imai, and Y. Matsushita,
Langmuir 15, 4120 (1999) . - M. Beer, M. Schmidt, and M. Muthukumar,
Macromolecules 30, 8375 (1997) . - N. Borochov and H. Eisenberg,
Macromolecules 27, 1440 (1994) . - L. Wang and H. Yu,
Macromolecules 21, 3498 (1988) . - S. L. Carnie, G. A. Christos, and T. P. Creamer, J. Chem. Phys. 89, 6484 (1988).
- G. A. Christos and S. L. Carnie, J. Chem. Phys. 91, 439 (1989).
- G. A. Christos and S. L. Carnie, J. Chem. Phys. 92, 7661 (1990).
- G. A. Christos and S. L. Carnie,
Chem. Phys. Lett. 172, 249 (1990) . - G. A. Christos, S. L. Carnie, and T. P. Creamer,
Macromolecules 25, 1121 (1992) . - R. A. Robinson and R. H. Stokes, Electrolyte Solutions (Butterworths, London, 1955).
- M. J. Stevens and K. Kremer,
J. Phys. II 6, 1607 (1996) . - M. J. Stevens and K. Kremer, J. Chem. Phys. 103, 1669 (1995).
- R. Chang and A. Yethiraj, J. Chem. Phys. 116, 5284 (2002).
- S. Liu and M. Muthukumar, J. Chem. Phys. 116, 9975 (2002).
- R. G. Winkler, M. Gold, and P. Reineker, Phys. Rev. Lett. 80, 3731 (1998).
- J. C. Chu and C. H. Mak, J. Chem. Phys. 110, 2669 (1999).
- E. Dubois and F. Boué,
Macromolecules 34, 3684 (2001) . - M. J. Stevens,
Biophys. J. 80, 130 (2001) . - R. Chang and A. Yethiraj, J. Chem. Phys. 118, 6634 (2003).
- R. Fuoss,
J. Polym. Sci. 3, 603 (1948) . - H. Eisenberg and J. Pouyet,
J. Polym. Sci. 13, 85 (1954) . - J. Cohen, Z. Priel, and Y. Rabin, J. Chem. Phys. 88, 7111 (1988).
- M. Antonietti, A. Briel, and S. Förster, J. Chem. Phys. 105, 7795 (1996).
- Y. Rabin, J. Cohen, and Z. Priel, J. Polym. Sci., Part C: Polym. Lett. 26, 397 (1988).
- S. Förster and M. Schmidt,
Adv. Polym. Sci. 120, 51 (1995) . - J. L. Barrat and J. F. Joanny, Adv. Chem. Phys. XCIV, 1 (1996).
- R. F. Fernandez Prini and A. E. Lagos,
J. Polym. Sci., Part A: Gen. Pap. 2, 2917 (1964) . - L. Jiang, D. H. Yang, and S. B. Chen,
Macromolecules 34, 3730 (2001) . - I. Roure, M. Rinaudo, and M. Milas, Phys. Chem. Chem. Phys. 100, 703 (1996).
- J. L. M. S. Ganter, M. Milas, and M. Rinaudo,
Polymer 33, 113 (1992) . - L. Jiang and S. B. Chen,
J. Non-Newtonian Fluid Mech. 96, 445 (2001) . - N. Imai and K. Gekko,
Biophys. Chem. 41, 31 (1991) . - C. Chen and S. Allison,
Macromolecules 34, 8397 (2001) . - T. Zhou and S. B. Chen, J. Chem. Phys. 124, 034904 (2006).
- A. L. Horvath, Handbook of Aqueous Electrolyte Solutions (Ellis Horwood, West Sussex, England, 1985).
- G. S. Manning, J. Chem. Phys. 51, 924 (1969).
- M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Clarendon, Oxford, 1987).
- J. Rotne and S. Prager, J. Chem. Phys. 50, 4831 (1969).
- C. W. J. Beenakker, J. Chem. Phys. 85, 1581 (1986).
- E. R. Smith, I. K. Snook, and W. van Megen, Physica (The Hague) 143, 441 (1987).
- J. F. Brady, R. J. Phillips, J. C. Lester, and G. Bossis,
J. Fluid Mech. 195, 257 (1988) . - C. G. Stoltz, J. J. de Pablo, and M. D. Graham,
J. Rheol. 50, 137 (2006) . - R. M. Jendrejack, M. D. Graham, and J. J. de Pablo, J. Chem. Phys. 113, 2894 (2000).
- A. W. Lees and S. F. Edwards,
J. Phys. C 5, 1921 (1972) . - M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Clarendon, Oxford, 1986).
- H. Schiessel and P. Pincus,
Macromolecules 31, 7953 (1998) . - R. Chang and A. Yethiraj, J. Chem. Phys. 118, 11315 (2003).
- M. Muthukumar, J. Chem. Phys. 120, 9343 (2004).
- C. Hsieh, L. Li, and R. G. Larson,
J. Non-Newtonian Fluid Mech. 113, 147 (2003) . - D. Petera and M. Muthukumar, J. Chem. Phys. 111, 7614 (1999).
- P. Sunthar and J. R. Prakash,
Macromolecules 32, 617 (2005) . - P. Grassia and E. J. Hinch,
J. Fluid Mech. 308, 255 (1996) . - C. M. Schroeder, E. S. G. Shaqfeh, and S. Chu,
Macromolecules 37, 9242 (2004) . - S. Liu, B. Ashok, and M. Muthukumar,
Polymer 45, 1383 (2004) . - J. G. Hernandez-Cifre and J. G. de la Torre,
J. Rheol. 43, 339 (1999) . - I. M. Neelov, D. B. Adolf, A. V. Lyulin, and G. R. Davies, J. Chem. Phys. 117, 4030 (2002).
- U. S. Agarwal, R. Bhargava, and R. A. Mashelkar, J. Chem. Phys. 108, 1610 (1998).
- U. S. Agarwal, J. Chem. Phys. 113, 3397 (2000).
- B. Dünweg and K. Kremer, Phys. Rev. Lett. 66, 2996 (1991).
- B. Dünweg and K. Kremer, J. Chem. Phys. 99, 6983 (1993).
- J. Koelman and P. Hoogerbrugge,
Europhys. Lett. 19, 155 (1992) . - B. Dünweg, M. Stevens, and K. Kremer in Monte Carlo and Molecular Dynamics Simulations in Polymer Science, edited by K. Binder (Oxford University Press, New York, 1995).
- C. Clasen, J. P. Plog, W.-M. Kulicke, J. Rheol. 50(6), 849 (2006).








