Abstract
Dynamic processes in dispersions of charged spherical particles are of importance both in fundamental science, and in technical and bio-medical applications. There exists a large variety of charged-particles systems, ranging from nanometer-sized electrolyte ions to micron-sized charge-stabilized colloids. We review recent advances in theoretical methods for the calculation of linear transport coefficients in concentrated particulate systems, with the focus on hydrodynamic interactions and electrokinetic effects. Considered transport properties are the dispersion viscosity, self- and collective diffusion coefficients, sedimentation coefficients, and electrophoretic mobilities and conductivities of ionic particle species in an external electric field. Advances by our group are also discussed, including a novel mode-coupling-theory method for conduction-diffusion and viscoelastic properties of strong electrolyte solutions. Furthermore, results are presented for dispersions of solvent-permeable particles, and particles with non-zero hydrodynamic surface slip. The concentration-dependent swelling of ionic microgels is discussed, as well as a far-reaching dynamic scaling behavior relating colloidal long- to short-time dynamics.
Similar content being viewed by others
References
J. Gapinski, A. Wilk, A. Patkowski, W. Häussler, A.J. Banchio, R. Pecora, G. Nägele, J. Chem. Phys. 123, 054708 (2005)
M. Heinen, F. Zanini, F. Roosen-Runge, D. Fedunova, F. Zhang, M. Hennig, T. Seydel, R. Schweins, M. Sztucki, M. Antalik, F. Schreiber, G. Nägele,Soft Matter 8, 1404 (2012)
F. Roosen-Runge, M. Hennig, F. Zhang, R.M.J. Jacobs, M. Sztucki, H. Schober, T. Seydel, F. Schreiber, Proc. Natl. Acad. Sci. U.S.A. 108, 11815 (2011)
C. Gögelein, G. Nägele, R. Tuinier, T. Gibaud, A. Stradner, P. Schurtenberger, J. Chem. Phys. 129, 085102 (2008)
S.U. Egelhaaf, V. Lobaskin, H.H. Bauer, H.P. Merkle, P. Schurtenberger, Eur. Phys. J. E 13, 153 (2004)
C. Gögelein, D. Wagner, F. Cardinaux, G. Nägele, S.U. Egelhaaf, J. Chem. Phys. 136, 015102 (2012)
M.E. Davis, J.D. Madura, J. Sines, B.A. Luty, S.A. Allison, J.A. Mccamon, Meth. Enzymol. 202, 473 (1991)
W. Nonner, D.P. Chen, B. Eisenberg, J. Gen. Physiol. 113, 773 (1999)
H.D.B. Jenkins, Y. Marcus, Chem. Rev. 95, 2695 (1995)
P.G. Wolynes, Annu. Rev. Phys. Chem. 31, 345 (1980)
J.M.G. Barthel, H. Krienke, W. Kunz, Physical Chemistry of Electrolyte Solutions, Vol. 5 of Topics in Physical Chemistry (Steinkopff, Darmstadt, 1998)
H. Falkenhagen, W. Ebeling, Theorie der Elektrolyte (S. Hirzel Verlag, Stuttgart, 1971)
G. Nägele, Colloidal hydrodynamics, In: Physics of Complex Colloids – Proceedings of International School of Physics Enrico Fermi, edited by C. Bechinger, F. Sciortino, P. Ziherl (IOS Amsterdam; SIF Bologna, 2013)
H. Ohshima, Theory of Colloid and Interfacial Electric Phenomena, Vol. 12 of Interface Science and Technology (Elsevier Academic Press, Amsterdam, 2006)
J.H. Masliyah, S. Bhattacharjee, Electrokinetic and Colloid Transport Phenomena (Johns Wiley & Sons, Hoboken, New Jersey, 2006)
M.Z. Bazant, M.S. Kilic, B.D. Storey, A. Ajdari, Adv. Colloid Interface Sci. 152, 48 (2009)
A.S. Khair, T.M. Squires, J. Fluid. Mech. 640, 343 (2009)
R. Roa, F. Carrique, E. Ruiz-Reina, Phys. Chem. Chem. Phys. 13, 19437 (2011)
J.J. Lopez-Garcia, M.J. Aranda-Rascon, C. Grosse, J. Horno, J. Colloid Interface Sci. 356, 325 (2011)
M. Lozada-Cassou, E. Gonzales-Tovar, W. Olivares, Phys. Rev. E 60, R17 (1999)
M. Lozada-Cassou, E. González-Tovar, J. Colloid Interface Sci. 239, 285 (2001)
M. Lozada-Cassou, E. González-Tovar, J. Colloid Interface Sci. 240, 644 (2001)
H. Manzanilla-Granados, F. Jimenez-Angeles, M. Lozada-Cassou, Colloids Surf. A 376, 59 (2011)
F. Carrique, F.J. Arroyo, A.V. Delgado, Colloids Surf. A 195, 157 (2001)
F. Carrique, J. Cuquejo, F.J. Arroyo, M.L. Jiménez, A.V. Delgado, Adv. Colloid Interface Sci. 118, 43 (2005)
C.P. Chiang, E. Lee, Y.Y. He, J.P. Hsu, J. Phys. Chem. B 110, 1490 (2006)
J.M. Ding, H.J. Keh, J. Colloid Interface Sci. 236, 180 (2001)
M.W. Kozak, E.J. Davis, J. Colloid Interface Sci. 127, 497 (1989)
M.W. Kozak, E.J. Davis, J. Colloid Interface Sci. 129, 166 (1989)
S. Levine, G.H. Neale, J. Colloid Interface Sci. 47, 520 (1974)
H. Ohshima, J. Colloid Interface Sci. 188, 481 (1997)
H. Ohshima, J. Colloid Interface Sci. 229, 140 (2000)
V.N. Shilov, N.I. Zharkikh, Y.B. Borkovskaya, Colloid J. – USSR 43, 434 (1981)
E.K. Zholkovskiy, J.H. Masliyah, V.N. Shilov, S. Bhattacharjee, Adv. Colloid Interface Sci. 134, 279 (2007)
E.K. Zholkovskiy, V.N. Shilov, J.H. Masliyah, M.P. Bondarenko, Can. J. Chem. Eng. 85, 701 (2007)
T. Vissers, A. Imhof, F. Carrique, A.V. Delgado, A. van Blaaderen, J. Colloid Interface Sci. 361, 443 (2011)
J.P. Hsu, E. Lee, F.Y. Yen, J. Chem. Phys. 112, 6404 (2000)
J.J. Lopez-Garcia, C. Grosse, J. Horno, J. Colloid Interface Sci. 301, 651 (2006)
S. Ahuali, M.L. Jiménez, F. Carrique, A.V. Delgado, Langmuir 25, 1986 (2009)
J. Ennis, L.R. White, J. Colloid Interface Sci. 185, 157 (1997)
J. Ennis, L.R. White, J. Colloid Interface Sci. 189, 382 (1997)
A.A. Shugai, S.L. Carnie, D.Y.C. Chan, J.L. Anderson, J. Colloid Interface Sci. 191, 357 (1997)
T. Palberg, T. Köller, B. Sieber, H. Schweinfurth, H. Reiber, G. Nägele, J. Phys.: Condens. Matter 24, 464109 (2012)
L. Onsager, R.M. Fuoss, J. Phys. Chem. – US 36, 2689 (1932)
L. Onsager, S.K. Kim, J. Phys. Chem. – US 61, 215 (1957)
L. Onsager, Ann. N.Y. Acad. Sci. 46, 241 (1945)
H. Falkenhagen, E.L. Vernon, Phil. Mag. S. 7 14, 537 (1932)
W. Ebeling, R. Feistel, G. Kelbg, R. Sandig, J. Non-Eq. Thermod. 3, 11 (1978)
D. Kremp, W. Ebeling, H. Krienke, R. Sändig, J. Stat. Phys. 33, 99 (1983)
O. Bernard, W. Kunz, P. Turq, L. Blum, J. Phys. Chem. – US 96, 3833 (1992)
S. Durand-Vidal, P. Turq, O. Bernard, C. Treiner, L. Blum, Physica A 231, 123 (1996)
S. Durand-Vidal, P. Turq, O. Bernard, J. Phys. Chem. – US 100, 17345 (1996)
J.F. Dufreche, O. Bernard, S. Durand-Vidal, P. Turq, J. Phys. Chem. B 109, 9873 (2005)
G.M. Roger, S. Durand-Vidal, O. Bernard, P. Turq, J. Phys. Chem. B 113, 8670 (2009)
L. Blum, J.S. Høye, J. Phys. Chem. 81, 1311 (1977)
K. Hiroike, Mol. Phys. 33, 1195 (1977)
O. Bernard, W. Kunz, P. Turq, L. Blum, J. Phys. Chem. – US 96, 398 (1992)
J.F. Dufreche, O. Bernard, and P. Turq, J. Chem. Phys. 116, 2085 (2002)
J.F. Dufreche, O. Bernard, P. Turq, J. Mol. Liq. 118, 189 (2005)
B.U. Felderhof, J. Chem. Phys. 118, 8114 (2003)
J.F. Dufreche, O. Bernard, M. Jardat, P. Turq, J. Chem. Phys. 118, 8116 (2003)
J.F. Dufreche, M. Jardat, P. Turq, B. Bagchi, J. Phys. Chem. B 112, 10264 (2008)
A. Chandra, B. Bagchi, J. Chem. Phys. 110, 10024 (1999)
A. Chandra, B. Bagchi, J. Phys. Chem. B 104, 9067 (2000)
A. Chandra, B. Bagchi, J. Chem. Phys. 113, 3226 (2000)
P. Attard, Phys. Rev. E 48, 3604 (1993)
C. Contreras-Aburto, G. Nägele, J. Chem. Phys. 139, 134109 (2013)
C. Contreras-Aburto, G. Nägele, J. Chem. Phys. 139, 134110 (2013)
C. Contreras-Aburto, G. Nägele, J. Phys.: Condens. Matter 24, 464108 (2012)
G. Nägele, J.K.G. Dhont, J. Chem. Phys. 108, 9566 (1998)
G. Nägele, J. Bergenholtz, J. Chem. Phys. 108, 9893 (1998)
G. Nägele, J. Bergenholtz, J.K.G. Dhont, J. Chem. Phys. 110, 7037 (1999)
D.G. Miller, J. Phys. Chem. – US 70, 2639 (1966)
D.J.P. Out, J.M. Los, J. Solution Chem. 9, 19 (1980)
M. Heinen, A.J. Banchio, G. Nägele, J. Chem. Phys. 135, 154504 (2011)
W. Bowen, A. Mongruel, Colloids Surf. A 138, 161 (1998)
Y.X. Yu, A.W. Tian, G.H. Gao, Phys. Chem. Chem. Phys. 7, 2423 (2005)
P. Prinsen, T. Odijk, J. Chem. Phys. 127, 115102 (2007)
M. Heinen, P. Holmqvist, A.J. Banchio, G. Nägele, J. Chem. Phys. 134, 044532 (2011)
M. Heinen, P. Holmqvist, A.J. Banchio, G. Nägele, J. Chem. Phys. 134, 129901 (2011)
A.L. Kholodenko, J.F. Douglas, Phys. Rev. E 51, 1081 (1995)
F. Nettesheim, M.W. Liberatore, T.K. Hodgdon, N.J. Wagner, E.W. Kaler, M. Vethamuthu, Langmuir 24, 7718 (2008)
A.K. Gaigalas, V. Reipa, J.B. Hubbard, J. Edwards, J. Douglas, Chem. Eng. Sci. 50, 1107 (1995)
D.E. Cohen, G.M. Thurston, R.A. Chamberlin, G.B. Benedek, M.C. Carey, Biochemistry 37, 14798 (1998)
D. Kleshchanok, M. Heinen, G. Nägele, P. Holmqvist, Soft Matter 8, 1584 (2012)
K. Kim, Y. Nakayama, R. Yamamoto, Phys. Rev. Lett. 96, 208302 (2006)
E. Yamamoto, Y. Nakayama, K. Kim, Int. J. Mod. Phys. C 20, 1457 (2009)
T. Araki, H. Tanaka, Europhys. Lett. 82, 18004 (2008)
G. Giupponi, I. Pagonabarraga, Phys. Rev. Lett. 106, 248304 (2011)
G.C. Abade, B. Cichocki, M.L. Ekiel-Jezewska, G. Nägele, E. Wajnryb, J. Chem. Phys. 132, 014503 (2010)
P. Reuland, B.U. Felderhof, R.B. Jones, Physica A 93, 465 (1978)
V. Lobaskin, B. Dünweg, C. Holm, J. Phys.: Condens. Matter 16, S4063 (2004)
V. Lobaskin, B. Dünweg, B. Medebach, T. Palberg, C. Holm, Phys. Rev. Lett. 98, 176105 (2007)
A. Chatterji, J. Horbach, J. Phys.: Condens. Matter 22, 494102 (2010)
R. Schmitz, B. Dünweg, J. Phys.: Condens. Matter 24, 464111 (2012)
B. Dünweg, V. Lobaskin, K. Seethalakshmy-Hariharan, C. Holm, J. Phys.: Condens. Matter 20, 404214 (2008)
M.G. McPhie, G. Nägele, J. Chem. Phys. 127, 034906 (2007)
M.G. McPhie, G. Nägele, J. Phys.-Condens. Mat. 16, S4021 (2004)
A.J. Banchio, G. Nägele, J. Chem. Phys. 128, 104903 (2008)
M. Heinen, P. Holmqvist, A.J. Banchio, G. Nägele, J. Appl. Cryst. 43, 970 (2010)
F. Westermeier, B. Fischer, W. Roseker, G. Grübel, G. Nägele, M. Heinen, J. Chem. Phys. 137, 114504 (2012)
A.J. Banchio, P. Holmqvist, M. Heinen, G. Nägele (submitted) (2013)
B. Cichocki, B.U. Felderhof, K. Hinsen, E. Wajnryb, J. Blawzdziewicz, J. Chem. Phys. 100, 3780 (1994)
G.C. Abade, B. Cichocki, M.L. Ekiel-Jezewska, G. Nägele, E. Wajnryb, J. Phys.: Condens. Matter 22, 322101 (2010)
G.C. Abade, B. Cichocki, M.L. Ekiel-Jezewska, G. Nägele, E. Wajnryb, J. Chem. Phys. 133, 084906 (2010)
G.C. Abade, B. Cichocki, M.L. Ekiel-Jezewska, G. Nägele, E. Wajnryb, J. Chem. Phys. 136, 104902 (2012)
H. Ohshima, Colloids Surf. A 347, 33 (2009)
K. Makuch, B. Cichocki, J. Chem. Phys. 137, 184902 (2012)
W.B. Russel, Ind. Eng. Chem. Res. 48, 2380 (2009)
P. Holmqvist, G. Nägele, Phys. Rev. Lett. 104, 058301 (2010)
P.N. Segrè, P.N. Pusey, Phys. Rev. Lett. 77, 771 (1996)
M. Fuchs, M.R. Mayr, Phys. Rev. E 60, 5742 (1999)
L.B. Lurio, D. Lumma, A.R. Sandy, M.A. Borthwick, P. Falus, S.G.J. Mochrie, J.F. Pelletier, M. Sutton, L. Regan, A. Malik, G.B. Stephenson, Phys. Rev. Lett. 84, 785 (2000)
V.A. Martinez, J.H.J. Thijssen, F. Zontone, W. van Megen, G. Bryant, J. Chem. Phys. 134, 054505 (2011)
P. Holmqvist, P.S. Mohanty, G. Nägele, P. Schurtenberger, M. Heinen, Phys. Rev. Lett. 109, 048302 (2012)
A.R. Denton, Phys. Rev. E 67, 011804 (2003)
C.N. Likos, Structure and Thermodynamics of Ionic Microgels, In: Microgel Suspensions: Fundamentals and Applications, chapter 7 (Wiley-VCH Verlag GmbH & Co. KGaA, 2011)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Nägele, G., Heinen, M., Banchio, A.J. et al. Electrokinetic and hydrodynamic properties of charged-particles systems. Eur. Phys. J. Spec. Top. 222, 2855–2872 (2013). https://doi.org/10.1140/epjst/e2013-02062-3
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjst/e2013-02062-3