Abstract
A mesoscopic colloid model is developed in which a spherical colloid is represented by many interacting sites on its surface. The hydrodynamic interactions with thermal fluctuations are taken accounts in full using Dissipative Particle Dynamics, and the electrostatic interactions are simulated using Particle–Particle–Particle Mesh method. This new model is applied to investigate the electrophoretic mobility of a charged colloid under an external electric field, and the influence of salt concentration and colloid charge are systematically studied. The simulation results show good agreement with predictions from the electrokinetic theory.
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References
W.B. Russel, D.A. Saville, W. Schowalter, Colloidal Dispersions (Cambridge University Press, Cambridge, 1989)
J. Dhont, An Introduction to Dynamics of Colloids (Elsevier, Amsterdam, 1996)
P. Ahlrichs, B. Dünweg, J. Chem. Phys. 111, 8225 (1999)
K. Grass, U. Böhme, U. Scheler, H. Cottet, C. Holm, Phys. Rev. Lett. 100, 096104 (2008)
K. Grass, C. Holm, Soft Matter 5, 2079 (2009)
K. Grass, C. Holm, Faraday Discuss. 144, 57 (2010)
V. Lobaskin, B. Dünweg, New J. Phys. 6, 54 (2004)
V. Lobaskin, B. Dünweg, C. Holm, J. Phys. Condens. Matter 16, S4063 (2004)
V. Lobaskin, B. Dünweg, M. Medebach, T. Palberg, C. Holm, Phys. Rev. Lett. 98, 176105 (2007)
A. Chatterji, J. Horbach, J. Chem. Phys. 122, 184903 (2005)
A. Chatterji, J. Horbach, J. Chem. Phys. 126, 064907 (2007)
G. Giupponi, I. Pagonabarraga, Phys. Rev. Lett. 106, 248304 (2011)
H. Tanaka, T. Araki, Phys. Rev. Lett. 85, 1338 (2000)
Y. Nakayama, R. Yamamoto, Phys. Rev. E 71, 036707 (2005)
K. Kim, Y. Nakayama, R. Yamamoto, Phys. Rev. Lett. 96, 208302 (2006)
Y. Nakayama, K. Kim, R. Yamamoto, Eur. Phys. J. E 26, 361 (2008)
A. Malevanets, R. Kapral, J. Chem. Phys. 110, 8605 (1999)
G. Gompper, T. Ihle, D.M. Kroll, R.G. Winkler, Adv. Polym. Sci. 221, 1 (2009)
P.J. Hoogerbrugge, J.M.V.A. Koelman, Europhys. Lett. 19, 155 (1992)
J.M.V.A. Koelman, P.J. Hoogerbrugge, Europhys. Lett. 21, 363 (1993)
P. Español, P.B. Warren, Europhys. Lett. 30, 191 (1995)
R.D. Groot, P.B. Warren, J. Chem. Phys. 107, 4423 (1997)
J. Smiatek, M. Sega, C. Holm, U.D. Schiller, F. Schmid, J. Chem. Phys. 130, 244702 (2009)
H. Limbach, A. Arnold, B. Mann, C. Holm, Comput. Phys. Commun. 174, 704 (2006)
J. Smiatek, M. Allen, F. Schmid, Eur. Phys. J. E 26, 115 (2008)
J.D. Weeks, D. Chandler, H.C. Andersen, J. Chem. Phys. 54, 5237 (1971)
R. Hockney, J. Eastwood, Computer Simulation Using Particles (Adam Hilger, Bristol, 1988)
M. Deserno, C. Holm, J. Chem. Phys. 109, 7678 (1998)
M. Deserno, C. Holm, J. Chem. Phys. 109, 7694 (1998)
M.R. Wright, An Introduction to Aqueous Electrolyte Solutions (Wiley, Chichester, 2007)
G. Subramanian, H. Davis, Phys. Rev. A 11, 1430 (1975)
J. Hynes, Annu. Rev. Phys. Chem. 28, 301 (1977)
J.T. Padding, A. Wysocki, H. Löwen, A.A. Louis, J. Phys. Condens. Matter 17, S3393 (2005)
J.K. Whitmer, E. Luijten, J. Phys. Condens. Matter 22, 104106 (2010)
B.J. Alder, T.E. Wainwright, Phys. Rev. A 1, 18 (1970)
J.P. Hansen, I.R. McDonald, Theory of Simple Liquids, 3rd edn. (Academic, London, 2006)
H. Hasimoto, J. Fluid Mech. 5, 317 (1959)
L. Bocquet, J.L. Barrat, Soft Matter 3, 685 (2007)
O.I. Vinogradova, A.V. Belyaev, J. Phys. Condens. Matter 23, 184104 (2011)
J.W. Swan, A.S. Khair, J. Fluid Mech. 606, 115 (2008)
A.S. Khair, T.M. Squires, Phys. Fluids 21, 042001 (2009)
R.W. O’Brien, L.R. White, J. Chem. Soc. Faraday Trans. 2 74, 1607 (1978)
R.J. Hill, D.A. Saville, W.B. Russel, J. Colloid Interface Sci. 258, 56 (2003)
E. Hückel, Phys. Z. 25, 204 (1924)
M.v. Smoluchowski, Z. Phys. Chem. 92, 129 (1917)
A.L. Loeb, J.T.G. Overbeek, P.H. Wiersema, The Electrical Double Layer Around a Spherical Colloid Particle (MIT, Massachusetts, 1961)
H. Ohshima, T. Healy, L. White, J. Colloid Interface Sci. 90, 17 (1982)
H. Ohshima, Theory of Colloid and Interfacial Electric Phenomena (Academic, Amsterdam, 2006)
J. López-García, M. Aranda-Rascón, J. Horno, J. Colloid Interface Sci. 316, 196 (2007)
J. López-García, M. Aranda-Rascón, J. Horno, J. Colloid Interface Sci. 323, 146 (2008)
J. Zhou, F. Schmid, J. Phys. Condens. Matter 24, 464112 (2012)
J. Zhou, F. Schmid, Eur. Phys. J. E 36, 33 (2013)
J. Zhou, R. Schmitz, B. Dünweg, F. Schmid, J. Chem. Phys. 139, 024901 (2013)
Acknowledgements
We are grateful to Prof. Reghan Hill for providing the computer program MPEK. We thank the HLRS Stuttgart for a generous grant of computer time on HERMIT. This work is funded by the Deutsche Forschungsgemeinschaft (DFG) through the SFB-TR6 program “Physics of Colloidal Dispersions in External Fields”.
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Zhou, J., Schmid, F. (2013). A Dissipative-Particle-Dynamics Model for Simulating Dynamics of Charged Colloids. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering ‘13. Springer, Cham. https://doi.org/10.1007/978-3-319-02165-2_1
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DOI: https://doi.org/10.1007/978-3-319-02165-2_1
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