Using molecular dynamics simulations, we study interacting polyelectrolyte brushes that are grafted to two parallel surfaces (quasi-Planar Membrane). The interactions between brushes are important, for instance, in stabilization of dispersions against flocculation. We simulate the relative shear motion of both neutral and polyelectrolyte end-grafted polymer brushes. The flexible neutral polymer brush is treated as a bead-spring model, and the polyelectrolyte brush is treated the same way except that each bead is charged and there are counter ions present to neutralize the charge. We investigate the friction coefficient, monomer density, and brush penetration for the two kinds of brushes with both the same grafting density and the same normal force under good solvent conditions.
Published in | American Journal of Physics and Applications (Volume 4, Issue 2) |
DOI | 10.11648/j.ajpa.20160402.11 |
Page(s) | 20-26 |
Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
Copyright |
Copyright © The Author(s), 2016. Published by Science Publishing Group |
Molecular Dynamics Simulation, Aqueous Solution, WCA Potential, Membrane, Adhesion
[1] | B. Alberts, D. Bray, J. Lewis, M. Raff, K. Roberts, and J. D. Watson, “Molecular Biology of the Cell,” Garland, New York, (1944). |
[2] | E. Sackmann, “Membrane bending energy concept of vesicle-and cell-shapes and shape-transitions,” FEBS Letters, 346 (1994) 3. |
[3] | R. Lipowsky and S. Leibler, “Unbinding transitions of interacting membranes,” Physical Review Letters, 56 (1986) 2541. |
[4] | U. Seifert and R. Lipowsky, “Adhesion of vesicles,” Physical Review A, 42 (1990) 4768. |
[5] | G. I. Bell, “Models for the specific adhesion of cells to cells,” Science, 200 (1978) 618. |
[6] | G. I. Bell, M. Dembo, and P. Bongrand, “Cell adhesion. Competition between nonspecific repulsion and specific bonding, Biophysical Journal, 45 (1984) 1051. |
[7] | E. A. Evans, “Detailed mechanics of membrane-membrane adhesion and separation. I. Continuum of molecular cross- bridges,” Biophysical Journal, 48 (1985) 175. |
[8] | Matthias Ballauff and Oleg Borisov. Polyelectrolyte brushes. |
[9] | Current Opinion in Colloid Interface Science, 11 (2006) 316. |
[10] | JurgenRuhe et al. Polyelectrolyte brushes. In Polyelectrolytes with Defined Molecular Architecture I, Advances in Polymer Science, 165 (2004) 189. |
[11] | Gary S. Grest. Interfacial sliding of polymer brushes: A molecular dynamics simulation. Phys. Rev. Lett., 76 (1996) 4979. |
[12] | Michael Murat and Gary S. Grest. Interaction between grafted polymeric brushes: A molecular-dynamics study. Phys. Rev. Lett., 63 (1989) 1074. |
[13] | T. Kreer, M. H. Muser, K. Binder, and J. Klein. Frictional drag mechanisms between polymer-bearing surfaces. Langmuir, 17 (2001) 7804. |
[14] | Daniel J Sandberg, Jan-Michael Y Carrillo, and Andrey V Dobrynin. Molecular dynamics simulations of polyelectrolyte brushes: from single chains to bundles of chains. Langmuir: the ACS journal of surfaces and colloids, 23 (2007) 12716. |
[15] | Owen J Hehmeyer and Mark J Stevens. Molecular dynamics simulations of grafted polyelectrolytes on twoapposing walls. The Journal of chemical physics, 122 (2005) 134909. |
[16] | Qianqian Cao, Chuncheng Zuo, Lujuan Li, and Hongwei He. Shearing and compression behavior of end-grafted polyelectrolyte brushes with mono- and trivalent counterions: a molecular dynamics simulation. Modelling and Simulation in Materials Science and Engineering, 18 (2010) 075001. |
[17] | J B Sokoloff. Theory of the observed ultralow friction between Sliding polyelectrolyte brushes. The Journal of chemical physics, 129 (2008) 014901. |
[18] | Jacob Klein, Kumacheva Eugenia, Perahia Dvora, and Mahalu Diana. Shear, friction, and lubrication forces between polymer bearing surfaces. Annual Reviews of Material Science, 26 (1996) 581. |
[19] | Allen, M. P., Introduction to Molecular Dynamics Simulation, published in NIC Series (2004) Vol. 23, 1-8. |
[20] | Weeks, J. D.; Chandler, D.; Andersen, H. C. Role of repulsive forces in determining the equilibrium structure of simple liquids. J. Chem. Phys. 54(1971) 5237. |
[21] | Grest, G. S.; Kremer, K. Molecular dynamics simulation for polymers in the presence of a heat bath. Phys. Rev. A 33, (1986), 3628. |
[22] | Kremer, K.; Grest, G. S. Dynamics of entangled linear polymer melts: A molecular-dynamics simulation. J. Chem. Phys. 92, (1990) 5057. |
[23] | Kurt Kremer and G. S. Grest. Molecular-dynamics of entangled linear polymer melts: An simulation. The Journal of Chemical Physics, 92(1990)5057. |
[24] | Peter A. Thompson, Gary S. Grest, and Mark O. Robbins. Phase transitions and universal dynamics in confined films. Phys. Rev. Lett, 68(1992) 3448. |
[25] | Lyubimov, I.; Guenza, M. G. First-principle approach to rescale the dynamics of simulated coarse-grained macromolecular liquids. Phys. Rev. E (2011), 84, 031801:1–031801:19. |
[26] | L. Verlet. Computer experiments on classical _uids. i. thermodynamical properties of Lennard-Jones molecules. Phys. Rev, 159(1967) 98–103. |
[27] | L. Verlet. Computer experiments on classical _uids. ii. equilibrium correlation functions. Phys. Rev., 165(1968)201–214. |
[28] | R. W. Hockney and J. W. Eastwood. Computer simulations using particles. Adam Hilger, Bristol, (1988). |
[29] | W. C. Swope, H. C. Andersen, P. H. Berens, and K. R. Wilson. A computer simulation method for the calculation of equilibrium constants for the formation of physical clusters of molecules: application to small water clusters. J. Chem. Phys., 76(1982)637–649. |
[30] | F. Reif, Fundamentals of Statistical and Thermal physics (McGraw-Hill, New York, (1965)). |
APA Style
Nourdine Hadrioui, Khalid Elhasnaoui, Abdelwahad Maarouf, Tarik ELhafi, Hamid Ridouane. (2016). Interacting Polyelectrolyte Brushes Grafted in Two Bilayers: Molecular Dynamics Simulations. American Journal of Physics and Applications, 4(2), 20-26. https://doi.org/10.11648/j.ajpa.20160402.11
ACS Style
Nourdine Hadrioui; Khalid Elhasnaoui; Abdelwahad Maarouf; Tarik ELhafi; Hamid Ridouane. Interacting Polyelectrolyte Brushes Grafted in Two Bilayers: Molecular Dynamics Simulations. Am. J. Phys. Appl. 2016, 4(2), 20-26. doi: 10.11648/j.ajpa.20160402.11
AMA Style
Nourdine Hadrioui, Khalid Elhasnaoui, Abdelwahad Maarouf, Tarik ELhafi, Hamid Ridouane. Interacting Polyelectrolyte Brushes Grafted in Two Bilayers: Molecular Dynamics Simulations. Am J Phys Appl. 2016;4(2):20-26. doi: 10.11648/j.ajpa.20160402.11
@article{10.11648/j.ajpa.20160402.11, author = {Nourdine Hadrioui and Khalid Elhasnaoui and Abdelwahad Maarouf and Tarik ELhafi and Hamid Ridouane}, title = {Interacting Polyelectrolyte Brushes Grafted in Two Bilayers: Molecular Dynamics Simulations}, journal = {American Journal of Physics and Applications}, volume = {4}, number = {2}, pages = {20-26}, doi = {10.11648/j.ajpa.20160402.11}, url = {https://doi.org/10.11648/j.ajpa.20160402.11}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajpa.20160402.11}, abstract = {Using molecular dynamics simulations, we study interacting polyelectrolyte brushes that are grafted to two parallel surfaces (quasi-Planar Membrane). The interactions between brushes are important, for instance, in stabilization of dispersions against flocculation. We simulate the relative shear motion of both neutral and polyelectrolyte end-grafted polymer brushes. The flexible neutral polymer brush is treated as a bead-spring model, and the polyelectrolyte brush is treated the same way except that each bead is charged and there are counter ions present to neutralize the charge. We investigate the friction coefficient, monomer density, and brush penetration for the two kinds of brushes with both the same grafting density and the same normal force under good solvent conditions.}, year = {2016} }
TY - JOUR T1 - Interacting Polyelectrolyte Brushes Grafted in Two Bilayers: Molecular Dynamics Simulations AU - Nourdine Hadrioui AU - Khalid Elhasnaoui AU - Abdelwahad Maarouf AU - Tarik ELhafi AU - Hamid Ridouane Y1 - 2016/03/06 PY - 2016 N1 - https://doi.org/10.11648/j.ajpa.20160402.11 DO - 10.11648/j.ajpa.20160402.11 T2 - American Journal of Physics and Applications JF - American Journal of Physics and Applications JO - American Journal of Physics and Applications SP - 20 EP - 26 PB - Science Publishing Group SN - 2330-4308 UR - https://doi.org/10.11648/j.ajpa.20160402.11 AB - Using molecular dynamics simulations, we study interacting polyelectrolyte brushes that are grafted to two parallel surfaces (quasi-Planar Membrane). The interactions between brushes are important, for instance, in stabilization of dispersions against flocculation. We simulate the relative shear motion of both neutral and polyelectrolyte end-grafted polymer brushes. The flexible neutral polymer brush is treated as a bead-spring model, and the polyelectrolyte brush is treated the same way except that each bead is charged and there are counter ions present to neutralize the charge. We investigate the friction coefficient, monomer density, and brush penetration for the two kinds of brushes with both the same grafting density and the same normal force under good solvent conditions. VL - 4 IS - 2 ER -