Abstract
The addition of amphiphile to two immiscible fluid components can give rise to a wealth of self-assembled microstructures, on length scales of tens of nanometers, depending on the relative concentrations of the components of the mixture, and on the temperature. Though lattice models of the equilibrium properties of amphiphilic fluids have existed for more than a decade, their extension to hydrodynamic phenomena is a much more recent development. Here we review such models with attention to their faithfulness to particular physical phenomena at various scales of length and time.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
H.J. Deuling, W. Helfrich, J. de Physique 37, 1335 (1976)
U. Seifert, K. Berndl, R. Lipowsky, Phys. Rev. A 44, 1182 (1991)
B. Widom, K.A. Dawson, M.D. Lipkin, J. Chem. Phys. 84, 6943–6954 (1986)
K.A. Dawson, M.D. Lipkin, B. Widom, J. Chem. Phys. 88, 5149 (1988)
U. Frisch, B. Hasslacher, and Y. Pomeau, Phys. Rev. Lett. 56, 1505 (1986)
S. Wolfram, J. Stat. Phys. 45, 471 (1986)
L.P. Kadanoff and J. Swift, Phys. Rev. 165, 310 (1968)
J. Hardy, O. de Pazzis and Y. Pomeau, J. Math. Phys. 14, 1746 (1973); Phys. Rev. A13, 1949 (1976).
U. Frisch et al., Complex Syst. 1, 648 (1987)
J.-B. Maillet, V. Lachet, P.V. Coveney, Phys. Chem. Chem. Phys. 1, 5277 (1999)
D.H. Rothman and J.M. Keller, Phys. Rev. Lett. 56, 889 (1988)
B.M. Boghosian, P.V. Coveney, Comp. Phys. Comm. (to be pulished 2000)
C. Appert, J.F. Olson, D.H. Rothman, S. Zaleski, J. Stat. Phys. 81, 181 (1995)
D.H. Rothman and S. Zaleski, Lattice-Gas Automata: Simple Models of Complex Hydrodynamics (Cambridge University Press, 1997)
B.M. Boghosian, P.V. Coveney, A.N. Emerton, Proc. Roy. Soc. Lon. A 452, 1221 (1996)
G. Gompper, M. Schick, Phase Transitions and Critical Phenomena, 16, 1 (1994)
B.M. Boghosian, P.V. Coveney, P.J. Love, Proc. Roy. Soc. Lon. A 456, 1431 (2000)
A.N. Emerton, P.V. Coveney, B.M. Boghosian, Phys. Rev. E 55, 708 (1997)
F.W.J. Weig, P.V. Coveney, B.M. Boghosian, Phys. Rev. E 56, 6877 (1997)
J.P. Wilcoxon, J.E. Martin, J. Odinek, Phys. Rev. Lett. 75, 1558 (1995)
E.G. FlekkøY, D.H. Rothman, Phys. Rev. Lett. 75, 260 (1995); Phys. Rev. E 53, 1622 (1996)
M. Kardar, G. Parisi, Y.-C. Zhang, Phys. Rev. Lett. 56, 889 (1986)
F.W. Starr, S.T. Harrington, B.M. Boghosian, H.E. Stanley, Phys. Rev. Lett. 77, 3363 (1996)
R.E. Peierls, Quantum Theory of Solids, (Clarendon Press, Oxford University 1955)
H. Chen, B.M. Boghosian, P.V. Coveney, M. Nekovee, Proc. Roy. Soc. Lon. A, Rapid Commun. 456, (to be published 2000)
M. Nekovee, P.V. Coveney, H. Chen, B.M. Boghosian, submitted to Phys. Rev. E (2000)
A.N. Emerton, F.J.W. Weig, P.V. Coveney, B.M. Boghosian, J. Phys.: Cond. Mat. 9, 8893 (1997)
P.V. Coveney, J.-B. Maillet, J.L. Wilson, P.W. Fowler, O. Al-Mushadani, B.M. Boghosian, Int. J. Mod. Phys. C 9, 1479 (1998)
P.V. Coveney, A.N. Emerton and B.M. Boghosian, J. Amer. Chem. Soc. 118, 10719 (1996)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Boghosian, B.M., Coveney, P.V. (2001). Lattice Models of Amphiphilic Fluid Hydrodynamics: Simulations and Results. In: Landau, D.P., Lewis, S.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XIII. Springer Proceedings in Physics, vol 86. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56577-9_25
Download citation
DOI: https://doi.org/10.1007/978-3-642-56577-9_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41190-1
Online ISBN: 978-3-642-56577-9
eBook Packages: Springer Book Archive