Abstract
We summarise our [1] recent work on the dynamics of instability driven phenomena in Langmuir monolayers. We consider a binary mixture of amphiphilic molecules which form insoluble monolayers at the water-air interface, and study the role of long range repulsive interaction (lrri) of the dipolar type in the dynamics of fluid-fluid phase separation. The competition between the Irri and the short range attractive interaction due to surface tension, as well as the nonlinearity in the bulk thermodynamic force (arising out of the local double well free energy density), leads to interesting spatio-temporal patterns. The phase separation dynamics is simulated using the appropriate Langevin equation. And the results of the simulation are compared with an approximate, infinite order, singular perturbation theory.
Research supported by the Natural Sciences and Engineering Research Council of Canada.
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1.C. Sagui and R.C. Desai, unpublished.
D.Andelman, F.Brochard and J.F.Joanny, J.Chem. Phys. 86, 3673 (1987).
C. Roland and R.C. Desai, Phys. Rev. B42, 6658 (1990), and references therein.
T.Garel and S.Doniach, Phys. Rev. B26, 325 (1982).
J.A.Cape and G.W.Lehman, J. Appl. Phys. 42, 5732 (1971).
S.A. Brazovskii, Sov. Phys. JETP 41, 85 (1975).
M. Seul, Physica A168, 198 (1990);
M. Seul, Phys. Rev. Lett. 64, 1903 (1990);
M. Seu J. Phys. (France) 51, 1537 (1990);
M. Hurley and S. Singer, to appear J. Phys. Chem. (1991).
T.M.Rogers, K.R.Elder, and R.C.Desai, Phys. Rev. B 37, 9638 (1988).
K.R. Elder, T.M. Rogers and R.C.Desai, Phys. Rev. B 38, 4725 (1988).
T.M.Rogers and R.C.Desai, Phys. Rev. B 39, 11956 (1989).
K.R. Elder and R.C.Desai, Phys. Rev. B 40, 243 (1989).
K.R. Elder, B. Morin, M. Grant and R.C.Desai, Phys. Rev. B, to appear (1991).
M. Laradji, H. Guo, M. Grant and M.J. Zuckermann, to appear J. Phys. A (1991).
K.R. Elder, Ph.D. thesis, University of Toronto (1989).
K.Kawasaki, M.C.Yalabik and J.D.Gunton, Phys. Rev. A17, 455 (1978).
R.C. Desai in ’The Proceedings of the Workshop on Computational Physics and Cellular Automata’, Ed. A. Pires, D.P. Landau and H. Herrmann, World Scientific (1990), p. 12.
S. Puri, R.C. Desai and R. Kapral, Physica D50,207 (1991).
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© 1992 Springer Science+Business Media Dordrecht
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Desai, R.C., Sagui, C., Elder, K.R. (1992). Kinetics of Phase Transitions in Two Dimensional Systems with Competing Interactions. In: Chen, SH., Huang, J.S., Tartaglia, P. (eds) Structure and Dynamics of Strongly Interacting Colloids and Supramolecular Aggregates in Solution. NATO ASI Series, vol 369. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2540-6_9
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DOI: https://doi.org/10.1007/978-94-011-2540-6_9
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