Tricontinuous structure in a homopolymer–homopolymer–random-copolymer ternary mixture quenched under the tricritical point

Mikihito Takenaka; Takeji Hashimoto; Toshiaki Dobashi

doi:10.1103/PhysRevE.52.5142

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Tricontinuous structure in a homopolymer–homopolymer–random-copolymer ternary mixture quenched under the tricritical point

Mikihito Takenaka and Takeji Hashimoto

Toshiaki Dobashi

Division of Polymer Chemistry, Graduate School of Engineering, Kyoto University, Kyoto 606-01, Japan

Department of Biological and Chemical Engineering, Faculty of Engineering, Gunma University, Kiryu 516, Japan

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Phys. Rev. E 52, 5142 – Published 1 November, 1995

DOI: https://doi.org/10.1103/PhysRevE.52.5142

Abstract

We proposed a dynamical method to simulate the time change in the domain structure for a homopolymer–homopolymer–random-copolymer ternary mixture quenched under its tricritical point. The system studied underwent a phase separation into tricontinuous domain structure. The growth of the domain structure obeys a $t^{- 1 / 3}$ power law and the dynamical scaling law is valid in the late stage of phase separation.

References (25)

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[c1] J. D. Gunton, M. San Miguel, and P. S. Sahni, in Phase Transition and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, New York, 1983), Vol. 8, p. 269.

[c2] K. Binder, in Phase Transformations in Materials, edited by R. W. Cahn and E. J. Kramer (VCH, Weinheim, 1990), Vol. 5, p. 405.

[c3] T. Hashimoto, Phase Transitions 12, 47 (1988).

[c4] T. Hashimoto, in Structure and Properties of Polymers, edited by E. L. Thomas (VCH, Weinheim, 1993), Vol. 12, p. 254.

[c5] P. G. de Gennes, J. Chem. Phys. 72, 4756 (1980).

[c6] P. Pincus, J. Chem. Phys. 75, 1996 (1981).

[c7] K. Binder, J. Chem. Phys. 79, 6387 (1983).

[c8] K. Kawasaki and K. Sekimoto, Physica 143A, 349 (1987).

[c9] A. Chakrabarti, A. Toral, J. D. Gunton and M. Muthukumar, Phys. Rev. Lett. 63, 2072 (1989).

[c10] T. Koga, K. Kawasaki, M. Takenaka and T. Hashimoto, Physica A 198, 473 (1993).

[c11] M. Takenaka and T. Hashimoto, Phys. Rev. E 48, R647 (1993).

[c12] H. Furukawa, Physica A 123, 497 (1984).

[c13] K. Binder and D. Stauffer, Phys. Rev. Lett. 33, 1066 (1974).

[c14] L. Leibler, Makromol. Chem. Rapid Commun. 2, 393 (1981).

[c15] D. Broseta and G. H. Fredrickson, J. Chem. Phys. 93, 2927 (1990).

[c16] H. E. Cook, Acta Metall. 18, 297 (1970).

[c17] K. Kawasaki, Prog. Theor. Phys. 57, 826 (1977).

[c18] T. Koga and K. Kawasaki, Phys. Rev. A 44, R817 (1991).

[c19] A. Shinozaki and Y. Oono, Phys. Rev. E 48, 2622 (1993).

[c20] T. E. Schichtel and K. Binder, Macromolecules 20, 1671 (1987).

[c21] T. Kawakatsu, K. Kawasaki, M. Furusaka, H. Okabayashi and T. Kanaya, J. Chem. Phys. 99, 8255 (1993).

[c22] Y. Oono and S. Puri, Phys. Rev. A 38, 434 (1988).

[c23] M. Takenaka and T. Hashimoto, J. Chem. Phys. 96, 6177 (1992).

[c24] C. Yeung, Phys. Rev. Lett. 61, 1135 (1988).

[c25] H. Furukawa, J. Phys. Soc. Jpn. 58, 216 (1989).

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Tricontinuous structure in a homopolymer–homopolymer–random-copolymer ternary mixture quenched under the tricritical point

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