Summary
We study random copolymers consisting of two kinds of monomers with attraction between similar kinds. The mean-field analysis of this system indicates a continuous phase transition into a phase with periodic microdomain structure. It is shown that the inverse of the renormalized propagator has a minimum at non-zero wave numbers. Consequently, there is an anomalously large contribution of fluctuations that make the disordered phase locally stable. However, below a certain temperature, the ordered phase is shown to be locally stable and a weak first-order transition is possible, with qualitative differences from the weak crystallization theory developed by Brazovskii. These differences are due to the peculiar form of the fourth-order vertex of the effective Hamiltonian for the system. We calculated the temperature region for the validity of the mean-field estimates of the amplitude and the scale of microphase separation.
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References
L. Leibler:Macromolecules,13, 1602 (1980).
F. S. Bates andG. H. Fredrickson:Annu. Rev. Phys. Chem.,41, 525 (1990).
F. S. Bates:Science,251, 898 (1991).
H. Benoit andG. Hadziioannou:Macromolecules,21, 1449 (1988).
T. Garel andH. Orland:Europhys. Lett.,6, 597 (1988).
E. I. Shakhnovich andA. M. Gutin:J. Phys. (Paris),50, 1843 (1989).
G. H. Fredrickson, S. T. Milner andL. Leibler:Macromolecules,25, 6341 (1992).
C. D. Sfatos, A. M. Gutin andE. I. Shakhnovich:J. Phys. A,27, L411 (1994).
A. M. Gutin, C. D. Sfatos andE. I. Shakhnovich: submitted toJ. Phys. A.
S. A. Brazovskii:Sov. Phys. JETP,41, 85 (1975).
A. V. Dobrynin andI. Ya., Erukhimovich: to be published inJ. Phys. I,5, 365 (1995).
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Sfatos, C.D., Gutin, A.M. & Shakhnovich, E.I. Fluctuation effects on microphase separation in random copolymers. Il Nuovo Cimento D 16, 879–882 (1994). https://doi.org/10.1007/BF02456738
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DOI: https://doi.org/10.1007/BF02456738