1996/12/21 by Cyrill B. Muratov, C. B. Muratov · 12 citations
Chemistry · Materials Science · Mathematics · Physics and Astronomy · #Block Copolymer Self-Assembly #Chemistry #Condensed matter physics #Crystallography #Domain (mathematical analysis) #Hexagonal crystal system #Instability #Material Dynamics and Properties #Materials science #Mathematical analysis #Mathematics #Mean field theory #Order (exchange) #Pattern formation #Physics #Quantum mechanics #Statistical physics #Theoretical and Computational Physics #Transformation (genetics) #cond-mat #nlin.PS #patt-sol
paper · pdf · doi:10.1103/physrevlett.78.3149
published in Physical Review Letters 78(16), 3149-3152 (American Physical Society) · ReVTeX, 4 pages, 3 figures (postscript); submitted to Phys. Rev. Lett
arxiv created 1996/12/21 · openalex publication_date 1997/04/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The dynamics of domains is studied in a two-dimensional model of the microphase separation of diblock copolymers in the vicinity of the transition. A criterion for the validity of the mean-field theory is derived. It is shown that at certain temperatures the ordered hexagonal pattern becomes unstable with respect to the two types of instabilities: the radially nonsymmetric distortions of the domains, and the repumping of the order parameter between the neighbors. Both these instabilities may lead to the transformation of the regular hexagonal pattern into a disordered pattern.