Evolution in off-critical diblock copolymer melts
Author(s) -
Michael Helmers,
Barbara Niethammer,
Xiaofeng Ren
Publication year - 2008
Publication title -
networks and heterogeneous media
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.732
H-Index - 34
eISSN - 1556-181X
pISSN - 1556-1801
DOI - 10.3934/nhm.2008.3.615
Subject(s) - component (thermodynamics) , spheres , copolymer , flow (mathematics) , volume fraction , hard spheres , phase (matter) , materials science , interpretation (philosophy) , statistical physics , thermodynamics , physics , mechanics , computer science , polymer , composite material , quantum mechanics , astronomy , programming language
We study the evolution of diblock copolymer melts in which one component has small volume fraction. In this case one observes phase morphologies which consist of small spheres of the minority component embedded in the other component. Based on the Ohta-Kawasaki free energy one can set up an evolution equation which has the interpretation of a gradient flow. We restrict this gradient flow to morphologies in which the minority phase consists of spheres and derive monopole approximations for different parameter regimes. We use these approximations for simulations of large particle systems. © American Institute of Mathematical Sciences
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