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A rigorous derivation of mean-field models for diblock copolymer melts

Abstract:

We study the free boundary problem describing the micro phase separation of diblock copolymer melts in the regime that one component has small volume fraction such that micro phase separation results in an ensemble of small balls of one component. Mean-field models for the evolution of a large ensemble of such spheres have been formally derived in Glasner and Choksi (Physica D, 238:1241-1255, 2009), Helmers et al. (Netw Heterog Media, 3(3):615-632, 2008). It turns out that on a time scale of ...

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Publication status:
Published

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Publisher copy:
10.1007/s00526-010-0310-x

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
Volume:
39
Issue:
3-4
Pages:
273-305
Publication date:
2010-11-05
DOI:
EISSN:
1432-0835
ISSN:
0944-2669
URN:
uuid:60cb249d-b111-432f-ac04-6d174cdb8073
Source identifiers:
90957
Local pid:
pubs:90957
Language:
English

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