Literature DB >> 19957006

Fast and accurate SCFT calculations for periodic block-copolymer morphologies using the spectral method with Anderson mixing.

M W Matsen1.   

Abstract

We study the numerical efficiency of solving the self-consistent field theory (SCFT) for periodic block-copolymer morphologies by combining the spectral method with Anderson mixing. Using AB diblock-copolymer melts as an example, we demonstrate that this approach can be orders of magnitude faster than competing methods, permitting precise calculations with relatively little computational cost. Moreover, our results raise significant doubts that the gyroid (G) phase extends to infinite chi N . With the increased precision, we are also able to resolve subtle free-energy differences, allowing us to investigate the layer stacking in the perforated-lamellar (PL) phase and the lattice arrangement of the close-packed spherical ( S (cp) phase. Furthermore, our study sheds light on the existence of the newly discovered Fddd ( O(70) morphology, showing that conformational asymmetry has a significant effect on its stability.

Entities:  

Year:  2009        PMID: 19957006     DOI: 10.1140/epje/i2009-10534-3

Source DB:  PubMed          Journal:  Eur Phys J E Soft Matter        ISSN: 1292-8941            Impact factor:   1.890


  7 in total

1.  Stable and unstable phases of a diblock copolymer melt.

Authors: 
Journal:  Phys Rev Lett       Date:  1994-04-18       Impact factor: 9.161

2.  Fluctuation effects and the stability of the Fddd network phase in diblock copolymer melts.

Authors:  Bing Miao; Robert A Wickham
Journal:  J Chem Phys       Date:  2008-02-07       Impact factor: 3.488

3.  Renormalization of the one-loop theory of fluctuations in polymer blends and diblock copolymer melts.

Authors:  Piotr Grzywacz; Jian Qin; David C Morse
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2007-12-14

4.  Dislocation-controlled perforated layer phase in a PEO- b-PS diblock copolymer.

Authors:  L Zhu; P Huang; S Z Cheng; Q Ge; R P Quirk; E L Thomas; B Lotz; J C Wittmann; B S Hsiao; F Yeh; L Liu
Journal:  Phys Rev Lett       Date:  2001-06-25       Impact factor: 9.161

5.  Orthorhombic Fddd network in triblock and diblock copolymer melts.

Authors:  Christopher A Tyler; David C Morse
Journal:  Phys Rev Lett       Date:  2005-05-24       Impact factor: 9.161

6.  Discovering ordered phases of block copolymers: new results from a generic Fourier-space approach.

Authors:  Zuojun Guo; Guojie Zhang; Feng Qiu; Hongdong Zhang; Yuliang Yang; An-Chang Shi
Journal:  Phys Rev Lett       Date:  2008-07-08       Impact factor: 9.161

7.  Improved convergence in block copolymer self-consistent field theory by Anderson mixing.

Authors:  R B Thompson; K Ø Rasmussen; T Lookman
Journal:  J Chem Phys       Date:  2004-01-01       Impact factor: 3.488

  7 in total
  5 in total

1.  Monte Carlo phase diagram for diblock copolymer melts.

Authors:  T M Beardsley; M W Matsen
Journal:  Eur Phys J E Soft Matter       Date:  2010-07-28       Impact factor: 1.890

2.  Effects of compositional asymmetry in phase behavior of ABA triblock copolymer melts from Monte Carlo simulation.

Authors:  S Wołoszczuk; M Banaszak
Journal:  Eur Phys J E Soft Matter       Date:  2010-12-02       Impact factor: 1.890

3.  Efficiency of pseudo-spectral algorithms with Anderson mixing for the SCFT of periodic block-copolymer phases.

Authors:  P Stasiak; M W Matsen
Journal:  Eur Phys J E Soft Matter       Date:  2011-10-11       Impact factor: 1.890

4.  Comparison of A-block polydispersity effects on BAB triblock and AB diblock copolymer melts.

Authors:  M W Matsen
Journal:  Eur Phys J E Soft Matter       Date:  2013-04-25       Impact factor: 1.890

5.  Open-source code for self-consistent field theory calculations of block polymer phase behavior on graphics processing units.

Authors:  Guo Kang Cheong; Anshul Chawla; David C Morse; Kevin D Dorfman
Journal:  Eur Phys J E Soft Matter       Date:  2020-02-25       Impact factor: 1.890

  5 in total

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