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The European Physical Journal E

, Volume 27, Issue 3, pp 323–333 | Cite as

Effects of polydispersity on the order-disorder transition of diblock copolymer melts

Regular Article

Abstract

The effect of polydispersity on an AB diblock copolymer melt is investigated using lattice-based Monte Carlo simulations. We consider melts of symmetric composition, where the B blocks are monodisperse and the A blocks are polydisperse with a Schultz-Zimm distribution. In agreement with experiment and self-consistent field theory (SCFT), we find that polydispersity causes a significant increase in domain size. It also induces a transition from flat to curved interfaces, with the polydisperse blocks residing on the inside of the interfacial curvature. Most importantly, the simulations show a relatively small shift in the order-disorder transition (ODT) in agreement with experiment, whereas SCFT incorrectly predicts a sizable shift towards higher temperatures.

PACS

82.35.Jk Copolymers, phase transitions, structure 61.46.-w Structure of nanoscale materials 

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References

  1. 1.
    D.A. Hajduk, P.E. Harper, S.M. Gruner, C.C. Honeker, G. Kim, E.L. Thomas, L.J. Fetters, Macromolecules 27, 4063 (1994)Google Scholar
  2. 2.
    I.W. Hamley, K.A. Koppi, J.H. Rosedale, F.S. Bates, K. Almdal, K. Mortensen, Macromolecules 26, 5959 (1993).Google Scholar
  3. 3.
    D.A. Hajduk, H. Takenouchi, M.A. Hillmyer, F.S. Bates, M.E. Vigild, K. Almdal, Macromolecules 30, 3788 (1997).Google Scholar
  4. 4.
    M. Takenaka, T. Wakada, S. Akasaka, S. Nishitsuji, K. Saijo, H. Shimizu, M.I. Kim, H. Hasegawa, Macromolecules 40, 4399 (2007).Google Scholar
  5. 5.
    M.W. Matsen, M. Schick, Phys. Rev. Lett. 72, 2660 (1994).Google Scholar
  6. 6.
    C.A. Tyler, D.C. Morse, Phys. Rev. Lett. 94, 208302 (2005).Google Scholar
  7. 7.
    G.H. Fredrickson, E. Helfand, J. Chem. Phys. 87, 697 (1987).Google Scholar
  8. 8.
    M.W. Matsen, G.H. Griffiths, R.A. Wickham, O.N. Vassiliev, J. Chem. Phys. 124, 024904 (2006).Google Scholar
  9. 9.
    F. Martínez-Veracoechea, F.A. Escobedo, Macromolecules 38, 8522 (2005).Google Scholar
  10. 10.
    B. Miao, R.A. Wickham, J. Chem. Phys. 128, 054902 (2008).Google Scholar
  11. 11.
    M.A. Hillmyer, J. Polym. Sci., Part B 45, 3249 (2007).Google Scholar
  12. 12.
    D. Bendejacq, V. Ponsinet, M. Joanicot, Y.-L. Loo, R.A. Register, Macromolecules 35, 6645 (2002).Google Scholar
  13. 13.
    N.A. Lynd, B.D. Hamilton, M.A. Hillmyer, J. Polym. Sci. Part B. 45, 3386 (2007)Google Scholar
  14. 14.
    N.A. Lynd, M.A. Hillmyer, Macromolecules 38, 8803 (2005).Google Scholar
  15. 15.
    N.A. Lynd, M.A. Hillmyer, Macromolecules 40, 8050 (2007).Google Scholar
  16. 16.
    A.-V. Ruzette, S. Tencé-Girault, L. Leibler, F. Chauvin, D. Bertin, O. Guerret, P. Gérard, Macromolecules 39, 5804 (2006).Google Scholar
  17. 17.
    M.W. Matsen, Eur. Phys. J. E 21, 199 (2006).Google Scholar
  18. 18.
    S.W. Sides, G.H. Fredrickson, J. Chem. Phys. 121, 4974 (2004).Google Scholar
  19. 19.
    D.M. Cooke, A.-C. Shi, Macromolecules 39, 6661 (2006).Google Scholar
  20. 20.
    M.W. Matsen, Phys. Rev. Lett. 99, 148304 (2007).Google Scholar
  21. 21.
    Y. Matsushita, A. Noro, M. Iinuma, J. Suzuki, H. Ohtani, A. Takano, Macromolecules 36, 8074 (2003)Google Scholar
  22. 22.
    C. Burger, W. Ruland, A.N. Semenov, Macromolecules 23, 3339 (1990)Google Scholar
  23. 23.
    P. Grzywacz, J. Qin, D.C. Morse, Phys. Rev. E 76, 061802 (2007).Google Scholar
  24. 24.
    O.N. Vassiliev, M.W. Matsen, J. Chem. Phys. 118, 7700 (2003).Google Scholar
  25. 25.
    U. Micka, K. Binder, Macromol. Theory Simul. 4, 419 (1995).Google Scholar
  26. 26.
    N.A. Lynd, M.A. Hillmyer, M.W. Matsen, Macromolecules 41, 4531 (2008).Google Scholar
  27. 27.
    G.V.Z. Schultz, Z. Phys. Chem. (Munich) B43, 25 (1939)Google Scholar
  28. 28.
    T. Pakula, K. Karatasos, S.H. Anastasiadis, G. Fytas, Macromolecules 30, 8463 (1997).Google Scholar
  29. 29.
    J.-L. Barrat, G.H. Fredrickson, J. Chem. Phys. 95, 1281 (1991).Google Scholar
  30. 30.
    F.S. Bates, M.F. Schulz, A.K. Khandpur, S. Förster, J.H. Rosedale, K. Almdal, K. Mortensen, Faraday Discuss. 98, 7 (1994).Google Scholar
  31. 31.
    M.W. Matsen, F.S. Bates, Macromolecules 29, 7641 (1996).Google Scholar
  32. 32.
    M.W. Matsen, J. Phys.: Condens. Matter 14, R21 (2002).Google Scholar
  33. 33.
    J. Listak, W. Jakubowski, L. Mueller, A. Plichta, K. Matyjaszewski, M.R. Bockstaller, Macromolecules 41, 5919 (2008).Google Scholar
  34. 34.
    M. Buzzacchi, P. Sollich, N.B. Wilding, M. Müller, Phys. Rev. E 73, 046110 (2006).Google Scholar

Copyright information

© Springer 2008

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of ReadingReadingUK

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