Polymerized membranes in poor solvent

  • S. Mori
  • Y. Kajinaga
Other Related Topics Contributed
Part of the Progress in Colloid & Polymer Science book series (PROGCOLLOID, volume 106)

Abstract

We discuss the mechanism of the phase transitions of polymerized membranes with attractive interactions or in poor solvent. Depending on the local flexibility of the membrane, the membranes with attractive interactions are known to show a discontinuous or a continuous flat-compact phase transitions. We study a model for D-dimensional polymerized membrane with attractive long-range interactions (r−y) and a square-lattice model with bending rigidity (u) and repulsive or attractive interactions (±ω). Based on the results, we give a theoretical interpretation to the flat-compact phase transition of polymerized membranes.

Key words

Polymerized membrane poor solvent flat-compact transition critical state folding 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Abraham FF, Nelson DR (1990) J Phys (Paris) 51:2653–2672Google Scholar
  2. 2.
    Abraham FF, Kardar M (1991) Science 252:419–422CrossRefGoogle Scholar
  3. 3.
    Liu D, Plischke M (1992) Phys Rev A45:7139–7144Google Scholar
  4. 4.
    Grest GS, Petsche IB (1994) Phys Rev E50:1737–1740Google Scholar
  5. 5.
    Hwa T, Kokufuta E, Tanaka T (1991) Phys Rev A:R2235–2238Google Scholar
  6. 6.
    Spector MS, Naranjo E, Chiruvolu S, Zasadzinski J (1994) Phys Rev Lett 21:2867–2870CrossRefGoogle Scholar
  7. 7.
    Mori S, Wadati M (1995) Phys Lett A201:61–65Google Scholar
  8. 8.
    Mori S, Kajinaga Y (1996) Phys Rev E53:124–133Google Scholar
  9. 9.
    Le Doussal P (1992) J Phys A Math Gen 25:L469–476CrossRefGoogle Scholar
  10. 10.
    Guitter E, Palmeri J (1992) Phys Rev A45:734–744Google Scholar
  11. 11.
    Di Francesco P, Guitter E (1994) Phys Rev E50:4418–4426Google Scholar

Copyright information

© Steinkopff Verlag 1997

Authors and Affiliations

  • S. Mori
    • 1
  • Y. Kajinaga
    • 1
  1. 1.Polymerized Membranes in Poor Solvent Department of Physics Graduate School of ScienceUniversity of TokyoTokyoJapan

Personalised recommendations