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Branched Polymers inside Nanoscale Pores

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Structure and Dynamics of Confined Polymers

Part of the book series: NATO Science Series ((ASHT,volume 87))

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Abstract

A non adsorbing, flexible polymer (in dilute solution with a good solvent)enters a pore (of diameter D smaller than its natural size R F only when it is sucked in by a solvent flux J higher than a threshold value J c . For linear polymers \(J_c \simeq kT/\eta \) (whereT is the temperature and η the solvent viscosity). We discuss here the case of statistically branched polymers, with an average number n of monomers between branch points. We find that, depending on the tube diameter, there are two regimes: “weak confinement” and “strong confinement” depending on the tube diameter. By measuring J c in both regimes, we should determine both the molecular weight of the polymer and the number n of monomers in it.

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References

  1. W. Raminsky and M. Arndt (1997)Adv. Polymer Sci. 127, 144.

    Google Scholar 

  2. F. Brochard-Wyart and P.-G. de Gennes (1996)C. R. Acad Sci. II, Paris 323, 473.

    Google Scholar 

  3. C. Gay, P.-G. de Gennes, E. Raphael, and F. Brochard-Wyart (1996), Macromolecules 29, 8379.

    Article  ADS  Google Scholar 

  4. P.-G. de Gennes (1999), Adv. Polymer Sci. 138, 92.

    Google Scholar 

  5. P.-G. de Gennes Scaling Concepts in Polymer Science (1985), Ithaca, NY: Cornell University Press.

    Google Scholar 

  6. F. Brochard-Wyart and P.-G. de Gennes (1977), J. Phys. Chem. 67, 52.

    Article  Google Scholar 

  7. G. Guillot, L. Leger, and F. Rondelez (1985), Macromolecules 18, 2531.

    Article  ADS  Google Scholar 

  8. S. Daoudy and F. Brochard-Wyart (1978), Macromolecules 11, 751.

    Article  ADS  Google Scholar 

  9. J. Isaacson and T. C. Lubensky (1980), J. Physique Lett. 41, 469.

    Article  Google Scholar 

  10. M. Daoud and J. F. Joanny (1981), J. Physique 42, 359.

    Article  Google Scholar 

  11. B. Zimm and W. H. Stockmayer (1949), J. Chem. Phys. 17, 1301.

    Article  ADS  Google Scholar 

  12. M. Adam, M. Delsanti, J.-P. Munch, D. Duran, M. Daoud, and J. F. Joanny (1987), J. Physique 48, 1809.

    Article  Google Scholar 

  13. T. A. Vilgis, P. Haronska, and M. Benhamou (1994), J. Phys. II, France, 4, 2187.

    Article  Google Scholar 

  14. S. M. Bezrukov, I. Vodyanov, R. A. Brutyan, and J. J. Kasianowicz (1996), Macromolecules, 29, 8517.

    Article  ADS  Google Scholar 

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Author information

Authors and Affiliations

  1. Collège de France, Physique de la Matière Condensée, URA 792 du CNRS 11, place Marcelin Berthelot, Paris cedex 05, 75231, France

    C. Gay, P.-G. de Gennes & E. Raphaël

  2. PSI, Institut Curie, 11 rue P.M. Curie, Paris, 75005, France

    F. Brochard-Wyart

Authors
  1. C. Gay
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  2. P.-G. de Gennes
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  3. E. Raphaël
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  4. F. Brochard-Wyart
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Editor information

Editors and Affiliations

  1. Biotechnology Division, National Institute of Standards and Technology, Gaithersburg, USA

    John J. Kasianowicz

  2. Department of Biophysics, Pécs University Medical School, Pécs, Hungary

    Miklós S. Z. Kellermayer

  3. Biophysics Laboratory, Department of Chemistry and Biochemistry, University of California, Santa Cruz, USA

    David W. Deamer

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© 2002 Springer Science+Business Media Dordrecht

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Gay, C., de Gennes, PG., Raphaël, E., Brochard-Wyart, F. (2002). Branched Polymers inside Nanoscale Pores. In: Kasianowicz, J.J., Kellermayer, M.S.Z., Deamer, D.W. (eds) Structure and Dynamics of Confined Polymers. NATO Science Series, vol 87. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0401-5_8

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  • DOI: https://doi.org/10.1007/978-94-010-0401-5_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0698-2

  • Online ISBN: 978-94-010-0401-5

  • eBook Packages: Springer Book Archive

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