Flory radius of polymers in a periodic field: An exact analytic theory |
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Authors: | A I Chervanyov G Heinrich |
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Institution: | (1) Leibniz Institute of Polymer Research Dresden, Hohe Strasse 6, D-01069 Dresden, Germany |
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Abstract: | We found an exact expression for the Flory radius R
F of Gaussian polymers placed in an external periodic field. This solution is expressed in terms of the two parameters η and
a that describe the reduced strength of an external field and the period of the field to the polymer gyration radius ratio,
respectively. R
F is found to be a decaying function of η for any values of a . Provided that the gyration radius is of the order of the period of an external field or less, the ground-state (GS) approximation
of the exact result for R
F is shown to give qualitatively incorrect results. In addition to the “ground-state” contribution, the exact solution for
R
F contains an additional term that is overlooked by the GS approximation. This term gives rise to the fact that R
F as a function of η exhibits power law behavior (rather than exponential decay obtained from the GS result) once η exceeds
the threshold value ηcon . |
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Keywords: | 61 41 +e Polymers elastomers and plastics 82 70 Uv Surfactants micellar solutions vesicles lamellae amphiphilic systems (hydrophilic and hydrophobic interactions) |
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