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Dynamics of a polymer chain confined in a membrane

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Abstract.

We present a Brownian dynamics theory with full hydrodynamics (Stokesian dynamics) for a Gaussian polymer chain embedded in a liquid membrane which is surrounded by bulk solvent and walls. The mobility tensors are derived in Fourier space for the two geometries, namely, a free membrane embedded in a bulk fluid, and a membrane sandwiched by the two walls. Within the preaveraging approximation, a new expression for the diffusion coefficient of the polymer is obtained for the free-membrane geometry. We also carry out a Rouse normal mode analysis to obtain the relaxation time and the dynamical structure factor. For large polymer size, both quantities show Zimm-like behavior in the free-membrane case, whereas they are Rouse-like for the sandwiched membrane geometry. We use the scaling argument to discuss the effect of excluded-volume interactions on the polymer relaxation time.

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Authors and Affiliations

  1. Department of Chemistry, Graduate School of Science and Engineering, Tokyo Metropolitan University, 192-0397, Tokyo, Japan

    S. Ramachandran & S. Komura

  2. National Institute of Advanced Industrial Science and Technology, 305-8565, Ibaraki, Japan

    K. Seki

  3. Institut für Festkörperforschung, Forschungszentrum Jülich, D-52425, Jülich, Germany

    G. Gompper

Authors
  1. S. Ramachandran
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  2. S. Komura
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  3. K. Seki
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  4. G. Gompper
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Correspondence to S. Komura.

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Ramachandran, S., Komura, S., Seki, K. et al. Dynamics of a polymer chain confined in a membrane. Eur. Phys. J. E 34, 46 (2011). https://doi.org/10.1140/epje/i2011-11046-3

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  • DOI: https://doi.org/10.1140/epje/i2011-11046-3

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