Journal Article PreJuSER-15475

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Dynamics of a polymer chain confined in a membrane

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2011
Springer Berlin

The European physical journal / E 34, 46 () [10.1140/epje/i2011-11046-3]

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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.

Keyword(s): Diffusion (MeSH) ; Hydrodynamics (MeSH) ; Membrane Proteins: chemistry (MeSH) ; Membrane Proteins: metabolism (MeSH) ; Molecular Dynamics Simulation (MeSH) ; Particle Size (MeSH) ; Polymers: chemistry (MeSH) ; Polymers: metabolism (MeSH) ; Solvents: chemistry (MeSH) ; Membrane Proteins ; Polymers ; Solvents ; J


Note: We thank H. Diamant, Y. Fujitani, M. Imai, T. Kato and N. Oppenheimer for useful discussions. This work was supported by KAKENHI (Grant-in-Aid for Scientific Research) on Priority Area "Soft Matter Physics" and Grant No. 21540420 from the Ministry of Education, Culture, Sports, Science and Technology of Japan.

Contributing Institute(s):
  1. Theorie der weichen Materie und Biophysik (ICS-2)
  2. Theorie der Weichen Materie und Biophysik (IAS-2)
  3. Theorie der Weichen Materie und Biophysik (IFF-2)
Research Program(s):
  1. BioSoft: Makromolekulare Systeme und biologische Informationsverarbeitung (P45)

Appears in the scientific report 2011
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