Dynamics of a polymer chain confined in a membrane |
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Authors: | S Ramachandran S Komura K Seki G Gompper |
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Institution: | (1) Max Planck Institute for Polymer Research, Ackermannweg, 10, 55128, Mainz, Germany;(2) Chemical Engineering Department, University of Florida, Gainesville, FL, 32611-6005, USA |
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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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