Cited Article: Thompson, P. A general boundary condition for liquid flow at solid surfaces
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Reptation of a semiflexible polymer through porous media
Nam, G; Johner, A; Lee, NK
Author Full Names:
Nam, Gimoon; Johner, Albert; Lee, Nam-Kyung
JOURNAL OF CHEMICAL PHYSICS 133 (4): Art. No. 044908 JUL 28 2010
STIFF POLYMERS; 2 DIMENSIONS; DYNAMICS; DNA; DIFFUSION; CHAIN; FLUCTUATIONS; SIMULATION; MOLECULES; MELTS
We study the motion of a single stiff semiflexible filament of length S through an array of topological obstacles. By means of scaling arguments and two-dimensional computer simulations, we show that the stiff chain kinetics follows the reptation picture, albeit with kinetic exponents (for the central monomer) different from those for flexible chain reptation. At early times when topological constraints are irrelevant, the chain kinetics is the anisotropic dynamics of a free filament. After the entanglement time tau(e) transverse modes are equilibrated under the topological constraints, but the chain is not yet correlated over its whole length. During the relaxation of longitudinal modes, both the longitudinal fluctuation of the central monomer and the longitudinal correlation length grow as similar to root t. After time tau(r) similar to S-2 chain ends are correlated, the chain then diffuses globally along the tube and tube renewal takes place. In the reptation regime, the !
longitudinal fluctuation of the central monomer grows like similar to t(1). The opening of the intermediate similar to root t regime, absent for a free filament, is a signature of the reptation process. Although the underlying physics is quite different, the intermediate regime is reminiscent of the internal Rouse mode relaxation found for reptating flexible chains. In most cases asymptotic power laws from scaling could be complemented by prefactors calculated analytically. Our results are supported by two-dimensional Langevin simulations with fixed obstacles via evaluation of the mean squared displacement of the central monomer. The scaling theory can be extended to long semiflexible polymers adopting random-walk equilibrium configurations and should also apply in three dimensions for porous media with pore diameter smaller than the persistence length of the filament. (C) 2010 American Institute of Physics. [doi:10.1063/1.3457999]
Lee, NK, Sejong Univ, Inst Fundamental Phys, Dept Phys, Seoul 143743, South Korea.
Research Institution addresses:
[Nam, Gimoon; Lee, Nam-Kyung] Sejong Univ, Inst Fundamental Phys, Dept Phys, Seoul 143743, South Korea; [Nam, Gimoon; Johner, Albert; Lee, Nam-Kyung] CNRS, Inst Charles Sadron, UP22, F-67034 Strasbourg 2, France
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