Relaxation of a Polymer Chain Confined in a Tube

概要

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Relaxation modes and rates of' a single polyuner ch?tin confined in a straight tube by repulsivewalls are studied by Monte Carlo sizntrlations of' the 1.cond flucttration rnodel, where only theexclvtded N70IVllIl(2 interaction is taken into accovxnt. The relaxatioua rrrodes and rates are estimated by solving generalized eigenvaltre probletns for the eqttililcriunaa time correlartiota matricesC" (Z) : ((,zn(Z) - zc(Z))(z.7(0) - z.(0)))c and C:j(t) : :(rf(t)- r,'(O))c, where zt and r: areZ,7the components of the position xzector of' tlae 7th segnaent parallel and perpendictrlar to the ttrbeaxis, respectively, and z,. is the parallel conaponertt of' tlae center of 111085 of' the ])01}711101' chaiua.IIFor the parallel counponent, the behavior of the 7>th sloxvest relaxation rate ,X. of a polytnerchain of N segznents agrees with the scaling prediction A') ! Xu(.qp/N)' for .qp/N< l, xvhereA5 and g are the slowest relax?ttion rate within each blab and the ntrrnber of' segments per blob,respectively. The corresponding relaxation modes show the Rouse-like behavior. For tlae per-pendicular conuponents, the beharvior of the pth sloxvest relaxation rate ,x: is consistent with thescaling prediction X,{ ':: X5 for gp/a'J< l, The behavior of the corresponding relaxation modesis consistent with the blob picture.
社団法人日本物理学会の論文
1999-02-15