Relaxation of a single polymer chain trapped in an array of obstacles in two dimensions

被引:14
作者
Hagita, K [1 ]
Ishizuka, D [1 ]
Takano, H [1 ]
机构
[1] Keio Univ, Fac Sci & Technol, Dept Phys, Yokohama, Kanagawa 2238522, Japan
关键词
relaxation modes; relaxation rates; single polymer chain; obstacles; Monte Carlo simulations; bond fluctuation model; slithering snake model; excluded volume interaction; reptation;
D O I
10.1143/JPSJ.70.2897
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Relaxation of a single polymer chain trapped in a periodic array of obstacles in two dimensions is studied by Monte Carlo simulations of the bond fluctuation model, where only the excluded volume interaction is taken into account. Relaxation modes and rates of the polymer chain are estimated by solving a generalized eigenvalue problem for the equilibrium time correlation matrices of the coarse-grained relative positions of segments of the polymer chain. The Slowest relaxation rate lambda (1) of the polymer chain of N segments behaves as lambda (1) proportional to N-3.1. The pth,lowest relaxation rate lambda (p) with p greater than or equal to 2 shows the p-dependence lambda (p) proportional to p(2.1) and the N-dependence consistent with lambda (p) proportional to N-3.1 for small values of p/N. For each N, the slowest relaxation rate lambda (1) is remarkably smaller than the value extrapolated from the behavior lambda (p) proportional to p(2.1) for p greater than or equal to 2. The behaviors of slow relaxation modes are similar to those of the Rouse modes. These behaviors of the relaxation rates and modes correspond to those of the slithering snake model with the excluded volume interaction.
引用
收藏
页码:2897 / 2902
页数:6
相关论文
共 32 条
[1]  
[Anonymous], 1990, POLYM SOLUTION
[2]   Diffusion of single long polymers in fixed and low density matrix of obstacles confined to two dimensions [J].
Azuma, R ;
Takayama, H .
JOURNAL OF CHEMICAL PHYSICS, 1999, 111 (18) :8666-8671
[3]   Bond fluctuation method for a polymer undergoing gel electrophoresis [J].
Azuma, R ;
Takayama, H .
PHYSICAL REVIEW E, 1999, 59 (01) :650-655
[4]   DYNAMIC MONTE-CARLO SCALING METHOD FOR POLYMERS [J].
BANAVAR, JR ;
MUTHUKUMAR, M .
CHEMICAL PHYSICS LETTERS, 1982, 93 (01) :35-37
[5]   Polymers and disordered media [J].
Baumgartner, A ;
Muthukumar, M .
ADVANCES IN CHEMICAL PHYSICS, VOL XCIV: POLYMERIC SYSTEMS, 1996, 94 :625-708
[6]  
Binder, 1995, MONTE CARLO MOL DYNA
[7]   THE BOND FLUCTUATION METHOD - A NEW EFFECTIVE ALGORITHM FOR THE DYNAMICS OF POLYMERS IN ALL SPATIAL DIMENSIONS [J].
CARMESIN, I ;
KREMER, K .
MACROMOLECULES, 1988, 21 (09) :2819-2823
[8]  
DEGENNES PG, 1984, SCALING CONCEPTS POL
[9]   THE DIFFUSION-COEFFICIENT OF A REPTATING POLYMER [J].
DEUTSCH, JM ;
MADDEN, TL .
JOURNAL OF CHEMICAL PHYSICS, 1989, 91 (05) :3252-3257