Relaxation of disordered polymer networks: Regular lattice made up of small-world Rouse networks

被引:34
作者
Gurtovenko, AA
Blumen, A
机构
[1] Univ Freiburg, D-79104 Freiburg, Germany
[2] Russian Acad Sci, Inst Macromol Cpds, St Petersburg 199004, Russia
关键词
D O I
10.1063/1.1395562
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
As models for inhomogeneous polymer networks, we investigate the Rouse dynamics of regular lattices built from subunits with arbitrary internal structure. We analyze as an example a two-dimensional lattice, consisting of small-world networks (SWNs). Using analytical and numerical calculations we study the stretching of such a structure under an external force. We find that the network shows interesting relaxation features and an unusual behavior in the intermediate time (frequency) domain, which lies in the region between the modes of the SWN subunits and those of the lattice. This behavior is related to the SWN-density of states, which leads to the appearance of a "pseudogap" between the highest lattice eigenvalue and the lowest SWN eigenvalue. (C) 2001 American Institute of Physics.
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收藏
页码:4924 / 4929
页数:6
相关论文
共 47 条
[1]   Subdiffusion and anomalous local viscoelasticity in actin networks [J].
Amblard, F ;
Maggs, AC ;
Yurke, B ;
Pargellis, AN ;
Leibler, S .
PHYSICAL REVIEW LETTERS, 1996, 77 (21) :4470-4473
[2]  
[Anonymous], ELASTOMERIC POLYM NE
[3]  
ASHCROFT NW, 1981, SOLID STATE PHYSICS
[4]   Small-world networks:: Evidence for a crossover picture [J].
Barthélémy, M ;
Amaral, LAN .
PHYSICAL REVIEW LETTERS, 1999, 82 (15) :3180-3183
[5]   SCATTERING BY DEFORMED SWOLLEN GELS - BUTTERFLY ISOINTENSITY PATTERNS [J].
BASTIDE, J ;
LEIBLER, L ;
PROST, J .
MACROMOLECULES, 1990, 23 (06) :1821-1825
[6]  
Biswas P, 2000, MACROMOL THEOR SIMUL, V9, P56
[7]   Stretch dynamics of flexible dendritic polymers in solution [J].
Biswas, P ;
Kant, R ;
Blumen, A .
JOURNAL OF CHEMICAL PHYSICS, 2001, 114 (05) :2430-2441
[8]  
Doi M., 1986, The Theory of Polymer Dynamics
[9]   STRUCTURE AND RELAXATION OF END-LINKED POLYMER NETWORKS [J].
DUERING, ER ;
KREMER, K ;
GREST, GS .
JOURNAL OF CHEMICAL PHYSICS, 1994, 101 (09) :8169-8192
[10]   DYNAMICS OF POLYMER NETWORKS [J].
EDWARDS, SF .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1974, 7 (02) :318-331