DIFFUSION-CONTROLLED REACTIONS WITH POLYMERS

被引:26
作者
BURLATSKY, SF
OSHANIN, GS
机构
[1] Institute of Chemical Physics, USSR Academy of Sciences, 117334 Moscow, V-334
关键词
D O I
10.1016/0375-9601(90)90278-V
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the probabilities for the existence of chain-free cavities in solutions with various volume fractions of polymer and derive the exact (for Gaussian coils) and approximate expressions (for swollen coils, rod-like molecules and branched polymers). On the basis of these distributions we obtain the explicit dependences describing trapping kinetics in polymer systems. © 1990.
引用
收藏
页码:61 / 65
页数:5
相关论文
共 34 条
[11]  
BURLATSKY SF, IN PRESS
[12]  
DAOUD M, 1984, J PHYSIQUE LETT, V45, P199
[13]   NEW METHOD FOR GROWING BRANCHED POLYMERS AND LARGE PERCOLATION CLUSTERS BELOW PC [J].
DJORDJEVIC, ZV ;
HAVLIN, S ;
STANLEY, HE ;
WEISS, GH .
PHYSICAL REVIEW B, 1984, 30 (01) :478-481
[14]   ASYMPTOTICS FOR WIENER SAUSAGE [J].
DONSKER, MD ;
VARADHAN, SRS .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1975, 28 (04) :525-565
[15]  
FLORY PJ, 1971, PRINCIPLES POLYM CHE
[16]   THE LONG-TIME PROPERTIES OF DIFFUSION IN A MEDIUM WITH STATIC TRAPS [J].
GRASSBERGER, P ;
PROCACCIA, I .
JOURNAL OF CHEMICAL PHYSICS, 1982, 77 (12) :6281-6284
[17]   TRAPPING OF RANDOM-WALKS IN 2 AND 3 DIMENSIONS [J].
HAVLIN, S ;
DISHON, M ;
KIEFER, JE ;
WEISS, GH .
PHYSICAL REVIEW LETTERS, 1984, 53 (05) :407-410
[18]   RELATION BETWEEN DYNAMIC TRANSPORT-PROPERTIES AND STATIC TOPOLOGICAL-STRUCTURE FOR THE LATTICE-ANIMAL MODEL OF BRANCHED POLYMERS [J].
HAVLIN, S ;
DJORDJEVIC, ZV ;
MAJID, I ;
STANLEY, HE ;
WEISS, GH .
PHYSICAL REVIEW LETTERS, 1984, 53 (02) :178-181
[19]   DIFFUSION IN A MEDIUM WITH A RANDOM DISTRIBUTION OF STATIC TRAPS [J].
KAYSER, RF ;
HUBBARD, JB .
PHYSICAL REVIEW LETTERS, 1983, 51 (02) :79-82
[20]   FRACTAL BEHAVIOR IN TRAPPING AND REACTION - A RANDOM-WALK STUDY [J].
KLAFTER, J ;
BLUMEN, A ;
ZUMOFEN, G .
JOURNAL OF STATISTICAL PHYSICS, 1984, 36 (5-6) :561-577