POLYMER-CHAINS AND VULCANIZATION

被引:13
作者
CONIGLIO, A
DAOUD, M
机构
[1] Physics Department, Boston University, Boston
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1979年 / 12卷 / 10期
关键词
D O I
10.1088/0305-4470/12/10/004
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A discrete Hamiltonian to describe the vulcanisation which occurs when linear polymer chains are mixed with cross-linking units is proposed. Here the vulcanisation of the chains can occur via clusters of cross-linking units. The Hamiltonian is a simple combination of the n-vector model in the limit when n goes to zero, and the m-states Potts model when m goes to unity. The partition function is discussed. The Migdal renormalisation group shows that the chain behaviour is always controlled by the self-avoiding walk (SAW) fixed point. The vulcanisation is described by percolation exponents except in the vicinity of a higher-order critical point where it crosses over the SAW exponents.
引用
收藏
页码:L259 / L265
页数:7
相关论文
共 23 条
[1]   SITE-BOND CORRELATED-PERCOLATION PROBLEM - STATISTICAL MECHANICAL MODEL OF POLYMER GELATION [J].
CONIGLIO, A ;
STANLEY, HE ;
KLEIN, W .
PHYSICAL REVIEW LETTERS, 1979, 42 (08) :518-522
[2]  
CONIGLIO A, UNPUBLISHED
[3]   EXPERIMENTAL-DETERMINATION OF TEMPERATURE-CONCENTRATION DIAGRAM OF FLEXIBLE POLYMER-SOLUTIONS BY NEUTRON-SCATTERING [J].
COTTON, JP ;
NIERLICH, M ;
BOUE, F ;
DAOUD, M ;
FARNOUX, B ;
JANNINK, G ;
DUPLESSIX, R ;
PICOT, C .
JOURNAL OF CHEMICAL PHYSICS, 1976, 65 (03) :1101-1108
[4]  
DAOUD M, 1975, MACROMOLECULES, V8, P804, DOI 10.1021/ma60048a024
[5]  
Daoud M, 1979, J PHYSIQUE LETT, V40, P201
[6]   EXPONENTS FOR EXCLUDED VOLUME PROBLEM AS DERIVED BY WILSON METHOD [J].
DEGENNES, PG .
PHYSICS LETTERS A, 1972, A 38 (05) :339-&
[7]   LAGRANGIAN THEORY OF POLYMER-SOLUTIONS AT INTERMEDIATE CONCENTRATIONS [J].
DESCLOIZEAUX, J .
JOURNAL DE PHYSIQUE, 1975, 36 (04) :281-291
[8]   ON SHAPE AND CONFIGURATION OF POLYMER MOLECULES [J].
DOMB, C ;
GILLIS, J ;
WILMERS, G .
PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON, 1965, 85 (546P) :625-&
[9]  
DUPLESSIX R, 1976, THESIS U L PASTEUR
[10]  
FARNOUX B, 1976, ANN PHYS-PARIS, V1, P73