Two-dimensional polymer networks at a mixed boundary: Surface and wedge exponents

被引:8
作者
Batchelor, MT [1 ]
Bennett-Wood, D
Owczarek, AL
机构
[1] Australian Natl Univ, Sch Math Sci, Dept Math, Canberra, ACT 0200, Australia
[2] Univ Melbourne, Dept Math & Stat, Parkville, Vic 3052, Australia
关键词
D O I
10.1007/s100510050426
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
We provide general formulae for the configurational exponents of an arbitrary polymer network connected to the surface of an arbitrary wedge of the two-dimensional plane, where the surface is allowed to assume a general mixture of boundary conditions on either side of the wedge. We report on a comprehensive study of a linear chain by exact enumeration, with various attachments of the walk's ends to the surface, in wedges of angles pi/2 and pi, with general mixed boundary conditions.
引用
收藏
页码:139 / 142
页数:4
相关论文
共 23 条
[1]   SOME TESTS OF SCALING THEORY FOR A SELF-AVOIDING WALK ATTACHED TO A SURFACE [J].
BARBER, MN ;
GUTTMANN, AJ ;
MIDDLEMISS, KM ;
TORRIE, GM ;
WHITTINGTON, SG .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1978, 11 (09) :1833-1842
[2]   CONFORMAL-INVARIANCE AND CRITICAL-BEHAVIOR OF THE O(N) MODEL ON THE HONEYCOMB LATTICE [J].
BATCHELOR, MT ;
BLOTE, HWJ .
PHYSICAL REVIEW B, 1989, 39 (04) :2391-2402
[3]   EXACT RESULTS FOR THE ADSORPTION OF A FLEXIBLE SELF-AVOIDING POLYMER-CHAIN IN 2 DIMENSIONS [J].
BATCHELOR, MT ;
YUNG, CM .
PHYSICAL REVIEW LETTERS, 1995, 74 (11) :2026-2029
[4]   SURFACE CRITICAL-BEHAVIOR OF THE HONEYCOMB O(N) LOOP MODEL WITH MIXED ORDINARY AND SPECIAL BOUNDARY-CONDITIONS [J].
BATCHELOR, MT ;
YUNG, CM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (16) :L421-L426
[5]   EXACT SOLUTION AND SURFACE CRITICAL-BEHAVIOR OF AN O(N) MODEL ON THE HONEYCOMB LATTICE [J].
BATCHELOR, MT ;
SUZUKI, J .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (16) :L729-L735
[6]   Q-COLORINGS OF THE TRIANGULAR LATTICE [J].
BAXTER, RJ .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (14) :2821-2839
[7]   Exact enumeration results for self-avoiding walks on the honeycomb lattice attached to a surface [J].
BennettWood, D ;
Owczarek, AL .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (16) :4755-4768
[8]  
BENNETTWOOD DN, 1998, THESIS U MELBOURNE
[9]   CONFORMAL THEORY OF THE 2-DIMENSIONAL O(N) MODEL WITH ORDINARY, EXTRAORDINARY, AND SPECIAL BOUNDARY-CONDITIONS [J].
BURKHARDT, TW ;
EISENRIEGLER, E .
NUCLEAR PHYSICS B, 1994, 424 (03) :487-504
[10]  
Cardy J., 2002, SCALING RENORMALIZAT