EXACT SOLUTION OF THE DISCRETE (1 + 1)-DIMENSIONAL SOS MODEL WITH FIELD AND SURFACE INTERACTIONS

被引:41
作者
OWCZAREK, AL
PRELLBERG, T
机构
[1] Department of Mathematics, University of Melbourne, Parkville, 3052, Victoria
关键词
WETTING TRANSITION; SOS MODEL; DIRECTED WALK; EXACT SOLUTION; Q-SERIES;
D O I
10.1007/BF01049427
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present the solution of a linear solid-on-solid (SOS) model. Configurations are partially directed walks on a two-dimensional square lattice and we include a linear surface tension, a magnetic field, and surface interaction terms in the Hamiltonian. There is a wetting transition at zero field and, as expected, the behavior is similar to a continuous model solved previously. The solution is in terms of q-series most closely related to the q-hypergeometric functions 1phi1.
引用
收藏
页码:1175 / 1194
页数:20
相关论文
共 29 条
[1]   NECKLACE SOLID-ON-SOLID MODELS OF INTERFACES AND SURFACES [J].
ABRAHAM, DB ;
DUXBURY, PM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (03) :385-393
[2]   CORRELATION-FUNCTION FOR THE BAXTER MODEL [J].
ABRAHAM, DB ;
OWCZAREK, AL .
PHYSICAL REVIEW LETTERS, 1990, 64 (22) :2595-2598
[3]   2-POINT FUNCTIONS AND BUBBLES [J].
ABRAHAM, DB .
PHYSICAL REVIEW LETTERS, 1983, 50 (05) :291-294
[4]   AN EXACTLY SOLVED MODEL WITH A WETTING TRANSITION [J].
ABRAHAM, DB ;
SMITH, ER .
JOURNAL OF STATISTICAL PHYSICS, 1986, 43 (3-4) :621-643
[5]  
[Anonymous], 1988, PHASE TRANSITIONS CR
[6]  
Baxter R. J., 2007, EXACTLY SOLVED MODEL
[7]   COLLAPSE TRANSITION IN A SIMPLE POLYMER MODEL - EXACT RESULTS [J].
BINDER, PM ;
OWCZAREK, AL ;
VEAL, AR ;
YEOMANS, JM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (18) :L975-L979
[8]   A COLLAPSE TRANSITION IN A DIRECTED WALK MODEL [J].
BRAK, R ;
GUTTMANN, AJ ;
WHITTINGTON, SG .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (09) :2437-2446
[9]  
Brak R., UNPUB
[10]   LOCALIZATION-DELOCALIZATION TRANSITION IN A SOLID-ON-SOLID MODEL WITH A PINNING POTENTIAL [J].
BURKHARDT, TW .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1981, 14 (03) :L63-L68