A COLLAPSE TRANSITION IN A DIRECTED WALK MODEL

被引:53
作者
BRAK, R
GUTTMANN, AJ
WHITTINGTON, SG
机构
[1] Dept. of Math., Melbourne Univ., Parkville, Vic.
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1992年 / 25卷 / 09期
关键词
D O I
10.1088/0305-4470/25/9/017
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider a directed walk model of linear polymers in dilute solution, with an energy associated with the number of near-neighbour contacts in the walk. For this model we can derive an exact expression for the generating function in two variables conjugate to the number of steps and the number of contacts. We discuss the analytic structure of this generating function and identify the transition corresponding to collapse.
引用
收藏
页码:2437 / 2446
页数:10
相关论文
共 15 条
[1]   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
[2]   SPECIFIC-HEAT AND CROSSOVER EXPONENTS AT THE TRICRITICAL COLLAPSE OF TRAILS [J].
CHANG, IS ;
GUHA, A ;
LIM, HA ;
SHAPIR, Y .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (10) :L559-L562
[3]   INTERNAL TRANSITION IN AN INFINITELY LONG POLYMER-CHAIN [J].
FINSY, R ;
JANSSENS, M ;
BELLEMANS, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1975, 8 (10) :L106-L109
[4]  
HILL TL, 1956, STATISTICAL MECHANIC, pCH3
[5]   EXAMINATION OF THE THETA-POINT FROM EXACT ENUMERATION OF SELF-AVOIDING WALKS [J].
ISHINABE, T .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (16) :3181-3187
[6]   EXACT CALCULATION OF PARTITION FUNCTION FOR A GENERALIZED MODEL OF 2-DIMENSIONAL POLYMER CRYSTALLIZATION BY CHAIN FOLDING [J].
LAURITZEN, JI ;
ZWANZIG, R .
JOURNAL OF CHEMICAL PHYSICS, 1970, 52 (07) :3740-+
[7]   MONTE CARLO STUDIES OF CONFIGURATIONAL AND THERMODYNAMIC PROPERTIES OF SELF-INTERACTING LINEAR POLYMER CHAINS [J].
MAZUR, J ;
MCCRACKIN, FL .
JOURNAL OF CHEMICAL PHYSICS, 1968, 49 (02) :648-+
[8]   COMPUTER-SIMULATION OF TRAILS ON A SQUARE LATTICE .2. FINITE TEMPERATURES AND THE COLLAPSE TRANSITION [J].
MEIROVITCH, H ;
LIM, HA .
PHYSICAL REVIEW A, 1989, 39 (08) :4186-4194
[9]  
NORDHOLM KS, 1973, J STAT PHYS, V9, P235
[10]   STUDY OF THE O POINT BY ENUMERATION OF SELF-AVOIDING WALKS ON THE TRIANGULAR LATTICE [J].
PRIVMAN, V .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (16) :3287-3297