Monte Carlo study of the interacting self-avoiding walk model in three dimensions

被引:279
作者
Tesi, MC
vanRensburg, EJJ
Orlandini, E
Whittington, SG
机构
[1] YORK UNIV,DEPT MATH,N YORK,ON M3J 1P3,CANADA
[2] UNIV OXFORD,OXFORD OX1 3NP,ENGLAND
关键词
self-avoiding walks; lattice models; Markov chains; Monte Carlo; phase transitions;
D O I
10.1007/BF02189229
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider self-avoiding walks on the simple cubic lattice in which neighboring pairs of vertices of the walk (not connected by an edge) have an associated pair-wise additive energy. If the associated force is attractive, then the walk can collapse From a coil to a compact ball. We describe two Monte Carlo algorithms which we used to investigate this collapse process, and the properties of the walk as a function of the energy or temperature. We report results about the thermodynamic and configurational properties of the walks and estimate the location of the collapse transition.
引用
收藏
页码:155 / 181
页数:27
相关论文
共 40 条
[1]  
[Anonymous], 1966, SOME THEORY SAMPLING
[2]  
[Anonymous], 1979, Monte Carlo Methods, DOI DOI 10.1007/978-94-009-5819-7
[3]   MULTICANONICAL ENSEMBLE - A NEW APPROACH TO SIMULATE 1ST-ORDER PHASE-TRANSITIONS [J].
BERG, BA ;
NEUHAUS, T .
PHYSICAL REVIEW LETTERS, 1992, 68 (01) :9-12
[4]   A GENERAL LIMITATION ON MONTE-CARLO ALGORITHMS OF METROPOLIS TYPE [J].
CARACCIOLO, S ;
PELISSETTO, A ;
SOKAL, AD .
PHYSICAL REVIEW LETTERS, 1994, 72 (02) :179-182
[5]  
CARACCIOLO S, 1994, MONTE CARLO METHODS
[6]   CONFORMATION OF A POLYMER-CHAIN AT THE THETA'-POINT - CONNECTION TO THE EXTERNAL PERIMETER OF A PERCOLATION CLUSTER [J].
CONIGLIO, A ;
JAN, N ;
MAJID, I ;
STANLEY, HE .
PHYSICAL REVIEW B, 1987, 35 (07) :3617-3620
[7]  
DEGENNES PG, 1975, J PHYS LETT-PARIS, V36, pL55, DOI 10.1051/jphyslet:0197500360305500
[8]   COLLAPSE OF A FLEXIBLE POLYMER CHAIN-II [J].
DEGENNES, PG .
JOURNAL DE PHYSIQUE LETTRES, 1978, 39 (17) :L299-L301
[9]   GEOMETRY OF POLYMER-CHAINS NEAR THE THETA-POINT AND DIMENSIONAL REGULARIZATION [J].
DUPLANTIER, B .
JOURNAL OF CHEMICAL PHYSICS, 1987, 86 (07) :4233-4244
[10]   TRICRITICAL POLYMER-CHAINS IN OR BELOW 3 DIMENSIONS [J].
DUPLANTIER, B .
EUROPHYSICS LETTERS, 1986, 1 (10) :491-498