Simulation of distribution of random walks on a lattice

被引：6

作者：

Jiang, J. G. ^{[1
,2
]}

Huang, Y. N. ^{[1
,2
,3
,4
]}

机构：

[1] Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China

[2] Nanjing Univ, Natl Lab Solid State Microstruct, Nanjing 210093, Peoples R China

[3] Ili Normal Univ, Coll Phys & Elect Informat, Yining 835000, Peoples R China

[4] Ili Normal Univ, Inst Condensed Matter Phys & Design, Yining 835000, Peoples R China

来源：

COMPUTER PHYSICS COMMUNICATIONS | 2009年 / 180卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Density of states; Random walks; Self-avoiding walks; DENSITY-OF-STATES; PHASE-TRANSITIONS; ALGORITHMS;

D O I：

10.1016/j.cpc.2008.09.002

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The flat histogram version of pruned and enriched Rosenbluth method (FLATPERM) is very efficient for Calculating densities of classical states of polymers on a lattice. In this paper the accuracy of this method is tested by comparing Simulations to an exact solution of distribution of random walks on a one-dimensional lattice. The boundary effects of restricting the region of parameter space are investigated as well. Finally by FLATPERM we calculate the distribution of end-to-end distance of self-avoiding walks oil a cubic lattice and simulate the scaling behavior of most probable end-to-end distance. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：177 / 179

页数：3

共 13 条

[1] Multicanonical chain-growth algorithm [J].

Bachmann, M ;

Janke, W .

PHYSICAL REVIEW LETTERS, 2003, 91 (20)

[2] MULTICANONICAL ALGORITHMS FOR 1ST ORDER PHASE-TRANSITIONS [J].

BERG, BA ;

NEUHAUS, T .

PHYSICS LETTERS B, 1991, 267 (02) :249-253

[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] Pruned-enriched Rosenbluth method: Simulations of theta polymers of chain length up to 1,000,000 [J].

Grassberger, P .

PHYSICAL REVIEW E, 1997, 56 (03) :3682-3693

[5] Growth algorithms for lattice heteropolymers at low temperatures [J].

Hsu, HP ;

Mehra, V ;

Nadler, W ;

Grassberger, P .

JOURNAL OF CHEMICAL PHYSICS, 2003, 118 (01) :444-451

[6] Determining the density of states for classical statistical models by a flat-histogram random walk [J].

Landau, DP ;

Wang, F .

COMPUTER PHYSICS COMMUNICATIONS, 2002, 147 (1-2) :674-677

[7] Flat histogram version of the pruned and enriched Rosenbluth method [J].

Prellberg, T ;

Krawczyk, J .

PHYSICAL REVIEW LETTERS, 2004, 92 (12) :120602-1

[8] MONTE-CARLO CALCULATION OF THE AVERAGE EXTENSION OF MOLECULAR CHAINS [J].

ROSENBLUTH, MN ;

ROSENBLUTH, AW .

JOURNAL OF CHEMICAL PHYSICS, 1955, 23 (02) :356-359

[9] Generalization of the Wang-Landau method for off-lattice simulations [J].

Shell, MS ;

Debenedetti, PG ;

Panagiotopoulos, AZ .

PHYSICAL REVIEW E, 2002, 66 (05) :9

[10] Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram [J].

Wang, FG ;

Landau, DP .

PHYSICAL REVIEW E, 2001, 64 (05) :16

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