Parallel algorithm for calculation of the exact partition function of a lattice polymer

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초록

We develop a parallel algorithm that calculates the exact partition function of a lattice polymer, by enumerating the number of conformations for each energy level. An efficient parallelization of the calculation is achieved by classifying the conformations according to the shape of the box spanned by a conformation, and enumerating only those in a given box at a time. The calculation time for each box is reduced by preventing the conformations related by symmetries from being generated more than once. The algorithm is applied to study the collapse transition of a lattice homopolymer on a square lattice, by calculating the specific heat for chain lengths up to 36. (C) 2011 Elsevier B.V. All rights reserved.

키워드

Lattice polymer; Exact enumeration; Parallel computation; SELF-AVOIDING WALKS; DIMENSIONAL LINEAR-POLYMERS; THETA-POINT EXPONENTS; SQUARE LATTICE; COLLAPSE TRANSITION; UNIVERSALITY CLASSES; FUNCTION ZEROS; CHAIN; SIMULATIONS; ENUMERATION
제목
Parallel algorithm for calculation of the exact partition function of a lattice polymer
저자
Lee, Jae Hwan; Kim, Seung-Yeon; Lee, Julian
DOI
10.1016/j.cpc.2011.01.004
발행일
2011-04
유형
Article
저널명
Computer Physics Communications
권
182
호
4
페이지
1027 ~ 1033