Exact partition functions of a polymer on a square lattice up to chain length 38

24th IUPAP Conference on Computational Physics

物理学;计算机科学

Lee, Jae Hwan^1 ; Kim, Seung-Yeon^2 ; Lee, Julian^1

School of Systems Biomedical Science, Department of Bioinformatics and Life Science, Soongsil University, Seoul 156-743, Korea, Republic of^1

School of Liberal Arts and Sciences, Korea National University of Transportation, Chungju 380-702, Korea, Republic of^2

关键词: Collapse transitions;    Energy value;    Lattice polymers;    Partition function zeros;    Partition functions;    Positive real;    Scaling behavior;    Square lattices;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/454/1/012083/pdf
DOI  :  10.1088/1742-6596/454/1/012083

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

Collapse transition of the lattice polymer on a square lattice is studied by calculating the exact partition functions up to chain length 38; they are obtained by enumerating the number of possible conformations for each energy value. We observe that the locus of partition function zeros approaches the positive real axis as the chain length increases, providing evidence of the collapse transition. The crossover exponent and the transition temperature are estimated from the scaling behavior of the first partition function zeros with increasing chain length.