Study on the ground states of a square-lattice polymer by using exhaustive enumeration

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• 作者：Jae Hwan Lee ; Julian Lee ; Seung-Yeon Kim
• 关键词：Lattice polymer ; Ground ; state entropy
• 刊名：Journal of the Korean Physical Society
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：69
• 期：10
• 页码：1518-1522
• 全文大小：
• 刊物主题：Physics, general; Theoretical, Mathematical and Computational Physics; Particle and Nuclear Physics;
• 出版者：The Korean Physical Society
• ISSN：1976-8524
• 卷排序：69

文摘

We exhaustively enumerate the ground-state conformations of polymers with attractive nearest-neighbor interactions on a square lattice. We find that when the ground-state number is considered as a function of the chain length, local minima appear at magic lengths. However, the ground-state entropy per monomer does not vanish in the thermodynamic limit when an extrapolation is performed with the magic-length data, implying that the number of ground-state conformations grows exponentially. We also study the entropy difference between the ground and the first-excited states. The entropy difference per monomer diverges in the thermodynamic limit, indicating that the zero-tail of the specific heat is modified in the thermodynamic limit.