Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-01-09
Journal of Chemical Physics 133 (2010) 114106
Physics
Condensed Matter
Statistical Mechanics
17 pages, 5 figures
Scientific paper
10.1063/1.3486176
We study the collapse transition of the lattice homopolymer on a square lattice by calculating the exact partition function zeros. The exact partition function is obtained by enumerating the number of possible conformations for each energy value, and the exact distributions of the partition function zeros are found in the complex temperature plane by solving a polynomial equation. We observe that the locus of zeros closes in on the positive real axis as the chain length increases, providing the evidence for the onset of the collapse transition. By analyzing the scaling behavior of the first zero with the polymer length, we estimate the transition temperature and the crossover exponent.
Kim Seung-Yeon
Lee Jae Hwan
Lee Julian
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