Exact partition function zeros and the collapse transition of a two-dimensional lattice polymer
arXiv:1101.1661 · doi:10.1063/1.3486176
Abstract
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.
17 pages, 5 figures
References in corpus (3)
Cited by in corpus (10)
- Exact Partition Function Zeros of the Wako-Saito-Muñoz-Eaton Protein Model
- Exact Partition Function Zeros of a Polymer on a Simple-Cubic Lattice
- Geometrical Properties of Two-Dimensional Interacting Self-Avoiding Walks at the Theta-Point
- Collapse transition of a square-lattice polymer with next nearest-neighbor interaction
- Parallel Algorithm for Calculation of the Exact Partition Function of a Lattice Polymer
- Critical Behaviour of Magnetic Polymers in Two and Three Dimensions
- Analytic Partition Function Zeros of the Wako-Saito-Munoz-Eaton beta-hairpin Model
- Low temperature behavior of finite-size one-dimensional Ising model and the partition function zeros
- Monte Carlo simulations of polymers with nearest- and next nearest-neighbor interactions on square and cubic lattices
- Phase diagram of the Wako-Saito-Munoz-Eaton beta-hairpin Model obtained with partition function zeros