Two-dimensional lattice polymers: adaptive windows simulations
arXiv:0810.0739 · doi:10.1016/j.cpc.2008.12.015
Abstract
We report a numerical study of self-avoiding polymers on the square lattice, including an attractive potential between nonconsecutive monomers. Using Wang-Landau sampling (WLS) with adaptive windows, we obtain the density of states for chains of up to N=300 monomers and associated thermodynamic quantities. The method enables one to simulate accurately the low-temperature regime, which is virtually inaccessible using traditional methods. Instead of defining fixed energy windows, as in usual WLS, this method uses windows with boundaries that depend on the set of energy values on which the histogram is flat at a given stage of the simulation. Shifting the windows each time the modification factor is reduced, we eliminate border effects that arise in simulations using fixed windows.
8 pages, 5 figures
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- 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
- Wang-Landau sampling: a criterion for halting the simulations
- Parallel Algorithm for Calculation of the Exact Partition Function of a Lattice Polymer
- Nature of the collapse transition in interacting self-avoiding trails
- The Rubber Band Revisited: Wang-Landau Simulation
- Critical behavior of hard-core lattice gases: Wang-Landau sampling with adaptive windows