Two-dimensional lattice polymers: Adaptive windows simulations

Abstract

We report a numerical study of self-avoiding polymers on the square lattice, including an attractive potential between nonconsecutive monomers occupying neighboring lattice sites. 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. Finite size scaling analysis yields a transition temperature of Θ = 1.505 ( 18 ) . WLS with adaptive windows 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 f is reduced, we eliminate border effects that arise in simulations using fixed windows.