First order phase transition of a long polymer chain

David Aristoff, Charles Radin
2011 Journal of Physics A: Mathematical and Theoretical  
We consider a model consisting of a self-avoiding polygon occupying a variable density of the sites of a square lattice. A fixed energy is associated with each $90^\circ$-bend of the polygon. We use a grand canonical ensemble, introducing parameters $\mu$ and $\beta$ to control average density and average (total) energy of the polygon, and show by Monte Carlo simulation that the model has a first order, nematic phase transition across a curve in the $\beta$-$\mu$ plane.
doi:10.1088/1751-8113/44/6/065004 fatcat:vafeoolkmbbu3ektzwh56hiwxe