10-180 David Aristoff and Charles Radin

First order phase transition of a long polymer chain (504K, pdf) Nov 2, 10

Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

Abstract. 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.

Files: 10-180.src( 10-180.comments , 10-180.keywords , flory.pdf.mm )