First Order Phase Transition of a Long Polymer Chain

Details First Order Phase Transition of a Long Polymer Chain First Order Phase Transition of a Long Polymer Chain

2010-11-02

arxiv.org/abs/1011.0637v1

J. Phys. A: Math. Theor. 44(2011) 065004

Physics

Condensed Matter

Soft Condensed Matter

11 pages, 7 figures

Scientific paper

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.

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