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arXiv · 1011.0637

First Order Phase Transition of a Long Polymer Chain

David Aristoff·Charles Radin
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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.

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David Aristoff, Charles Radin. 2010-11-02. First Order Phase Transition of a Long Polymer Chain. https://doi.org/10.1088/1751-8113/44/6/065004

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