Abstract
We consider oriented self-avoiding walks on the square lattice with different interactions between steps depending on their relative parallel or anti-parallel orientations. We derive rigorous bounds on the free energy and prove the existence of a phase transition. By means of exact enumeration and Monte Carlo simulation, we study the phase diagram and the mean number of contacts. We show that the mean number of anti-parallel contacts increases linearly with the number of steps, while the mean number of parallel contacts asymptotically approach a constant.
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Flesia, S. (1998). Oriented Self-Avoiding Walks with Orientation-Dependent Interactions. In: Whittington, S.G. (eds) Numerical Methods for Polymeric Systems. The IMA Volumes in Mathematics and its Applications, vol 102. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1704-6_7
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DOI: https://doi.org/10.1007/978-1-4612-1704-6_7
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