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arXiv · cond-mat/9603193

Two-dimensional oriented self-avoiding walks with parallel contacts

G. T. Barkema·S. Flesia
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Abstract

Oriented self-avoiding walks (OSAWs) on a square lattice are studied, with binding energies between steps that are oriented parallel across a face of the lattice. By means of exact enumeration and Monte Carlo simulation, we reconstruct the shape of the partition function and show that this system features a first-order phase transition from a free phase to a tight-spiral phase at $β_c=\log(μ)$, where $μ=2.638$ is the growth constant for SAWs. With Monte Carlo simulations we show that parallel contacts happen predominantly between a step close to the end of the OSAW and another step nearby; this appears to cause the expected number of parallel contacts to saturate at large lengths of the OSAW.

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G. T. Barkema, S. Flesia. 1996-03-29. Two-dimensional oriented self-avoiding walks with parallel contacts. https://doi.org/10.1007/bf02174210

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