Two-dimensional oriented self-avoiding walks with parallel contacts

G. T. Barkema; S. Flesia

doi:10.1007/BF02174210

Two-dimensional oriented self-avoiding walks with parallel contacts

凝聚态物理 2009-10-28 v1

作者: G. T. Barkema , S. Flesia

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摘要

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 $\beta_c=\log(\mu)$ , where $\mu =2.638$ 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.

关键词

random walk theory

引用

@article{arxiv.cond-mat/9603193,
  title  = {Two-dimensional oriented self-avoiding walks with parallel contacts},
  author = {G. T. Barkema and S. Flesia},
  journal= {arXiv preprint arXiv:cond-mat/9603193},
  year   = {2009}
}

备注

12 pages, revtex, 10 separate PostScript figures

Two-dimensional oriented self-avoiding walks with parallel contacts

摘要

关键词

引用

备注

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