Two-dimensional oriented self-avoiding walks with parallel contacts
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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 of first-order phase transition from a free phase to a tight-spiral phase atΒ s =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.
Key WordsSelf-avoiding walks oriented walks collapse spiral walks Monte Carlo exact enumeration
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- 2.D. Bennett-Wood, J. L. Cardy, S. Flesia, A. J. Guttmann, and A. L. Owczarek,J. Phys. A 28:5143 (1995).Google Scholar
- 3.S. Flesia,Europhys. Lett. 32:149–154 (1995).Google Scholar
- 4.W. M. Koo,J. Stat. Phys. 81:561 (1995).Google Scholar
- 6.B. Nienhuis,Phys. Rev. Lett. 49:1062 (1982).Google Scholar
- 7.A. Conway, I. G. Enting and A. J. Guttmann,J. Phys. A. 26:1519 (1993).Google Scholar
- 10.D. Zhao and T. Lookman,J. Phys. A 26:1067–1076 (1993).Google Scholar