Two dimensional self-avoiding walk with hydrogen-like bonding: Phase diagram and critical behaviour

Details Two dimensional self-avoiding walk with hydrogen-like bonding: Phase diagram and critical behaviour Two dimensional self-avoiding walk with hydrogen-like bonding: Phase diagram and critical behaviour

2001-10-10

arxiv.org/abs/cond-mat/0110200v1

Physics

Condensed Matter

Statistical Mechanics

22 pages, 13 figures. To appear in Journal of Physics A

Scientific paper

10.1088/0305-4470/34/47/302

The phase diagram for a two-dimensional self-avoiding walk model on the square lattice incorporating attractive short-ranged interactions between parallel sections of walk is derived using numerical transfer matrix techniques. The model displays a collapse transition. In contrast to the standard $\theta$-point model, the transition is first order. The phase diagram in the full fugacity-temperature plane displays an additional transition line, when compared to the $\theta$-point model, as well as a critical transition at finite temperature in the hamiltonian walk limit.

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