COLLAPSE TRANSITION OF SELF-AVOIDING WALKS ON A SQUARE LATTICE IN THEBULK AND NEAR A LINEAR WALL - THE UNIVERSALITY CLASSES OF THE THETA AND THETA' POINTS
Is. Chang et H. Meirovitch, COLLAPSE TRANSITION OF SELF-AVOIDING WALKS ON A SQUARE LATTICE IN THEBULK AND NEAR A LINEAR WALL - THE UNIVERSALITY CLASSES OF THE THETA AND THETA' POINTS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(5), 1993, pp. 3656-3660
Using the scanning method we study by extensive simulations the theta
transition of self-avoiding walks with nearest-neighbor attractions in
the bulk and near a linear wall on a square lattice. Consistent resul
ts for the two models are obtained for the radius of gyration, but not
for the end-to-end distance. Our results for the exponents nu and gam
ma agree with those derived by Duplantier and Saleur [Phys. Rev. Lett.
59, 539 (1987)] for the theta' model. However, our results for the cr
ossover exponent phi (which constitute upper bounds for the correct va
lue) are significantly-larger than the value of phi(theta'). At the or
dinary point our result for gamma1 is larger (even though not much) th
an the value suggested by Vanderzande, Stella, and Seno [Phys. Rev. Le
tt. 67, 2757 (1991)] for the theta' model.