Geometrical Properties of Two-Dimensional Interacting Self-Avoiding Walks at the Theta-Point

Details Geometrical Properties of Two-Dimensional Interacting Self-Avoiding Walks at the Theta-Point Geometrical Properties of Two-Dimensional Interacting Self-Avoiding Walks at the Theta-Point

2010-12-06

arxiv.org/abs/1012.1177v1

J.Phys.A44:115004,2011

Physics

Condensed Matter

Soft Condensed Matter

23 pages, 4 figures

Scientific paper

10.1088/1751-8113/44/11/115004

We perform a Monte Carlo simulation of two-dimensional N-step interacting self-avoiding walks at the theta point, with lengths up to N=3200. We compute the critical exponents, verifying the Coulomb-gas predictions, the theta-point temperature T_theta = 1.4986(11), and several invariant size ratios. Then, we focus on the geometrical features of the walks, computing the instantaneous shape ratios, the average asphericity, and the end-to-end distribution function. For the latter quantity, we verify in detail the theoretical predictions for its small- and large-distance behavior.

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