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arXiv · 1012.1177

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

Sergio Caracciolo·Marco Gherardi·Mauro Papinutto·Andrea Pelissetto
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Abstract

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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Sergio Caracciolo, Marco Gherardi, Mauro Papinutto, Andrea Pelissetto. 2010-12-06. Geometrical Properties of Two-Dimensional Interacting Self-Avoiding Walks at the Theta-Point. https://doi.org/10.1088/1751-8113/44/11/115004

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