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Journal of Physics A: Mathematical and Theoretical 44 (2011) 115004
Geometrical Properties of Two-Dimensional Interacting Self-Avoiding Walks at the Theta-Point
S. Caracciolo, M. Gherardi, M. Papinutto1, A. Pelissetto

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.
1 :  LPSC - Laboratoire de Physique Subatomique et de Cosmologie
Physique/Matière Condensée/Matière Molle

Physique/Physique des Hautes Energies - Réseau
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