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

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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http://hal.in2p3.fr/in2p3-00563805
Contributor : Emmanuelle Vernay <>
Submitted on : Monday, February 7, 2011 - 12:09:40 PM
Last modification on : Monday, July 20, 2020 - 9:18:27 AM

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S. Caracciolo, M. Gherardi, M. Papinutto, A. Pelissetto. Geometrical Properties of Two-Dimensional Interacting Self-Avoiding Walks at the Theta-Point. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2011, 44, pp.115004. ⟨10.1088/1751-8113/44/11/115004⟩. ⟨in2p3-00563805⟩

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