Geometrical properties of two-dimensional interacting self-avoiding walks at the θ-point
Geometrical properties of two-dimensional interacting self-avoiding walks at the θ-point
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DOI：
10.1088/1751-8113/44/11/115004
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发表时间：
2011-03-18
影响因子：
2.1
通讯作者：
Pelissetto, Andrea
中科院分区：
文献类型：
--
作者：
Caracciolo, Sergio;Gherardi, Marco;Pelissetto, Andrea
我们进行了Monte Carlo模拟的二维N步相互作用的自避免行走在θ点，长度高达N = 3200。我们计算临界指数，验证库仑气体预测，θ点温度T-theta = 1.4986（11），和几个不变的大小比。然后，我们专注于步行的几何特征，计算瞬时形状比，平均非球面度，和端到端的分布函数。对于后者的数量，我们详细验证了其小距离和大距离行为的理论预测。
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 behaviour.