论文标题
免费的XY模型
The free and freer XY models
论文作者
论文摘要
我们研究了XY模型的两个版本，其中旋转和相互作用拓扑也可以更改。在免费的XY模型中，链接的数量是固定的，但它们在网络中的位置却没有。我们还研究了一个更轻松的版本，即使允许链接的数量变化，我们也称其为自由XY模型。当相互作用网络足够密集时，两个模型都具有旋转配置和网络结构中可见的相变。自由XY模型中的低温相的特征是指向相同方向的旋转紧密连接，并且与其余的旋转分离。对于自由XY模型，低温相几乎完全连接。在这两个模型中，描述磁顺序的指数主要与标准XY模型的平均场理论值一致。
We study two versions of the XY model where the spins but also the interaction topology is allowed to change. In the free XY model, the number of links is fixed, but their positions in the network are not. We also study a more relaxed version where even the number of links is allowed to vary, we call it the freer XY model. When the interaction networks are dense enough, both models have phase transitions visible both in spin configurations and the network structure. The low-temperature phase in the free XY model, is characterized by tightly connected clusters of spins pointing in the same direction, and isolated spins disconnected from the rest. For the freer XY model the low-temperature phase is almost completely connected. In both models, exponents describing the magnetic ordering are mostly consistent with values of the mean-field theory of the standard XY model.
