长程相互作用简化模型中的相变
Phase transitions in simplified models with long-range interactions
摘要：
我们研究了一些简化的长程相互作用模型中相变的起源。对于环模型，我们表明，一个可能的新的相变预测在最近的一篇论文中Nardini和Casetti从能源景观分析不会发生。而不是这样的相变，我们观察到一个尖锐的，虽然没有任何非解析性，从一个核心晕到一个唯一的核心配置在低能量的空间分布函数的变化。通过引入一类新的可解的简化模型，没有任何临界点的势能，我们表明，一个类似的行为的环模型得到的，与一阶相变从一个几乎均匀的高能量相的一个集群相，和相同的核心晕核心配置过渡在较低的能量。我们讨论了简化模型的这些功能的起源，并表明，第一级相变来自系统的熵作为能量的函数的最大化的序参量，如前所述的Kastner，这似乎是主要的机制造成相变在远程相互作用系统。
英文摘要：
We study the origin of phase transitions in some simplified models with long range interactions. For the ring model, we show that a possible new phase transition predicted in a recent paper by Nardini and Casetti from an energy landscape analysis does not occur. Instead of such phase transitions we observe a sharp, although without any non-analiticity, change from a core-halo to an only core configuration in the spatial distribution functions for low energies. By introducing a new class of solvable simplified models without any critical points in the potential energy, we show that a similar behaviour to the ring model is obtained, with a first order phase transition from an almost homogeneous high energy phase to a clustered phase, and the same core-halo to core configuration transition at lower energies. We discuss the origin of these features of the simplified models, and show that the first order phase transition comes from the maximization of the entropy of the system as a function of energy an an order parameter, as previously discussed by Kastner, which seems to be the main mechanism causing phase transitions in long-range interacting systems.
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