关于稀密耦合复合系统
On composite systems of dilute and dense couplings
摘要：
复合系统，耦合是两种类型的，一个强稀释和弱密集耦合伊辛自旋的组合，通过副本的方法进行检查。稀密部分被认为具有独立的正则无序或均匀的键分布;混合模型的变化参数$γ$沿逆温度$β$，我们分析各自的热力学解决方案。我们描述的变化，在高温下的过渡混合发生，在这些过渡附近，我们确切地分析密集和稀疏模型的竞争效应。利用复制对称性和布居动力学描述了混合系统的低温行为。
英文摘要：
Composite systems, where couplings are of two types, a combination of strong dilute and weak dense couplings of Ising spins, are examined through the replica method. The dilute and dense parts are considered to have independent canonical disordered or uniform bond distributions; mixing the models by variation of a parameter $γ$ alongside inverse temperature $β$ we analyse the respective thermodynamic solutions. We describe the variation in high temperature transitions as mixing occurs; in the vicinity of these transitions we exactly analyse the competing effects of the dense and sparse models. By using the replica symmetric ansatz and population dynamics we described the low temperature behaviour of mixed systems.
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