Data from: Solution of disordered microphases in the Bethe approximation

The periodic microphases that self-assemble in systems with competing short-range attractive and long-range repulsive (SALR) interactions are structurally both rich and elegant. Significant theoretical and computational efforts have thus been dedicated to untangling their properties. By contrast, disordered microphases, which are structurally just as rich but nowhere near as elegant, have not been as carefully considered. Part of the difficulty is that simple mean-field descriptions make a homogeneity assumption that washes away all of their structural features. Here, we study disordered microphases by exactly solving a SALR model on the Bethe lattice. By sidestepping the homogenization assumption, this treatment recapitulates many of the key structural regimes of disordered microphases, including particle and void cluster fluids as well as gelation. This analysis also provides physical insight into the relationship between various structural and thermal observables, between criticality and physical percolation, and between glassiness and microphase ordering.

在兼具短程吸引与长程排斥（short-range attractive and long-range repulsive, SALR）竞争相互作用的体系中，自组装形成的周期性微相在结构上既丰富多样又精巧优美。因此学界已投入大量理论与计算研究工作，以厘清这类微相的各项性质。
相比之下，无序微相虽在结构上同样丰富多样，却远谈不上精巧优美，对其的研究却未得到同等细致的关注。其中一大难点在于，简单的平均场（mean-field）理论会采用均匀性假设，从而抹除了无序微相的所有结构特征。
本文中，我们通过精确求解贝瑟晶格（Bethe lattice）上的SALR模型，对无序微相展开研究。通过规避均匀性假设，本研究方法能够复现无序微相的诸多关键结构态，包括粒子团簇流体、空穴团簇流体以及凝胶化现象。
本分析还为厘清多项关联关系提供了物理视角：包括不同结构与热学可观测物理量之间的关联、临界现象与物理渗流（percolation）之间的关联，以及玻璃化特性与微相有序化之间的关联。