Visualizing slow internal relaxations in a two-dimensional glassy system

Chen, Yanshuang; Ye, Zefang; Wang, Kexin; Huang, Jiping; Tong, Hua; Jin, Yuliang; Chen, Ke; Tanaka, Hajime; Tan, Peng

doi:10.1038/s41567-023-02016-4

Cited by 11 publications

(1 citation statement)

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“…They may also have different sizes and different shapes, and there are friction forces between the contacting particles (see, for example, Refs. [65,85,87,88] for a glimpse of recent simulation and experimental results). But we feel it may be plausible to expect that the kinetic constraints encountered by the particles during the translational and rotational motions will also bring certain global constraint to the microscopic spatial configurations of the structural glass system, similar to the K-core-absence constraint induced by the kinetic rules of the FA model.…”

Section: Discussionmentioning

confidence: 99%

K-core attack, equilibrium K-core, and kinetically constrained spin system

Zhou 周

2024

Chinese Phys. B

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Kinetically constrained spin systems are toy models of supercooled liquids and amorphous solids. In this Perspective, we revisit the prototypical Fredrickson-Andersen (FA) kinetically constrained model from the viewpoint of K-core combinatorial optimization. Each kinetic cluster of the FA system, containing all the mutually visitable microscopic occupation configurations, is exactly the solution space of a specific instance of the K-core attack problem. The whole set of different jammed occupation patterns of the FA system is the configuration space of an equilibrium K-core problem. Based on recent theoretical results achieved on the K-core attack and equilibrium K-core problems, we discuss the thermodynamic spin glass phase transitions and the maximum occupation density of the fully unfrozen FA kinetic cluster, and the minimum occupation density and extreme vulnerability of the partially frozen (jammed) kinetic clusters. The equivalence between K-core attack and the fully unfrozen FA kinetic cluster also implies a new way of sampling K-core attack solutions.

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Section: Discussionmentioning

confidence: 99%