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

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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 combi-natorial 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.

Fredrickson-Andersen modelK-core attackspin glassjamming

周海军

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Institute of Theoretical Physics,Chinese Academy of Sciences,Beijing 100190,China

MinJiang Collaborative Center for Theoretical Physics,MinJiang University,Fuzhou 350108,China

School of Physical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China

国家自然科学基金国家自然科学基金

1224710412047503

2024

10.1088/1674-1056/ad4329

中国物理B(英文版)
中国物理学会和中国科学院物理研究所

中国物理B(英文版)

CSTPCDEI
影响因子：0.995
ISSN：1674-1056
年,卷(期)：2024.33(6)
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