复制品
统计物理学
复制技巧
重整化群
过冷
哈密顿量(控制论)
组态熵
对称性破坏
伊辛模型
熵(时间箭头)
物理
随机性
旋转玻璃
平均场理论
随机场
热力学
凝聚态物理
数学
量子力学
统计
艺术
数学优化
视觉艺术
作者
Jacob D. Stevenson,Aleksandra M. Walczak,Randall W. Hall,Peter G. Wolynes
摘要
By defining a spatially varying replica overlap parameter for a supercooled liquid referenced to an ensemble of fiducial liquid state configurations, we explicitly construct a constrained replica free energy functional that maps directly onto an Ising Hamiltonian with both random fields and random interactions whose statistics depend on the liquid structure. Renormalization group results for random magnets when combined with these statistics for the Lennard-Jones glass suggest that discontinuous replica symmetry breaking would occur if a liquid with short range interactions could be equilibrated at a sufficiently low temperature where its mean field configurational entropy would vanish, even though the system strictly retains a finite configurational entropy.
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