Fluctuations, large deviations and rigidity in hyperuniform systems: a\n brief survey

2016/08/26 by Subhro Ghosh, Joel L. Lebowitz, Ghosh, Subhro +1 · 2 citations
Mathematics · Physics and Astronomy · #Computer science #FOS: Mathematics #FOS: Physical sciences #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Mathematics #Particle system #Physics #Probability (math.PR) #Quantum mechanics #Rigidity (electromagnetism) #Statistical Mechanics (cond-mat.stat-mech) #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #math-ph #math.MP #math.PR

paper · pdf · doi:10.48550/arxiv.1608.07496

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2016/08/26 · arxiv created 2016/12/06 · arxiv updated 2016/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a brief survey of fluctuations and large deviations of particle\nsystems with subextensive growth of the variance. These are called hyperuniform\n(or superhomogeneous) systems. We then discuss the relation between\nhyperuniformity and rigidity. In particular we give sufficient conditions for\nrigidity of such systems in d=1,2.\n

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• Infinite Interacting Brownian Motions and EVI Gradient Flows
• Box-Covariances of Hyperuniform Point Processes

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