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

2016/08/26 by Ghosh, Subhro, Lebowitz, Joel L. · 2 citations
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.1608.07496

Abstract

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

Cited by

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

Related

• Hyperuniformity and generalized fluctuations at Jamming
• Quantifying when hyperuniformity of a many-particle system leads to uniformity across length scales
• Hyperuniform random measures, transport and rigidity
• Rigidity of the three-dimensional hierarchical Coulomb gas
• Hyperuniformity and conservation laws in non-equilibrium systems