2011/05/31 by Ludovic Berthier, Walter Kob · 1 citation
Agricultural and Biological Sciences · Materials Science · Mathematics · Physics and Astronomy · #Classical mechanics #Computer science #Constraint (computer-aided design) #Correlation function (quantum field theory) #Dynamics (music) #Geometry #Glass transition #Material Dynamics and Properties #Mathematics #Mechanics #Physics #Plant and animal studies #Point (geometry) #Position (finance) #Quantum mechanics #Sensory Analysis and Statistical Methods #Set (abstract data type) #Static analysis #Statistical physics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.85.011102
published as Phys. Rev. E 85, 011102 (2012) · v2: Version accepted for publication in Phys. Rev. E
arxiv created 2011/11/29 · openalex publication_date 2012/01/03 · arxiv updated 2012/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We analyze static point-to-set correlations in glass-forming liquids. The generic idea is to freeze the position of a set of particles in an equilibrium configuration and to perform sampling in the presence of this additional constraint. Qualitatively different geometries for the confining set of particles are considered and a detailed comparison of resulting static and dynamic correlation functions is performed. Our results reveal the existence of static spatial correlations not detected by conventional two-body correlators, which appear to be decoupled from, and shorter-ranged than, dynamical length scales characterizing dynamic heterogeneity. We find that the dynamics slows down dramatically under confinement, which suggests new ways to investigate the glass transition. Our results indicate that the geometry in which particles are randomly pinned is the best candidate to study static correlations.