Random pinning in glassy spin models with plaquette interactions

Abstract

We use a random pinning procedure to study amorphous order in two glassy spin models. On increasing the concentration of pinned spins at constant temperature, we find a sharp crossover (but no thermodynamic phase transition) from bulk relaxation to localisation in a single state. At low temperatures, both models exhibit scaling behaviour. We discuss the growing length and time scales associated with amorphous order, and the fraction of pinned spins required to localize the system in a single state. These results, obtained for finite dimensional interacting models, provide a theoretical scenario for the effect of random pinning that differs qualitatively from previous approaches based either on mean-field, mode-coupling, or renormalization group reatments.

15 pages, 9 figs

References in corpus (12)

• Theoretical perspective on the glass transition and amorphous materials
• Glassy dynamics of kinetically constrained models
• Spontaneous and induced dynamic fluctuations in glass-formers I: General results and dependence on ensemble and dynamics
• Rigorous Inequalities between Length and Time Scales in Glassy Systems
• Spontaneous and induced dynamic correlations in glass-formers II: Model calculations and comparison to numerical simulations
• Structure and dynamics in glass-formers: predictability at large length scales
• Mosaic multi-state scenario vs. one-state description of supercooled liquids
• Caging and mosaic lengthscales in plaquette spin models of glasses
• Characterizing order in amorphous systems
• Mode-coupling theory predictions for the dynamical transitions of the partly pinned fluid systems
• Statistical mechanics of homogeneous partly pinned fluid systems
• Fluctuation-dissipation relations in plaquette spin systems with multi-stage relaxation

Cited by in corpus (29)

• Perspective: The Glass Transition
• Direct measurements of growing amorphous order and non-monotonic dynamic correlations in a colloidal glass-former
• Probing a liquid to glass transition in equilibrium
• Growing Dynamical Facilitation on Approaching the Random Pinning Colloidal Glass Transition
• Finite size effects in the dynamics of glass-forming liquids
• Decorrelation of the static and dynamic length scales in hard-sphere glass-formers
• Evidence for a disordered critical point in a glass-forming liquid
• Point-to-set lengths, local structure, and glassiness
• Random Pinning Glass Transition: Hallmarks, Mean-Field Theory and Renormalization Group Analysis
• Arbitrary Dimensional Majorana Dualities and Network Architectures for Topological Matter
• Crossovers in the dynamics of supercooled liquids probed by an amorphous wall
• Geometrical Frustration and Static Correlations in Hard-Sphere Glass Formers
• Equilibrium ultrastable glasses produced by random pinning
• Efficient measurement of point-to-set correlations and overlap fluctuations in glass-forming liquids
• Overlap and activity glass transitions in plaquette spin models with hierarchical dynamics
• Universality Classes of Critical Points in Constrained Glasses
• The melting of stable glasses is governed by nucleation-and-growth dynamics
• Patch-repetition correlation length in glassy systems
• Dynamical correlations in a glass-former with randomly pinned particles
• Static correlations functions and domain walls in glass-forming liquids: the case of a sandwich geometry
• A general approach to systems with randomly pinned particles: unfolding and clarifying the Random Pinning Glass Transition
• Investigating amorphous order in stable glasses by random pinning
• On the relation between kinetically constrained models of glass dynamics and the random first-order transition theory
• Linking dynamical heterogeneity to static amorphous order
• The Fredrickson-Andersen model with random pinning on Bethe lattices and its MCT transitions
• Simple physics of the partly pinned fluid systems
• Structure and dynamics of coupled viscous liquids
• Counting metastable states in a kinetically constrained model using a patch repetition analysis
• Amorphous Order & Non-linear Susceptibilities in Glassy Materials