Random Pinning Glass Model

Abstract

Glass transition where viscosity of liquids increases dramatically upon decrease of temperature without any major change in structural properties, remains one of the most challenging problems in condensed matter physics (Cavagna, 2009; Berthier and Biroli, 2011) in spite of tremendous research efforts in last decades. On the other hand disordered freezing of spins in a magnetic materials with decreasing temperature, the so-called spin glass transition, is relatively better understood (Mezard, Parisi and Virasoro, 1987; Castellani and Cavagna, 2005). Previously found similarity between some spin glass models with the structural glasses (Kirkpatrick and Thirumalai, 1987; Kirkpatrick and Wolynes, 1987; Kirkpatrick and Wolynes, 1987; Franz and Parisi, 1999; Moore and Drossel, 2002) inspired development of theories of structural glasses (Kirkpatrick, Thirumalai and Wolynes, 1989; Barrat, Franz and Parisi, 1997; Mézard and Parisi, 1999; Lubchenko and Wolynes, 2007; Biroli and Bouchaud, 2012) based on the scenario of spin glass transition. This scenario though looks very appealing is still far from being well established. One of the main differences between standard spin systems to molecular systems is the absence of quenched disorder and the presence of translational invariance: it often assumed that this difference is not relevant, but this conjecture is still far from being established. The quantities, which are well defined and characterized for spin models, are not easily calculable for molecular glasses due to the lack of quenched disorder which breaks the translational invariance in the system and the characterization of the similarity between the spin and the structural glass transition remained an elusive subject still now. In this study we introduced a model structural glass with built in quenched disorder which alleviates this main difference between the spin and molecular glasses thereby helping us to compare these two systems: the possibility of producing a good thermalization at rather low temperatures is one of the advantages of this model.

Submitted to PNAS with 7 pages 5 figures and Supplementary Materials

References in corpus (13)

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Cited by in corpus (28)

• Multidimensional Stationary Probability Distribution for Interacting Active Particles
• Probing a liquid to glass transition in equilibrium
• A Topologically Driven Glass in Ring Polymers
• Glassiness and Heterogeneous Dynamics in Dense Solutions of Ring Polymers
• The race to the bottom: approaching the ideal glass?
• Probing the non-Debye low frequency excitations in glasses through random pinning
• Assessing the role of static lengthscales behind glassy dynamics in polydisperse hard disks
• Distribution of Diffusion Constants and Stokes-Einstein Violation in supercooled liquids
• Deconstructing the glass transition through critical experiments on colloids
• Mean field theory of the swap Monte Carlo algorithm
• Universality Classes of Critical Points in Constrained Glasses
• Non-linear dynamic response of glass-forming liquids to random pinning
• Glassy dynamics of partially pinned fluids: an alternative mode-coupling approach
• Dynamical correlations in a glass-former with randomly pinned particles
• Active Brownian Particles in Random and Porous Environments
• Investigating amorphous order in stable glasses by random pinning
• Understanding Stokes-Einstein Relation in Supercooled Liquids using Random Pinning
• Relation between heterogeneous frozen regions in supercooled liquids and non-Debye spectrum in the corresponding glasses
• Correlation lengths in the language of computable information
• Simple physics of the partly pinned fluid systems
• Glassy phases of the Gaussian Core Model
• Effective Trap-like Activated Dynamics in a Continuous Landscape
• Specific heat anomaly in a supercooled liquid with amorphous boundary conditions
• First Principle Computation of Random Pinning Glass Transition, Glass Cooperative Length-Scales and Numerical Comparisons
• Self-sustained Clusters and Ergodicity Breaking in Spin Models
• Significance of the nature of disorder on the universal features of the spatio-temporal correlations of two-dimensional Coulomb-clusters
• Improved field theoretical approach to noninteracting Brownian particles in a quenched random potential
• Low-frequency excitations and their localization properties in glasses