Understanding the Dynamics of Glass-forming Liquids with Random Pinning within the Random First Order Transition Theory

Abstract

Extensive computer simulations are performed for a few model glass-forming liquids in both two and three dimensions to study their dynamics when a randomly chosen fraction of particles are frozen in their equilibrium positions. For all the studied systems, we find that the temperature-dependence of the $\alpha$ relaxation time extracted from an overlap function related to the self part of the density autocorrelation function can be explained within the framework of the Random First Order Transition (RFOT) theory of the glass transition. We propose a scaling description to rationalize the simulation results and show that our data for the $\alpha$ relaxation time for all temperatures and pin concentrations are consistent with this description. We find that the fragility parameter obtained from fits of the temperature dependence of the $\alpha$ relaxation time to the Vogel-Fulcher-Tammann (VFT) form decreases by almost an order of magnitude as the pin concentration is increased from zero. Our scaling description relates the fragility parameter to the static length scale of RFOT and thus provides a physical understanding of fragility within the framework of the RFOT theory. Implications of these findings for the values of the exponents appearing in the RFOT theory are discussed.

JCP 2016 ( in press )

References in corpus (10)

• Theoretical perspective on the glass transition and amorphous materials
• Supercooled Liquids for Pedestrians
• Inhomogeneous Mode-Coupling Theory and Growing Dynamic Length in Supercooled Liquids
• Growing length and time scales in glass forming liquids
• Understanding fragility in supercooled Lennard-Jones mixtures. I. Locally preferred structures
• Compressing nearly hard sphere fluids increases glass fragility
• Growing Dynamical Facilitation on Approaching the Random Pinning Colloidal Glass Transition
• Dependence of the fragility of a glass former on the softness of interparticle interactions
• Energy Landscape, Anti-Plasticization and Polydispersity Induced Crossover of Heterogeneity in Supercooled Polydisperse Liquids
• Non-linear dynamic response of glass-forming liquids to random pinning

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• Pinning Susceptibility : A Novel Method to Study Growth of Amorphous Order in Glass-forming Liquids
• Possible Universal Relation Between Short time $\beta$-relaxation and Long time $\alpha$-relaxation in Glass-forming Liquids
• Effects of random pinning on the potential energy landscape of a supercooled liquid
• Low-Frequency Vibrational States in Ideal Glasses with Random Pinning
• Thermodynamics and its correlation with dynamics in a mean-field model and pinned systems: A comparative study using two different methods of entropy calculation
• Glassy phases of the Gaussian Core Model
• Creating equilibrium glassy states via random particle bonding
• Significance of the nature of disorder on the universal features of the spatio-temporal correlations of two-dimensional Coulomb-clusters
• Configurational Entropy of Self Propelled Glass Formers