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Theory for Glassy Behavior of Supercooled Liquid Mixtures

Journal Article · · Physical Review Letters
 [1];  [2];  [3]
  1. Univ. of California, Berkeley, CA (United States)
  2. Univ. of Nottingham (United Kingdom)
  3. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Here, we introduce a model for glassy dynamics in supercooled liquid mixtures. Given the relaxation behavior of individual supercooled liquids, the model predicts the relaxation times of their mixtures as temperature is decreased. The model is based on dynamical facilitation theory for glassy dynamics, which provides a physical basis for relaxation and vitrification of a supercooled liquid. This is in contrast to empirical linear interpolations such as the Gordon-Taylor equation typically used to predict glass transition temperatures of liquid mixtures. To understand the behavior of supercooled liquid mixtures we consider a multicomponent variant of the kinetically constrained East model in which components have a different energy scale and can also diffuse when locally mobile regions, i.e., excitations, are present. Using a variational approach we confirm an effective single component model with a single effective energy scale that best approximates a mixture. When scaled by this single effective energy, we show that experimental relaxation times of many liquid mixtures all collapse onto the "parabolic law" predicted by dynamical facilitation theory. The model can be used to predict transport properties and glass transition temperatures of mixtures of glassy materials, with implications in atmospheric chemistry, biology, and pharmaceuticals.
Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1572838
Alternate ID(s):
OSTI ID: 1560716
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 10 Vol. 123; ISSN 0031-9007; ISSN PRLTAO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (40)

Morphology of mixed primary and secondary organic particles and the adsorption of spectator organic gases during aerosol formation journal March 2010
Ideal copolymers and the second-order transitions of synthetic rubbers. i. non-crystalline copolymers journal September 1952
A hierarchically constrained kinetic Ising model journal February 1991
Amorphous pharmaceutical solids: preparation, characterization and stabilization journal May 2001
Implication of glass transition for the drying and stability of dried foods journal May 1999
Aspects of non-equilibrium in classical and quantum systems: Slow relaxation and glasses, dynamical large deviations, quantum non-ergodicity, and open quantum dynamics journal August 2018
Phase relations and vitrification in saccharide-water solutions and the trehalose anomaly journal April 1989
Glass transition temperatures for simple molecular liquids and their binary solutions journal November 1978
Binary Glass-Forming Materials:  Mixtures of Sorbitol and Glycerol journal July 2004
Relaxation Dynamics in Glycerol−Water Mixtures:  I. Glycerol-Rich Mixtures journal March 2005
Ideal Mixing Behavior of the Debye Process in Supercooled Monohydroxy Alcohols journal May 2005
Corresponding States of Structural Glass Formers journal April 2009
Structural Relaxation Dynamics in Binary Glass-Forming Molecular Liquids with Ideal and Complex Mixing Behavior journal March 2010
Supercooled Liquids and Glasses journal January 1996
Equilibrium and Non-Equilibrium Type β-Relaxations:  d -Sorbitol versus o -Terphenyl journal May 1999
Characteristics and Significance of the Amorphous State in Pharmaceutical Systems journal January 1997
An amorphous solid state of biogenic secondary organic aerosol particles journal October 2010
Glass transition and phase state of organic compounds: dependency on molecular properties and implications for secondary organic aerosols in the atmosphere journal January 2011
Relaxation in glassforming liquids and amorphous solids journal September 2000
On the Temperature Dependence of Cooperative Relaxation Properties in Glass‐Forming Liquids journal July 1965
Coarse-grained microscopic model of glass formers journal August 2003
Calorimetric glass transition explained by hierarchical dynamic facilitation journal March 2013
Glassy dynamics of kinetically constrained models journal June 2003
Relaxation processes in supercooled liquids journal March 1992
Thermodynamics of glasses: a first principles computation journal January 1999
Fast simulation of facilitated spin models journal December 2005
Time scale separation in the low temperature East model: rigorous results journal April 2013
Glassy dynamics in the asymmetrically constrained kinetic Ising chain journal September 2003
Equilibrium Sampling of Hard Spheres up to the Jamming Density and Beyond journal June 2016
Solvation in Space-time: Pretransition Effects in Trajectory Space journal June 2018
Models of Hierarchically Constrained Dynamics for Glassy Relaxation journal September 1984
Glassy Time-Scale Divergence and Anomalous Coarsening in a Kinetically Constrained Spin Chain journal October 1999
Microscopic Theory of Heterogeneity and Nonexponential Relaxations in Supercooled Liquids journal June 2001
Geometrical Explanation and Scaling of Dynamical Heterogeneities in Glass Forming Systems journal July 2002
Mixing Effects for the Structural Relaxation in Binary Hard-Sphere Liquids journal August 2003
Beta Relaxation versus High Frequency Wing in the Dielectric Spectra of a Binary Molecular Glass Former journal June 2004
Excitations Are Localized and Relaxation Is Hierarchical in Glass-Forming Liquids journal November 2011
Dynamics on the Way to Forming Glass: Bubbles in Space-Time journal March 2010
The role of Vitrification in Anhydrobiosis journal October 1998
Evolution of organic aerosol mass spectra upon heating: implications for OA phase and partitioning behavior journal January 2011

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