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Title: Viscoelastic relaxation and topological fluctuations in glass-forming liquids

Journal Article · · Journal of Chemical Physics
DOI: https://doi.org/10.1063/5.0189938 · OSTI ID:2324056

In this study, a method for characterizing the topological fluctuations in liquids is proposed. This approach exploits the concept of the weighted gyration tensor of a collection of particles and permits the definition of a local configurational unit (LCU). The first principal axis of the gyration tensor serves as the director of the LCU, which can be tracked and analyzed by molecular dynamics simulations. Analysis of moderately supercooled Kob–Andersen mixtures suggests that orientational relaxation of the LCU closely follows viscoelastic relaxation and exhibits a two-stage behavior. The slow relaxing component of the LCU corresponds to the structural, Maxwellian mechanical relaxation. Additionally, it is found that the mean curvature of the LCUs is approximately zero at the Maxwell relaxation time with the Gaussian curvature being negative. This observation implies that structural relaxation occurs when the configurationally stable and destabilized regions interpenetrate each other in a bicontinuous manner. Finally, the mean and Gaussian curvatures of the LCUs can serve as reduced variables for the shear stress correlation, providing a compelling proof of the close connection between viscoelastic relaxation and topological fluctuations in glass-forming liquids.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Spallation Neutron Source (SNS); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Sciences (CNMS)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE); Ministry of Science and Technology of Taiwan (MOST)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
2324056
Alternate ID(s):
OSTI ID: 2538506
Journal Information:
Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 9 Vol. 160; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (63)

Slow dynamics of a tagged particle in a supercooled liquid journal December 2015
Testing mode-coupling theory for a supercooled binary Lennard-Jones mixture. II. Intermediate scattering function and dynamic susceptibility journal October 1995
The Rich Legacy of Half a Century of the Wiener Index book January 2002
Shear Relaxation Times of Simple Fluids journal April 1966
Computing the viscosity of supercooled liquids. II. Silica and strong-fragile crossover behavior journal October 2009
A new look at the atomic level virial stress: on continuum-molecular system equivalence journal September 2003
Collective motion in liquids journal March 1969
The Kissing Problem in Three Dimensions journal October 2005
Shape distributions of Gaussian molecules journal February 1985
Atomic Level Stresses in Solids and Liquids journal November 1987
Democratic Particle Motion for Metabasin Transitions in Simple Glass Formers journal February 2006
Testing mode-coupling theory for a supercooled binary Lennard-Jones mixture I: The van Hove correlation function journal May 1995
Hidden structure in liquids journal February 1982
Measurement of growing dynamical length scales and prediction of the jamming transition in a granular material journal March 2007
Dynamics of highly supercooled liquids: Heterogeneity, rheology, and diffusion journal September 1998
Analysis of Classical Statistical Mechanics by Means of Collective Coordinates journal April 1958
IV. On the dynamical theory of gases journal January 1867
Spatially heterogeneous dynamics investigated via a time-dependent four-point density correlation function journal October 2003
Mesoscopic two-point collective dynamics of glass-forming liquids journal September 2023
Distance-as-time in physical aging journal November 2022
Computing the viscosity of supercooled liquids journal June 2009
Dynamics of viscoplastic deformation in amorphous solids journal June 1998
Structural Determination of Paraffin Boiling Points journal January 1947
Canonical dynamics: Equilibrium phase-space distributions journal March 1985
Mechanical responses and stress fluctuations of a supercooled liquid in a sheared non-equilibrium state journal April 2012
The origin of persistent shear stress in supercooled liquids journal July 2012
Collective Coordinates in Classical Systems journal August 1967
Determining Gyration Tensor of Orienting Macromolecules through Their Scattering Signature journal June 2019
The role of local structure in dynamical arrest journal February 2015
Implementing molecular dynamics on hybrid high performance computers – short range forces journal April 2011
Scaling Behavior in the β -Relaxation Regime of a Supercooled Lennard-Jones Mixture journal September 1994
Spontaneous and induced dynamic fluctuations in glass formers. I. General results and dependence on ensemble and dynamics journal May 2007
Universal Features of Dynamic Heterogeneity in Supercooled Liquids journal March 2014
Time-dependent, four-point density correlation function description of dynamical heterogeneity and decoupling in supercooled liquids journal January 2000
Visualization and Mathematics III book January 2003
Configuration Statistics of Gaussian Molecules journal January 1980
Phase Diagram of Kob-Andersen-Type Binary Lennard-Jones Mixtures journal April 2018
Formulas for determining local properties in molecular‐dynamics simulations: Shock waves journal January 1982
Stretched and compressed exponentials in the relaxation dynamics of a metallic glass-forming melt journal December 2018
Scattering of Slow Neutrons by a Liquid journal June 1958
A unified formulation of the constant temperature molecular dynamics methods journal July 1984
Dynamical susceptibility of glass formers: Contrasting the predictions of theoretical scenarios journal April 2005
Local symmetry predictors of mechanical stability in glasses journal March 2022
Small Energy Transfer Scattering of Cold Neutrons from Liquid Argon journal October 1967
Spatiotemporal mapping of mesoscopic liquid dynamics journal February 2021
Role of the Lifetime of Dynamical Heterogeneity in the Frequency-Dependent Stokes–Einstein Relation of Supercooled Liquids journal September 2010
Emergent solidity of amorphous materials as a consequence of mechanical self-organisation journal September 2020
Quantitative test of the mode-coupling theory of the ideal glass transition for a binary Lennard-Jones system journal January 1997
Fast Parallel Algorithms for Short-Range Molecular Dynamics journal March 1995
Clipped random wave analysis of isometric lamellar microemulsions journal April 2000
Elementary Excitations and Crossover Phenomenon in Liquids journal May 2013
On shape asymmetry of Gaussian molecules journal July 1990
Liquid dynamics and inelastic scattering of neutrons journal January 1959
Approximate analytical description of the nonaffine response of amorphous solids journal May 2011
The fluctuation-dissipation theorem journal January 1966
Is There a Growing Correlation Length near the Glass Transition? journal June 1991
Perspective: Supercooled liquids and glasses journal August 2012
Thirty Milliseconds in the Life of a Supercooled Liquid journal December 2022
Microscopic Origin of Shear Relaxation in a Model Viscoelastic Liquid journal February 2015
Qualitatively different collective and single-particle dynamics in a supercooled liquid journal December 2015
Direct Experimental Evidence of a Growing Length Scale Accompanying the Glass Transition journal December 2005
LAMMPS - a flexible simulation tool for particle-based materials modeling at the atomic, meso, and continuum scales journal February 2022
Equilibrium bicontinuous structure journal September 1976