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Title: Anisotropy of stress correlation in two-dimensional liquids and a pseudospin model

Journal Article · · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
 [1];  [1];  [2]
  1. Univ. of Tennessee, Knoxville, TN (United States)
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)

Liquids are condensed matter in which atoms are strongly correlated in position and momentum. The atomic pair density function (PDF) is used often in describing such correlation. However, elucidation of many properties requires higher degrees of correlation than the pair correlation. For instance, viscosity depends upon the stress correlations in space and time. We examine the cross correlation between the stress correlation at the atomic level and the PDF for two-dimensional liquids. We introduce the concept of the stress-resolved pair distribution function (SRPDF) that uses the sign of atomic-level stress as a selection rule to include particles from density correlations. The connection between SRPDFs and stress correlation function is explained through an approximation in which the shear stress is replaced by a pseudospin. Lastly, we further assess the possibility of interpreting the long-range stress correlation as a consequence of short-range Ising-like pseudospin interactions.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1245354
Alternate ID(s):
OSTI ID: 1225123
Journal Information:
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, Vol. 92, Issue 5; ISSN 1539-3755
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

References (28)

Structure Factor and Radial Distribution Function for Liquid Argon at 85 °K journal June 1973
Neutron Scattering from Liquid Argon journal January 1965
The role of attractive forces in the structure of simple liquids: a theory for small-angle scattering journal July 1981
The shear viscosity of rigid water models journal March 2010
Viscosity calculations of n -alkanes by equilibrium molecular dynamics journal June 1997
Lennard-Jones triple-point bulk and shear viscosities. Green-Kubo theory, Hamiltonian mechanics, and nonequilibrium molecular dynamics journal October 1980
Computation of the viscosity of a liquid from time averages of stress fluctuations journal June 2001
The calculation of the viscosity from the autocorrelation function using molecular and atomic stress tensors journal August 1996
Structural defects in amorphous solids A computer simulation study journal June 1980
Viscosity, Shear Waves, and Atomic-Level Stress-Stress Correlations journal March 2011
The origin of viscosity as seen through atomic level stress correlation function journal January 2013
Nonlocal Nature of the Viscous Transport in Supercooled Liquids: Complex Fluid Approach to Supercooled Liquids journal September 2009
Direct evidence of heterogeneous mechanical relaxation in supercooled liquids journal December 2011
Elastic Signature of Flow Events in Supercooled Liquids Under Shear journal August 2013
Structural Relaxation is a Scale-Free Process journal December 2014
Local elasticity map and plasticity in a model Lennard-Jones glass journal August 2009
Continuum limit of amorphous elastic bodies II: Linear response to a point source force journal July 2004
On the microscopic foundations of elasticity journal November 2002
Scale Separation in Granular Packings: Stress Plateaus and Fluctuations journal April 2006
Anisotropic stress correlations in two-dimensional liquids journal March 2015
Fast Parallel Algorithms for Short-Range Molecular Dynamics journal March 1995
Local structural fluctuations in amorphous and liquid metals: a simple theory of the glass transition journal October 1982
Glass transition in metallic glasses: A microscopic model of topological fluctuations in the bonding network journal July 2007
Atomic level stresses journal August 2011
Local atomic structure of amorphous and crystalline alloys: Computer simulation journal January 1987
Equipartition theorem and the dynamics of liquids journal August 2008
The determination of the elastic field of an ellipsoidal inclusion, and related problems journal August 1957
Ising model of a glass transition journal July 2013

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Curie-Weiss behavior of liquid structure and ideal glass state journal December 2019

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