Anisotropy of stress correlation in two-dimensional liquids and a pseudospin model
Abstract
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.
- Authors:
-
- Univ. of Tennessee, Knoxville, TN (United States)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1245354
- Alternate Identifier(s):
- OSTI ID: 1225123
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
- Additional Journal Information:
- Journal Volume: 92; Journal Issue: 5; Journal ID: ISSN 1539-3755
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Wu, Bin, Iwashita, Takuya, and Egami, Takeshi. Anisotropy of stress correlation in two-dimensional liquids and a pseudospin model. United States: N. p., 2015.
Web. doi:10.1103/PhysRevE.92.052303.
Wu, Bin, Iwashita, Takuya, & Egami, Takeshi. Anisotropy of stress correlation in two-dimensional liquids and a pseudospin model. United States. https://doi.org/10.1103/PhysRevE.92.052303
Wu, Bin, Iwashita, Takuya, and Egami, Takeshi. Wed .
"Anisotropy of stress correlation in two-dimensional liquids and a pseudospin model". United States. https://doi.org/10.1103/PhysRevE.92.052303. https://www.osti.gov/servlets/purl/1245354.
@article{osti_1245354,
title = {Anisotropy of stress correlation in two-dimensional liquids and a pseudospin model},
author = {Wu, Bin and Iwashita, Takuya and Egami, Takeshi},
abstractNote = {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.},
doi = {10.1103/PhysRevE.92.052303},
journal = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics},
number = 5,
volume = 92,
place = {United States},
year = {Wed Nov 04 00:00:00 EST 2015},
month = {Wed Nov 04 00:00:00 EST 2015}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 3 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Structure Factor and Radial Distribution Function for Liquid Argon at 85 °K
journal, June 1973
- Yarnell, J. L.; Katz, M. J.; Wenzel, R. G.
- Physical Review A, Vol. 7, Issue 6
Neutron Scattering from Liquid Argon
journal, January 1965
- Dasannacharya, B. A.; Rao, K. R.
- Physical Review, Vol. 137, Issue 2A
The role of attractive forces in the structure of simple liquids: a theory for small-angle scattering
journal, July 1981
- Evans, R.; Sluckin, T. J.
- Journal of Physics C: Solid State Physics, Vol. 14, Issue 19
The shear viscosity of rigid water models
journal, March 2010
- González, Miguel Angel; Abascal, José L. F.
- The Journal of Chemical Physics, Vol. 132, Issue 9
Viscosity calculations of n -alkanes by equilibrium molecular dynamics
journal, June 1997
- Mondello, Maurizio; Grest, Gary S.
- The Journal of Chemical Physics, Vol. 106, Issue 22
Lennard-Jones triple-point bulk and shear viscosities. Green-Kubo theory, Hamiltonian mechanics, and nonequilibrium molecular dynamics
journal, October 1980
- Hoover, William G.; Evans, Denis J.; Hickman, Richard B.
- Physical Review A, Vol. 22, Issue 4
Computation of the viscosity of a liquid from time averages of stress fluctuations
journal, June 2001
- Hess, Siegfried; Evans, Denis J.
- Physical Review E, Vol. 64, Issue 1
The calculation of the viscosity from the autocorrelation function using molecular and atomic stress tensors
journal, August 1996
- Cui, S. T.; Cummings, P. T.; Cochran, H. D.
- Molecular Physics, Vol. 88, Issue 6
Structural defects in amorphous solids A computer simulation study
journal, June 1980
- Egami, T.; Maeda, K.; Vitek, V.
- Philosophical Magazine A, Vol. 41, Issue 6
Viscosity, Shear Waves, and Atomic-Level Stress-Stress Correlations
journal, March 2011
- Levashov, V. A.; Morris, J. R.; Egami, T.
- Physical Review Letters, Vol. 106, Issue 11
The origin of viscosity as seen through atomic level stress correlation function
journal, January 2013
- Levashov, V. A.; Morris, J. R.; Egami, T.
- The Journal of Chemical Physics, Vol. 138, Issue 4
Nonlocal Nature of the Viscous Transport in Supercooled Liquids: Complex Fluid Approach to Supercooled Liquids
journal, September 2009
- Furukawa, Akira; Tanaka, Hajime
- Physical Review Letters, Vol. 103, Issue 13
Direct evidence of heterogeneous mechanical relaxation in supercooled liquids
journal, December 2011
- Furukawa, Akira; Tanaka, Hajime
- Physical Review E, Vol. 84, Issue 6
Elastic Signature of Flow Events in Supercooled Liquids Under Shear
journal, August 2013
- Chattoraj, Joyjit; Lemaître, Anaël
- Physical Review Letters, Vol. 111, Issue 6
Structural Relaxation is a Scale-Free Process
journal, December 2014
- Lemaître, Anaël
- Physical Review Letters, Vol. 113, Issue 24
Local elasticity map and plasticity in a model Lennard-Jones glass
journal, August 2009
- Tsamados, Michel; Tanguy, Anne; Goldenberg, Chay
- Physical Review E, Vol. 80, Issue 2
Continuum limit of amorphous elastic bodies II: Linear response to a point source force
journal, July 2004
- Leonforte, F.; Tanguy, A.; Wittmer, J. P.
- Physical Review B, Vol. 70, Issue 1
On the microscopic foundations of elasticity
journal, November 2002
- Goldhirsch, I.; Goldenberg, C.
- The European Physical Journal E, Vol. 9, Issue 3
Scale Separation in Granular Packings: Stress Plateaus and Fluctuations
journal, April 2006
- Goldenberg, C.; Atman, A. P. F.; Claudin, P.
- Physical Review Letters, Vol. 96, Issue 16
Anisotropic stress correlations in two-dimensional liquids
journal, March 2015
- Wu, Bin; Iwashita, Takuya; Egami, Takeshi
- Physical Review E, Vol. 91, Issue 3
Fast Parallel Algorithms for Short-Range Molecular Dynamics
journal, March 1995
- Plimpton, Steve
- Journal of Computational Physics, Vol. 117, Issue 1
Local structural fluctuations in amorphous and liquid metals: a simple theory of the glass transition
journal, October 1982
- Egami, T.; Srolovitz, D.
- Journal of Physics F: Metal Physics, Vol. 12, Issue 10
Glass transition in metallic glasses: A microscopic model of topological fluctuations in the bonding network
journal, July 2007
- Egami, T.; Poon, S. J.; Zhang, Z.
- Physical Review B, Vol. 76, Issue 2
Atomic level stresses
journal, August 2011
- Egami, T.
- Progress in Materials Science, Vol. 56, Issue 6
Local atomic structure of amorphous and crystalline alloys: Computer simulation
journal, January 1987
- Egami, T.; Aur, S.
- Journal of Non-Crystalline Solids, Vol. 89, Issue 1-2
Equipartition theorem and the dynamics of liquids
journal, August 2008
- Levashov, V. A.; Egami, T.; Aga, R. S.
- Physical Review B, Vol. 78, Issue 6
The determination of the elastic field of an ellipsoidal inclusion, and related problems
journal, August 1957
- Eshelby, John Douglas
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 241, Issue 1226, p. 376-396
Ising model of a glass transition
journal, July 2013
- Langer, J. S.
- Physical Review E, Vol. 88, Issue 1
Works referencing / citing this record:
Curie-Weiss behavior of liquid structure and ideal glass state
journal, December 2019
- Ryu, C. W.; Dmowski, W.; Kelton, K. F.
- Scientific Reports, Vol. 9, Issue 1