Anisotropy of stress correlation in twodimensional 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 twodimensional liquids. We introduce the concept of the stressresolved pair distribution function (SRPDF) that uses the sign of atomiclevel 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 longrange stress correlation as a consequence of shortrange Isinglike 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 Lab. (ORNL), Oak Ridge, TN (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC22)
 OSTI Identifier:
 1245354
 Alternate Identifier(s):
 OSTI ID: 1225123
 Grant/Contract Number:
 AC0500OR22725
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)
 Additional Journal Information:
 Journal Name: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print); Journal Volume: 92; Journal Issue: 5; Journal ID: ISSN 15393755
 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 twodimensional 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 twodimensional liquids and a pseudospin model. United States. doi:10.1103/PhysRevE.92.052303.
Wu, Bin, Iwashita, Takuya, and Egami, Takeshi. Wed .
"Anisotropy of stress correlation in twodimensional liquids and a pseudospin model". United States. doi:10.1103/PhysRevE.92.052303. https://www.osti.gov/servlets/purl/1245354.
@article{osti_1245354,
title = {Anisotropy of stress correlation in twodimensional 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 twodimensional liquids. We introduce the concept of the stressresolved pair distribution function (SRPDF) that uses the sign of atomiclevel 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 longrange stress correlation as a consequence of shortrange Isinglike pseudospin interactions.},
doi = {10.1103/PhysRevE.92.052303},
journal = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)},
number = 5,
volume = 92,
place = {United States},
year = {2015},
month = {11}
}
Web of Science