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Title: Anisotropic stress correlations in two-dimensional liquids

Abstract

In this paper we demonstrate the presence of anisotropic stress correlations in the simulated 2D liquids. Whereas the temporal correlation of macroscopic shear stress is known to contribute to viscosity via the Green-Kubo formula, the general question regarding angular dependence of the spatial correlation among atomic level stresses in liquids without external shear has not been explored. Besides the apparent anisotropicity with well-defined symmetry, we found that the characteristic length of shear stress correlation depends on temperature and follows the power law, suggesting divergence around the glass transition temperature. The anisotropy of the stress correlations can be explained in terms of the inclusion model by Eshelby, based upon which we suggest that the mismatch between the atom and its nearest neighbor cage produces the atomic level stress as well as the long-range stress fields.

Authors:
 [1];  [2];  [3]
  1. Univ. of Tennessee, Knoxville, TN (United States). Joint Inst. of Neutron Science and Dept. of Physics and Astronomy
  2. Univ. of Tennessee, Knoxville, TN (United States). Dept. of Materials Science and Engineering
  3. Univ. of Tennessee, Knoxville, TN (United States). Joint Inst. of Neutron Science and Dept. of Physics and Astronomy; Univ. of Tennessee, Knoxville, TN (United States). Dept. of Materials Science and Engineering; Oak Ridge National Lab. (ORNL), Oak Ridge, 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:
1185850
Alternate Identifier(s):
OSTI ID: 1180869
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: 91; Journal Issue: 3; Journal ID: ISSN 1539-3755
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Liquids

Citation Formats

Wu, Bin, Iwashita, Takuya, and Egami, Takeshi. Anisotropic stress correlations in two-dimensional liquids. United States: N. p., 2015. Web. doi:10.1103/PhysRevE.91.032301.
Wu, Bin, Iwashita, Takuya, & Egami, Takeshi. Anisotropic stress correlations in two-dimensional liquids. United States. https://doi.org/10.1103/PhysRevE.91.032301
Wu, Bin, Iwashita, Takuya, and Egami, Takeshi. Sun . "Anisotropic stress correlations in two-dimensional liquids". United States. https://doi.org/10.1103/PhysRevE.91.032301. https://www.osti.gov/servlets/purl/1185850.
@article{osti_1185850,
title = {Anisotropic stress correlations in two-dimensional liquids},
author = {Wu, Bin and Iwashita, Takuya and Egami, Takeshi},
abstractNote = {In this paper we demonstrate the presence of anisotropic stress correlations in the simulated 2D liquids. Whereas the temporal correlation of macroscopic shear stress is known to contribute to viscosity via the Green-Kubo formula, the general question regarding angular dependence of the spatial correlation among atomic level stresses in liquids without external shear has not been explored. Besides the apparent anisotropicity with well-defined symmetry, we found that the characteristic length of shear stress correlation depends on temperature and follows the power law, suggesting divergence around the glass transition temperature. The anisotropy of the stress correlations can be explained in terms of the inclusion model by Eshelby, based upon which we suggest that the mismatch between the atom and its nearest neighbor cage produces the atomic level stress as well as the long-range stress fields.},
doi = {10.1103/PhysRevE.91.032301},
journal = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics},
number = 3,
volume = 91,
place = {United States},
year = {Sun Mar 01 00:00:00 EST 2015},
month = {Sun Mar 01 00:00:00 EST 2015}
}

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Cited by: 26 works
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Works referenced in this record:

Amorphous systems in athermal, quasistatic shear
journal, July 2006


Two-dimensional elastic inclusion problems
journal, July 1961

  • Jaswon, M. A.; Bhargava, R. D.
  • Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 57, Issue 3
  • DOI: 10.1017/S0305004100035702

Elastic Signature of Flow Events in Supercooled Liquids Under Shear
journal, August 2013


Melting and the vector Coulomb gas in two dimensions
journal, February 1979


Glass transition in metallic glasses: A microscopic model of topological fluctuations in the bonding network
journal, July 2007


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
  • DOI: 10.1063/1.4789306

Microstructural shear localization in plastic deformation of amorphous solids
journal, June 2001


Melting in two-dimensional Yukawa systems: A Brownian dynamics simulation
journal, December 2010

  • Qi, Wei-Kai; Wang, Ziren; Han, Yilong
  • The Journal of Chemical Physics, Vol. 133, Issue 23
  • DOI: 10.1063/1.3506875

Structural Rearrangements That Govern Flow in Colloidal Glasses
journal, December 2007


Equipartition theorem and the dynamics of liquids
journal, August 2008


Local shear transformations in deformed and quiescent hard-sphere colloidal glasses
journal, October 2014


Plastic response of a 2D Lennard-Jones amorphous solid: Detailed analysis of the local rearrangements at very slow strain rate
journal, July 2006


On the study of local-stress rearrangements during quasi-static plastic shear of a model glass: Do local-stress components contain enough information?
journal, May 2008


Strain-rate and temperature-driven transition in the shear transformation zone for two-dimensional amorphous solids
journal, October 2013


Time-dependent elastic response to a local shear transformation in amorphous solids
journal, April 2014


Spontaneous formation of permanent shear bands in a mesoscopic model of flowing disordered matter
journal, January 2012

  • Martens, Kirsten; Bocquet, Lydéric; Barrat, Jean-Louis
  • Soft Matter, Vol. 8, Issue 15
  • DOI: 10.1039/c2sm07090a

Local structural fluctuations in amorphous and liquid metals: a simple theory of the glass transition
journal, October 1982


Dislocation-mediated melting in two dimensions
journal, March 1979


Atomistic study of Eshelby's inclusion and inhomogeneity problems in a model bcc crystal
journal, September 2011

  • Hoang, T. L.; Arsenlis, A.; Lee-Voigt, H. J.
  • Modelling and Simulation in Materials Science and Engineering, Vol. 19, Issue 8
  • DOI: 10.1088/0965-0393/19/8/085001

Subextensive Scaling in the Athermal, Quasistatic Limit of Amorphous Matter in Plastic Shear Flow
journal, July 2004


Fast Parallel Algorithms for Short-Range Molecular Dynamics
journal, March 1995


Microscopic Mechanism of Shear Bands in Amorphous Solids
journal, December 2012


Spatiotemporal correlations between plastic events in the shear flow of athermal amorphous solids
journal, June 2014

  • Nicolas, Alexandre; Rottler, Jörg; Barrat, Jean-Louis
  • The European Physical Journal E, Vol. 37, Issue 6
  • DOI: 10.1140/epje/i2014-14050-1

Atomic level stresses
journal, August 2011


Grain-Boundary Theory of Melting in Two Dimensions
journal, April 1982


Ordering, metastability and phase transitions in two-dimensional systems
journal, April 1973

  • Kosterlitz, J M; Thouless, D J
  • Journal of Physics C: Solid State Physics, Vol. 6, Issue 7, p. 1181-1203
  • DOI: 10.1088/0022-3719/6/7/010

Elastic consequences of a single plastic event: A step towards the microscopic modeling of the flow of yield stress fluids
journal, November 2004


Yield strain in shear banding amorphous solids
journal, February 2013


Emergence of Cooperativity in Plasticity of Soft Glassy Materials
journal, June 2014


Theory of Two-Dimensional Melting
journal, July 1978


Structural defects in amorphous solids A computer simulation study
journal, June 1980


Dynamics of viscoplastic deformation in amorphous solids
journal, June 1998


A stochastic model for continuum elasto-plastic behavior. I. Numerical approach and strain localization
journal, March 1994

  • Bulatov, V. V.; Argon, A. S.
  • Modelling and Simulation in Materials Science and Engineering, Vol. 2, Issue 2
  • DOI: 10.1088/0965-0393/2/2/001

Coexistence of hexatic and isotropic phases in two-dimensional Yukawa systems
journal, May 2008


Rate-Dependent Avalanche Size in Athermally Sheared Amorphous Solids
journal, August 2009


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
  • DOI: 10.1098/rspa.1957.0133

Computer simulations of two-dimensional melting with dipole-dipole interactions
journal, June 2006


Works referencing / citing this record:

Anomalous phonon scattering and elastic correlations in amorphous solids
journal, August 2016

  • Gelin, Simon; Tanaka, Hajime; Lemaître, Anaël
  • Nature Materials, Vol. 15, Issue 11
  • DOI: 10.1038/nmat4736

Tensorial analysis of Eshelby stresses in 3D supercooled liquids
journal, October 2015

  • Lemaître, Anaël
  • The Journal of Chemical Physics, Vol. 143, Issue 16
  • DOI: 10.1063/1.4933235

Spatial-decomposition analysis of viscosity with application to Lennard-Jones fluid
journal, March 2018

  • Tu, Kai-Min; Kim, Kang; Matubayasi, Nobuyuki
  • The Journal of Chemical Physics, Vol. 148, Issue 9
  • DOI: 10.1063/1.5018483

Stress correlations in glasses
journal, September 2018

  • Lemaître, Anaël
  • The Journal of Chemical Physics, Vol. 149, Issue 10
  • DOI: 10.1063/1.5041461