Anisotropic stress correlations in two-dimensional liquids

Wu, Bin; Iwashita, Takuya; Egami, Takeshi

doi:10.1103/PhysRevE.91.032301

Title: Anisotropic stress correlations in two-dimensional liquids

Journal Article · Sun Mar 01 00:00:00 EST 2015 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

DOI:https://doi.org/10.1103/PhysRevE.91.032301· OSTI ID:1185850

Wu, Bin ^[1]; Iwashita, Takuya ^[2]; Egami, Takeshi ^[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
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)

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.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

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:: 1185850

Alternate ID(s):: OSTI ID: 1180869

Journal Information:: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, Vol. 91, Issue 3; ISSN 1539-3755

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 26 works

Citation information provided by
Web of Science

References (39)

Amorphous systems in athermal, quasistatic shear Maloney, Craig E.; Lemaître, Anaël Physical Review E, Vol. 74, Issue 1 https://doi.org/10.1103/PhysRevE.74.016118	journal	July 2006
Two-dimensional elastic inclusion problems Jaswon, M. A.; Bhargava, R. D. Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 57, Issue 3 https://doi.org/10.1017/S0305004100035702	journal	July 1961
Elastic Signature of Flow Events in Supercooled Liquids Under Shear Chattoraj, Joyjit; Lemaître, Anaël Physical Review Letters, Vol. 111, Issue 6 https://doi.org/10.1103/PhysRevLett.111.066001	journal	August 2013
Melting and the vector Coulomb gas in two dimensions Young, A. P. Physical Review B, Vol. 19, Issue 4 https://doi.org/10.1103/PhysRevB.19.1855	journal	February 1979
Glass transition in metallic glasses: A microscopic model of topological fluctuations in the bonding network Egami, T.; Poon, S. J.; Zhang, Z. Physical Review B, Vol. 76, Issue 2 https://doi.org/10.1103/PhysRevB.76.024203	journal	July 2007
The origin of viscosity as seen through atomic level stress correlation function Levashov, V. A.; Morris, J. R.; Egami, T. The Journal of Chemical Physics, Vol. 138, Issue 4 https://doi.org/10.1063/1.4789306	journal	January 2013
Microstructural shear localization in plastic deformation of amorphous solids Langer, J. S. Physical Review E, Vol. 64, Issue 1 https://doi.org/10.1103/PhysRevE.64.011504	journal	June 2001
Melting in two-dimensional Yukawa systems: A Brownian dynamics simulation Qi, Wei-Kai; Wang, Ziren; Han, Yilong The Journal of Chemical Physics, Vol. 133, Issue 23 https://doi.org/10.1063/1.3506875	journal	December 2010
Plastic response of a two-dimensional amorphous solid to quasistatic shear: Transverse particle diffusion and phenomenology of dissipative events Lemaître, Anaël; Caroli, Christiane Physical Review E, Vol. 76, Issue 3 https://doi.org/10.1103/PhysRevE.76.036104	journal	September 2007
Structural Rearrangements That Govern Flow in Colloidal Glasses Schall, P.; Weitz, D. A.; Spaepen, F. Science, Vol. 318, Issue 5858 https://doi.org/10.1126/science.1149308	journal	December 2007
Equipartition theorem and the dynamics of liquids Levashov, V. A.; Egami, T.; Aga, R. S. Physical Review B, Vol. 78, Issue 6 https://doi.org/10.1103/PhysRevB.78.064205	journal	August 2008
Local shear transformations in deformed and quiescent hard-sphere colloidal glasses Jensen, K. E.; Weitz, D. A.; Spaepen, F. Physical Review E, Vol. 90, Issue 4 https://doi.org/10.1103/PhysRevE.90.042305	journal	October 2014
Plastic response of a 2D Lennard-Jones amorphous solid: Detailed analysis of the local rearrangements at very slow strain rate Tanguy, A.; Leonforte, F.; Barrat, J. -L. The European Physical Journal E, Vol. 20, Issue 3 https://doi.org/10.1140/epje/i2006-10024-2	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? Tsamados, M.; Tanguy, A.; Léonforte, F. The European Physical Journal E, Vol. 26, Issue 3 https://doi.org/10.1140/epje/i2007-10324-y	journal	May 2008
Strain-rate and temperature-driven transition in the shear transformation zone for two-dimensional amorphous solids Cao, Penghui; Park, Harold S.; Lin, Xi Physical Review E, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevE.88.042404	journal	October 2013
Time-dependent elastic response to a local shear transformation in amorphous solids Puosi, F.; Rottler, J.; Barrat, J-L. Physical Review E, Vol. 89, Issue 4 https://doi.org/10.1103/PhysRevE.89.042302	journal	April 2014
Spontaneous formation of permanent shear bands in a mesoscopic model of flowing disordered matter Martens, Kirsten; Bocquet, Lydéric; Barrat, Jean-Louis Soft Matter, Vol. 8, Issue 15 https://doi.org/10.1039/c2sm07090a	journal	January 2012
Local structural fluctuations in amorphous and liquid metals: a simple theory of the glass transition Egami, T.; Srolovitz, D. Journal of Physics F: Metal Physics, Vol. 12, Issue 10 https://doi.org/10.1088/0305-4608/12/10/010	journal	October 1982
Dislocation-mediated melting in two dimensions Nelson, David R.; Halperin, B. I. Physical Review B, Vol. 19, Issue 5 https://doi.org/10.1103/PhysRevB.19.2457	journal	March 1979
Atomistic study of Eshelby's inclusion and inhomogeneity problems in a model bcc crystal Hoang, T. L.; Arsenlis, A.; Lee-Voigt, H. J. Modelling and Simulation in Materials Science and Engineering, Vol. 19, Issue 8 https://doi.org/10.1088/0965-0393/19/8/085001	journal	September 2011
Subextensive Scaling in the Athermal, Quasistatic Limit of Amorphous Matter in Plastic Shear Flow Maloney, Craig; Lemaître, Anaël Physical Review Letters, Vol. 93, Issue 1 https://doi.org/10.1103/PhysRevLett.93.016001	journal	July 2004
Fast Parallel Algorithms for Short-Range Molecular Dynamics Plimpton, Steve Journal of Computational Physics, Vol. 117, Issue 1 https://doi.org/10.1006/jcph.1995.1039	journal	March 1995
Microscopic Mechanism of Shear Bands in Amorphous Solids Dasgupta, Ratul; Hentschel, H. George E.; Procaccia, Itamar Physical Review Letters, Vol. 109, Issue 25 https://doi.org/10.1103/PhysRevLett.109.255502	journal	December 2012
Spatiotemporal correlations between plastic events in the shear flow of athermal amorphous solids Nicolas, Alexandre; Rottler, Jörg; Barrat, Jean-Louis The European Physical Journal E, Vol. 37, Issue 6 https://doi.org/10.1140/epje/i2014-14050-1	journal	June 2014
Atomic level stresses Egami, T. Progress in Materials Science, Vol. 56, Issue 6 https://doi.org/10.1016/j.pmatsci.2011.01.004	journal	August 2011
Grain-Boundary Theory of Melting in Two Dimensions Chui, S. T. Physical Review Letters, Vol. 48, Issue 14 https://doi.org/10.1103/PhysRevLett.48.933	journal	April 1982
Ordering, metastability and phase transitions in two-dimensional systems Kosterlitz, J M; Thouless, D J Journal of Physics C: Solid State Physics, Vol. 6, Issue 7, p. 1181-1203 https://doi.org/10.1088/0022-3719/6/7/010	journal	April 1973
Small Angle Neutron Scattering Studies of the Counterion Effects on the Molecular Conformation and Structure of Charged G4 PAMAM Dendrimers in Aqueous Solutions Chen, Wei-Ren; Porcar, Lionel; Liu, Yun Macromolecules, Vol. 40, Issue 16 https://doi.org/10.1021/ma0626564	journal	August 2007
Elastic consequences of a single plastic event: A step towards the microscopic modeling of the flow of yield stress fluids Picard, G.; Ajdari, A.; Lequeux, F. The European Physical Journal E, Vol. 15, Issue 4 https://doi.org/10.1140/epje/i2004-10054-8	journal	November 2004
Yield strain in shear banding amorphous solids Dasgupta, Ratul; Hentschel, H. George E.; Procaccia, Itamar Physical Review E, Vol. 87, Issue 2 https://doi.org/10.1103/PhysRevE.87.022810	journal	February 2013
Emergence of Cooperativity in Plasticity of Soft Glassy Materials Le Bouil, Antoine; Amon, Axelle; McNamara, Sean Physical Review Letters, Vol. 112, Issue 24 https://doi.org/10.1103/PhysRevLett.112.246001	journal	June 2014
Theory of Two-Dimensional Melting Halperin, B. I.; Nelson, David R. Physical Review Letters, Vol. 41, Issue 2 https://doi.org/10.1103/PhysRevLett.41.121	journal	July 1978
Structural defects in amorphous solids A computer simulation study Egami, T.; Maeda, K.; Vitek, V. Philosophical Magazine A, Vol. 41, Issue 6 https://doi.org/10.1080/01418618008243894	journal	June 1980
Dynamics of viscoplastic deformation in amorphous solids Falk, M. L.; Langer, J. S. Physical Review E, Vol. 57, Issue 6 https://doi.org/10.1103/PhysRevE.57.7192	journal	June 1998
A stochastic model for continuum elasto-plastic behavior. I. Numerical approach and strain localization Bulatov, V. V.; Argon, A. S. Modelling and Simulation in Materials Science and Engineering, Vol. 2, Issue 2 https://doi.org/10.1088/0965-0393/2/2/001	journal	March 1994
Coexistence of hexatic and isotropic phases in two-dimensional Yukawa systems Qi, Wei-Kai; Qin, Shao-Meng; Zhao, Xiao-Ying Journal of Physics: Condensed Matter, Vol. 20, Issue 24 https://doi.org/10.1088/0953-8984/20/24/245102	journal	May 2008
Rate-Dependent Avalanche Size in Athermally Sheared Amorphous Solids Lemaître, Anaël; Caroli, Christiane Physical Review Letters, Vol. 103, Issue 6 https://doi.org/10.1103/PhysRevLett.103.065501	journal	August 2009
The determination of the elastic field of an ellipsoidal inclusion, and related problems Eshelby, John Douglas Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 241, Issue 1226, p. 376-396 https://doi.org/10.1098/rspa.1957.0133	journal	August 1957
Computer simulations of two-dimensional melting with dipole-dipole interactions Lin, S. Z.; Zheng, B.; Trimper, S. Physical Review E, Vol. 73, Issue 6 https://doi.org/10.1103/PhysRevE.73.066106	journal	June 2006

Cited By (5)

Anomalous phonon scattering and elastic correlations in amorphous solids Gelin, Simon; Tanaka, Hajime; Lemaître, Anaël Nature Materials, Vol. 15, Issue 11 https://doi.org/10.1038/nmat4736	journal	August 2016
Tensorial analysis of Eshelby stresses in 3D supercooled liquids Lemaître, Anaël The Journal of Chemical Physics, Vol. 143, Issue 16 https://doi.org/10.1063/1.4933235	journal	October 2015
Spatial-decomposition analysis of viscosity with application to Lennard-Jones fluid Tu, Kai-Min; Kim, Kang; Matubayasi, Nobuyuki The Journal of Chemical Physics, Vol. 148, Issue 9 https://doi.org/10.1063/1.5018483	journal	March 2018
Stress correlations in glasses Lemaître, Anaël The Journal of Chemical Physics, Vol. 149, Issue 10 https://doi.org/10.1063/1.5041461	journal	September 2018
Inherent stress correlations in a quiescent two-dimensional liquid: Static analysis including finite-size effects Lemaître, Anaël Physical Review E, Vol. 96, Issue 5 https://doi.org/10.1103/physreve.96.052101	journal	November 2017

Similar Records

Viscosity, Shear Waves, and Atomic-Level Stress-Stress Correlations

Journal Article · Tue Mar 01 00:00:00 EST 2011 · Physical Review Letters · OSTI ID:1185850

Levashov, Valentin A.; Morris, James R.; Egami, Takeshi

Analysis of structural correlations in a model binary 3D liquid through the eigenvalues and eigenvectors of the atomic stress tensors

Journal Article · Mon Mar 07 00:00:00 EST 2016 · Journal of Chemical Physics · OSTI ID:1185850

Levashov, V. A.

Micro-stress dominant displacive reconstructive transition in lithium aluminate

Journal Article · Mon Aug 15 00:00:00 EDT 2016 · Applied Physics Letters · OSTI ID:1185850

Hu, Qiwei; Yan, Xiaozhi; Zhang, Leilei; +4 more

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Liquids

Title: Anisotropic stress correlations in two-dimensional liquids

Citation Formats

References (39)

Cited By (5)

Similar Records

Related Subjects