Simple theory of viscosity in liquids
Abstract
A simplistic model of atomic dynamics in liquid, based on the concept of dynamic fluctuations in local atomic connectivity, is proposed to elucidate the temperature variation of the viscosity of a material in its liquid phase. Within the simplifications and hypothesis made to define the model, it is possible to explain the crossover from a simple liquid to a cooperative liquid and covariance of viscosity near the glass transition temperature. The model is a mechanical analog of the Drude model for the electric transport in metal.
- Authors:
-
- Georgia Inst. of Technology, Atlanta, GA (United States); Westfälische Wilhelms-Univ., Münster (Germany)
- 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)
- OSTI Identifier:
- 1493987
- Alternate Identifier(s):
- OSTI ID: 1488683
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review E
- Additional Journal Information:
- Journal Volume: 98; Journal Issue: 6; Journal ID: ISSN 2470-0045
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Bellissard, Jean, and Egami, Takeshi. Simple theory of viscosity in liquids. United States: N. p., 2018.
Web. doi:10.1103/PhysRevE.98.063005.
Bellissard, Jean, & Egami, Takeshi. Simple theory of viscosity in liquids. United States. https://doi.org/10.1103/PhysRevE.98.063005
Bellissard, Jean, and Egami, Takeshi. Fri .
"Simple theory of viscosity in liquids". United States. https://doi.org/10.1103/PhysRevE.98.063005. https://www.osti.gov/servlets/purl/1493987.
@article{osti_1493987,
title = {Simple theory of viscosity in liquids},
author = {Bellissard, Jean and Egami, Takeshi},
abstractNote = {A simplistic model of atomic dynamics in liquid, based on the concept of dynamic fluctuations in local atomic connectivity, is proposed to elucidate the temperature variation of the viscosity of a material in its liquid phase. Within the simplifications and hypothesis made to define the model, it is possible to explain the crossover from a simple liquid to a cooperative liquid and covariance of viscosity near the glass transition temperature. The model is a mechanical analog of the Drude model for the electric transport in metal.},
doi = {10.1103/PhysRevE.98.063005},
journal = {Physical Review E},
number = 6,
volume = 98,
place = {United States},
year = {2018},
month = {12}
}
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Works referenced in this record:
Shear-transformation-zone theory of deformation in metallic glasses
journal, February 2006
- Langer, J.
- Scripta Materialia, Vol. 54, Issue 3
A Geometrical Approach to the Structure Of Liquids
journal, January 1959
- Bernal, J. D.
- Nature, Vol. 183, Issue 4655
Dynamics of shear-transformation zones in amorphous plasticity: Energetic constraints in a minimal theory
journal, December 2003
- Langer, J. S.; Pechenik, L.
- Physical Review E, Vol. 68, Issue 6
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
Corresponding States of Structural Glass Formers
journal, April 2009
- Elmatad, Yael S.; Chandler, David; Garrahan, Juan P.
- The Journal of Physical Chemistry B, Vol. 113, Issue 16
Crossover from Localized to Cascade Relaxations in Metallic Glasses
journal, July 2015
- Fan, Yue; Iwashita, Takuya; Egami, Takeshi
- Physical Review Letters, Vol. 115, Issue 4
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
Connections between some kinetic and equilibrium theories of the glass transition
journal, April 1987
- Kirkpatrick, T. R.; Wolynes, P. G.
- Physical Review A, Vol. 35, Issue 7
Icosahedral Bond Orientational Order in Supercooled Liquids
journal, November 1981
- Steinhardt, Paul J.; Nelson, David R.; Ronchetti, Marco
- Physical Review Letters, Vol. 47, Issue 18
Structural Rearrangements That Govern Flow in Colloidal Glasses
journal, December 2007
- Schall, P.; Weitz, D. A.; Spaepen, F.
- Science, Vol. 318, Issue 5858
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
Quasicrystals and crystalline approximants
journal, January 1993
- Goldman, A. I.; Kelton, R. F.
- Reviews of Modern Physics, Vol. 65, Issue 1
Ergodicity breaking transition in a glassy soft sphere system at small but non-zero temperatures
journal, January 2018
- Maiti, Moumita; Schmiedeberg, Michael
- Scientific Reports, Vol. 8, Issue 1
Local fluctuations and ordering in liquid and amorphous metals
journal, February 1988
- Chen, S. -P.; Egami, T.; Vitek, V.
- Physical Review B, Vol. 37, Issue 5
Evidence of a Glass–Liquid Transition in a Gold–Germanium–Silicon Alloy
journal, March 1968
- Chen, H. S.; Turnbull, D.
- The Journal of Chemical Physics, Vol. 48, Issue 6
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
The mysterious glass transition
journal, February 2007
- Langer, James
- Physics Today, Vol. 60, Issue 2
Structural defects in amorphous solids Statistical analysis of a computer model
journal, October 1981
- Srolovitz, D.; Maeda, K.; Vitek, V.
- Philosophical Magazine A, Vol. 44, Issue 4
Zur Elektronentheorie der Metalle
journal, January 1900
- Drude, P.
- Annalen der Physik, Vol. 306, Issue 3
Atomic level stresses
journal, August 2011
- Egami, T.
- Progress in Materials Science, Vol. 56, Issue 6
Observation of dynamic atom-atom correlation in liquid helium in real space
journal, May 2017
- Dmowski, W.; Diallo, S. O.; Lokshin, K.
- Nature Communications, Vol. 8, Issue 1
Supercooled liquids and the glass transition
journal, March 2001
- Debenedetti, Pablo G.; Stillinger, Frank H.
- Nature, Vol. 410, Issue 6825
Entropic barriers, activated hopping, and the glass transition in colloidal suspensions
journal, July 2003
- Schweizer, Kenneth S.; Saltzman, Erica J.
- The Journal of Chemical Physics, Vol. 119, Issue 2
Critical-like behaviour of glass-forming liquids
journal, February 2010
- Tanaka, Hajime; Kawasaki, Takeshi; Shintani, Hiroshi
- Nature Materials, Vol. 9, Issue 4
How thermally activated deformation starts in metallic glass
journal, September 2014
- Fan, Yue; Iwashita, Takuya; Egami, Takeshi
- Nature Communications, Vol. 5, Issue 1
P.L. Homeomorphic Manifolds are Equivalent by Elementary 5hellingst
journal, March 1991
- Pachner, Udo
- European Journal of Combinatorics, Vol. 12, Issue 2
Order, frustration, and defects in liquids and glasses
journal, November 1983
- Nelson, David R.
- Physical Review B, Vol. 28, Issue 10
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
Experimental characterization of shear transformation zones for plastic flow of bulk metallic glasses
journal, September 2008
- Pan, D.; Inoue, A.; Sakurai, T.
- Proceedings of the National Academy of Sciences, Vol. 105, Issue 39
Proposal for universality in the viscosity of metallic liquids
journal, September 2015
- Blodgett, M. E.; Egami, T.; Nussinov, Z.
- Scientific Reports, Vol. 5, Issue 1
Dynamics of viscoplastic deformation in amorphous solids
journal, June 1998
- Falk, M. L.; Langer, J. S.
- Physical Review E, Vol. 57, Issue 6
Energy landscape-driven non-equilibrium evolution of inherent structure in disordered material
journal, May 2017
- Fan, Yue; Iwashita, Takuya; Egami, Takeshi
- Nature Communications, Vol. 8, Issue 1
Plastic deformation in metallic glasses
journal, January 1979
- Argon, A. S.
- Acta Metallurgica, Vol. 27, Issue 1
An atomically quantized hierarchy of shear transformation zones in a metallic glass
journal, March 2011
- Ju, J. D.; Jang, D.; Nwankpa, A.
- Journal of Applied Physics, Vol. 109, Issue 5
The frustration-based approach of supercooled liquids and the glass transition: a review and critical assessment
journal, December 2005
- Tarjus, G.; Kivelson, S. A.; Nussinov, Z.
- Journal of Physics: Condensed Matter, Vol. 17, Issue 50
Zur Elektronentheorie der Metalle; II. Teil. Galvanomagnetische und thermomagnetische Effecte
journal, January 1900
- Drude, P.
- Annalen der Physik, Vol. 308, Issue 11
Dynamics of shear-transformation zones in amorphous plasticity: Formulation in terms of an effective disorder temperature
journal, October 2004
- Langer, J. S.
- Physical Review E, Vol. 70, Issue 4
Formation of Glasses from Liquids and Biopolymers
journal, March 1995
- Angell, C. A.
- Science, Vol. 267, Issue 5206
Works referencing / citing this record:
Heat capacity of simple liquids in light of hydrodynamics as U(1) gauge theory
journal, July 2019
- Tomiyoshi, Yoshinori; Ueda, Daiki
- Physical Review E, Vol. 100, Issue 1
Heat capacity of liquids in light of hydrodynamics as U(1) gauge theory
text, January 2019
- Tomiyoshi, Yoshinori; Ueda, Daiki
- arXiv