Proposal for Universality in the Viscosity of Metallic Liquids

Blodgett, M. E.; Egami, Takeshi; Nussinov, Z.; Kelton, K. F.

doi:10.1038/srep13837

Title: Proposal for Universality in the Viscosity of Metallic Liquids

Journal Article · 08 September 2015 · Scientific Reports

DOI: https://doi.org/10.1038/srep13837 · OSTI ID:1222545

Blodgett, M. E. ^[1]; Egami, Takeshi ^[2]; Nussinov, Z. ^[1]; Kelton, K. F. ^[1]

Washington Univ., St. Louis, MO (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

The range of magnitude of the liquid viscosity, η, as a function of temperature is one of the most impressive of any physical property, changing by approximately 17 orders of magnitude from its extrapolated value at infinite temperature (η_o) to that at the glass transition temperature, T_g. We present experimental measurements of containerlessly processed metallic liquids that suggest that log(η/η_o) as a function of T_A/T is a potentially universal scaled curve. In stark contrast to previous approaches, the scaling requires only two fitting parameters, which are on average predictable. The temperature T_A corresponds to the onset of cooperative motion and is strongly correlated with T_g, suggesting that the processes underlying the glass transition first appear in the high temperature liquid.

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Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1222545

Journal Information:: Scientific Reports, Journal Name: Scientific Reports Vol. 5; ISSN 2045-2322

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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A structural signature of liquid fragility Mauro, N. A.; Blodgett, M.; Johnson, M. L. Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms5616	journal	August 2014
On the ergodicity of supercooled molecular glass-forming liquids at the dynamical arrest: the o-terphenyl case Mallamace, Francesco; Corsaro, Carmelo; Leone, Nancy Scientific Reports, Vol. 4, Issue 1 https://doi.org/10.1038/srep03747	journal	January 2014
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The effect of cooling rates on the apparent fragility of Zr-based bulk metallic glasses Evenson, Zach; Gallino, Isabella; Busch, Ralf Journal of Applied Physics, Vol. 107, Issue 12 https://doi.org/10.1063/1.3452381	journal	June 2010
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Breakdown of the Stokes–Einstein relation in supercooled liquids Tarjus, Gilles; Kivelson, Daniel The Journal of Chemical Physics, Vol. 103, Issue 8 https://doi.org/10.1063/1.470495	journal	August 1995
Anomalous structural evolution in Cu ₅₀ Zr ₅₀ glass-forming liquids Mauro, Nicholas A.; Vogt, Adam J.; Johnson, Mark L. Applied Physics Letters, Vol. 103, Issue 2 https://doi.org/10.1063/1.4813389	journal	July 2013
Crossover to potential energy landscape dominated dynamics in a model glass-forming liquid Schrøder, Thomas B.; Sastry, Srikanth; Dyre, Jeppe C. The Journal of Chemical Physics, Vol. 112, Issue 22 https://doi.org/10.1063/1.481621	journal	June 2000
Transport properties of glass-forming liquids suggest that dynamic crossover temperature is as important as the glass transition temperature Mallamace, F.; Branca, C.; Corsaro, C. Proceedings of the National Academy of Sciences, Vol. 107, Issue 52 https://doi.org/10.1073/Pnas.1015340107	journal	December 2010
Viscosity of glass-forming liquids Mauro, J. C.; Yue, Y.; Ellison, A. J. Proceedings of the National Academy of Sciences, Vol. 106, Issue 47 https://doi.org/10.1073/pnas.0911705106	journal	November 2009
Finite-temperature critical point of a glass transition Elmatad, Y. S.; Jack, R. L.; Chandler, D. Proceedings of the National Academy of Sciences, Vol. 107, Issue 29 https://doi.org/10.1073/pnas.1006306107	journal	July 2010
Transport properties of glass-forming liquids suggest that dynamic crossover temperature is as important as the glass transition temperature Mallamace, F.; Branca, C.; Corsaro, C. Proceedings of the National Academy of Sciences, Vol. 107, Issue 52 https://doi.org/10.1073/pnas.1015340107	journal	December 2010
Under what conditions can a glass be formed? Turnbull, David Contemporary Physics, Vol. 10, Issue 5 https://doi.org/10.1080/00107516908204405	journal	September 1969
Nonlinearities in the undercooled properties of Ti _39.5 Zr _39.5 Ni ₂₁ Bradshaw, R. C.; Arsenault, A. D.; Hyers, R. W. Philosophical Magazine, Vol. 86, Issue 3-5 https://doi.org/10.1080/14786430500253968	journal	January 2006
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Compilation of the fragility parameters for several glass-forming metallic alloys Perera, D. N. Journal of Physics: Condensed Matter, Vol. 11, Issue 19 https://doi.org/10.1088/0953-8984/11/19/303	journal	January 1999
The frustration-based approach of supercooled liquids and the glass transition: a review and critical assessment Tarjus, G.; Kivelson, S. A.; Nussinov, Z. Journal of Physics: Condensed Matter, Vol. 17, Issue 50 https://doi.org/10.1088/0953-8984/17/50/R01	journal	December 2005
The frustration-based approach of supercooled liquids and the glass transition: a review and critical assessment Tarjus, G.; Kivelson, S. A.; Nussinov, Z. Journal of Physics: Condensed Matter, Vol. 17, Issue 50 https://doi.org/10.1088/0953-8984/17/50/r01	journal	December 2005
Scaling concepts for the dynamics of viscous liquids near an ideal glassy state Kirkpatrick, T. R.; Thirumalai, D.; Wolynes, P. G. Physical Review A, Vol. 40, Issue 2 https://doi.org/10.1103/PhysRevA.40.1045	journal	July 1989
Fitting of viscosity: Distinguishing the temperature dependences predicted by various models of supercooled liquids Kivelson, Daniel; Tarjus, Gilles; Zhao, Xiaolin Physical Review E, Vol. 53, Issue 1 https://doi.org/10.1103/PhysRevE.53.751	journal	January 1996
Measurement of the self-intermediate scattering function of suspensions of hard spherical particles near the glass transition van Megen, W.; Mortensen, T. C.; Williams, S. R. Physical Review E, Vol. 58, Issue 5 https://doi.org/10.1103/PhysRevE.58.6073	journal	November 1998
From boiling point to glass transition temperature: Transport coefficients in molecular liquids follow three-parameter scaling Schmidtke, B.; Petzold, N.; Kahlau, R. Physical Review E, Vol. 86, Issue 4 https://doi.org/10.1103/PhysRevE.86.041507	journal	October 2012
Icosahedral Short-Range Order in Deeply Undercooled Metallic Melts Schenk, T.; Holland-Moritz, D.; Simonet, V. Physical Review Letters, Vol. 89, Issue 7 https://doi.org/10.1103/PhysRevLett.89.075507	journal	July 2002
First X-Ray Scattering Studies on Electrostatically Levitated Metallic Liquids: Demonstrated Influence of Local Icosahedral Order on the Nucleation Barrier Kelton, K. F.; Lee, G. W.; Gangopadhyay, A. K. Physical Review Letters, Vol. 90, Issue 19 https://doi.org/10.1103/PhysRevLett.90.195504	journal	May 2003
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Cooperative Shear Model for the Rheology of Glass-Forming Metallic Liquids Demetriou, Marios D.; Harmon, John S.; Tao, Min Physical Review Letters, Vol. 97, Issue 6 https://doi.org/10.1103/PhysRevLett.97.065502	journal	August 2006
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Avoided phase transitions and glassy dynamics in geometrically frustrated systems and non-Abelian theories Nussinov, Zohar Physical Review B, Vol. 69, Issue 1 https://doi.org/10.1103/Physrevb.69.014208	journal	January 2004
Connectivity of icosahedral network and a dramatically growing static length scale in Cu-Zr binary metallic glasses Soklaski, Ryan; Nussinov, Zohar; Markow, Zachary Physical Review B, Vol. 87, Issue 18 https://doi.org/10.1103/Physrevb.87.184203	journal	May 2013
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Liquid-glass transition, a free-volume approach Cohen, Morrel H.; Grest, G. S. Physical Review B, Vol. 20, Issue 3 https://doi.org/10.1103/physrevb.20.1077	journal	August 1979
Avoided phase transitions and glassy dynamics in geometrically frustrated systems and non-Abelian theories Nussinov, Zohar Physical Review B, Vol. 69, Issue 1 https://doi.org/10.1103/physrevb.69.014208	journal	January 2004
Connectivity of icosahedral network and a dramatically growing static length scale in Cu-Zr binary metallic glasses Soklaski, Ryan; Nussinov, Zohar; Markow, Zachary Physical Review B, Vol. 87, Issue 18 https://doi.org/10.1103/physrevb.87.184203	journal	May 2013
Fitting of viscosity: Distinguishing the temperature dependences predicted by various models of supercooled liquids Kivelson, Daniel; Tarjus, Gilles; Zhao, Xiaolin Physical Review E, Vol. 53, Issue 1 https://doi.org/10.1103/physreve.53.751	journal	January 1996
Measurement of the self-intermediate scattering function of suspensions of hard spherical particles near the glass transition van Megen, W.; Mortensen, T. C.; Williams, S. R. Physical Review E, Vol. 58, Issue 5 https://doi.org/10.1103/physreve.58.6073	journal	November 1998
From boiling point to glass transition temperature: Transport coefficients in molecular liquids follow three-parameter scaling Schmidtke, B.; Petzold, N.; Kahlau, R. Physical Review E, Vol. 86, Issue 4 https://doi.org/10.1103/physreve.86.041507	journal	October 2012
Elementary Excitations and Crossover Phenomenon in Liquids Iwashita, T.; Nicholson, D. M.; Egami, T. Physical Review Letters, Vol. 110, Issue 20 https://doi.org/10.1103/physrevlett.110.205504	journal	May 2013
Icosahedral Short-Range Order in Deeply Undercooled Metallic Melts Schenk, T.; Holland-Moritz, D.; Simonet, V. Physical Review Letters, Vol. 89, Issue 7 https://doi.org/10.1103/physrevlett.89.075507	journal	July 2002
First X-Ray Scattering Studies on Electrostatically Levitated Metallic Liquids: Demonstrated Influence of Local Icosahedral Order on the Nucleation Barrier Kelton, K. F.; Lee, G. W.; Gangopadhyay, A. K. Physical Review Letters, Vol. 90, Issue 19 https://doi.org/10.1103/physrevlett.90.195504	journal	May 2003
Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics Kovtun, P. K.; Son, D. T.; Starinets, A. O. Physical Review Letters, Vol. 94, Issue 11 https://doi.org/10.1103/physrevlett.94.111601	journal	March 2005
Cooperative Shear Model for the Rheology of Glass-Forming Metallic Liquids Demetriou, Marios D.; Harmon, John S.; Tao, Min Physical Review Letters, Vol. 97, Issue 6 https://doi.org/10.1103/physrevlett.97.065502	journal	August 2006
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Undercooled Liquid Viscosity and Glass Formation of a M g ₆₂ C u ₂₆ Y ₁₂ Alloy Wu, Shyue-Sheng; Chin, Tsung-Shune; Su, Kuo-Chang Japanese Journal of Applied Physics, Vol. 35, Issue Part 1, No. 1A https://doi.org/10.1143/JJAP.35.175	journal	January 1996
Undercooled Liquid Viscosity and Glass Formation of a M g ₆₂ C u ₂₆ Y ₁₂ Alloy Wu, Shyue-Sheng; Chin, Tsung-Shune; Su, Kuo-Chang Japanese Journal of Applied Physics, Vol. 35, Issue Part 1, No. 1A https://doi.org/10.1143/jjap.35.175	journal	January 1996
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A Phase Space Approach to Supercooled Liquids and a Universal Collapse of Their Viscosity Weingartner, Nicholas B.; Pueblo, Chris; Nogueira, Flavio S. Frontiers in Materials, Vol. 3 https://doi.org/10.3389/fmats.2016.00050	journal	November 2016
Critical assessment of the equilibrium melting-based, energy distribution theory of supercooled liquids and application to jammed systems Weingartner, Nicholas B.; Pueblo, Chris; Kelton, K. F. arXiv https://doi.org/10.48550/arxiv.1512.04565	preprint	January 2015
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Universal localization transition accompanying glass formation: insights from efficient molecular dynamics simulations of diverse supercooled liquids Hung, Jui-Hsiang; Patra, Tarak K.; Meenakshisundaram, Venkatesh Soft Matter, Vol. 15, Issue 6 https://doi.org/10.1039/c8sm02051e	journal	January 2019
Correlation of the fragility of metallic liquids with the high temperature structure, volume, and cohesive energy Gangopadhyay, A. K.; Pueblo, C. E.; Dai, R. The Journal of Chemical Physics, Vol. 146, Issue 15 https://doi.org/10.1063/1.4981011	journal	April 2017
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Does the Adam-Gibbs relation hold in simulated supercooled liquids? Ozawa, Misaki; Scalliet, Camille; Ninarello, Andrea The Journal of Chemical Physics, Vol. 151, Issue 8 https://doi.org/10.1063/1.5113477	journal	August 2019
Resistivity Saturation in Metallic Liquids Above a Dynamical Crossover Temperature Observed in Measurements Aboard the International Space Station Van Hoesen, D. C.; Gangopadhyay, A. K.; Lohöfer, G. Physical Review Letters, Vol. 123, Issue 22 https://doi.org/10.1103/physrevlett.123.226601	journal	November 2019
Local Density Correlations in Liquids Egami, Takeshi Frontiers in Physics, Vol. 8 https://doi.org/10.3389/fphy.2020.00050	journal	February 2020
Correlation of the fragility of metallic liquids with the high temperature structure, volume, and cohesive energy Gangopadhyay, A. K.; Pueblo, C. E.; Dai, R. arXiv https://doi.org/10.48550/arxiv.1703.03467	text	January 2017
Does the Adam-Gibbs relation hold in simulated supercooled liquids? Ozawa, Misaki; Scalliet, Camille; Ninarello, Andrea arXiv https://doi.org/10.48550/arxiv.1905.08179	text	January 2019

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